Articoli di riviste: "Casimir effect"

1

Pile, David. "Giant Casimir effect". Nature Photonics 8, n. 9 (settembre 2014): 674–75. http://dx.doi.org/10.1038/nphoton.2014.197.

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2

Fisher, D. J. "Maritime Casimir effect". American Journal of Physics 64, n. 10 (ottobre 1996): 1228. http://dx.doi.org/10.1119/1.18354.

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3

Plunien, G. "The Casimir effect". Physics Reports 134, n. 2-3 (marzo 1986): 87–193. http://dx.doi.org/10.1016/0370-1573(86)90020-7.

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4

Kupiszewska, Dorota. "Repulsive Casimir Effect". Journal of Modern Optics 40, n. 3 (marzo 1993): 517–23. http://dx.doi.org/10.1080/09500349314550511.

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5

Frassino, Antonia M., Piero Nicolini e Orlando Panella. "Unparticle Casimir effect". Physics Letters B 772 (settembre 2017): 675–80. http://dx.doi.org/10.1016/j.physletb.2017.07.029.

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6

Fabiano, Nicola. "The Casimir effect". Vojnotehnicki glasnik 71, n. 3 (2023): 740–47. http://dx.doi.org/10.5937/vojtehg71-41282.

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Introduction/purpose: The quantization of the electromagnetic field gives rise to quantum fluctuations which in turn produce a force on macroscopic boundaries. This phenomenon is called the Casimir effect. Method: The second quantization of the electromagnetic field is employed. The Zeta function regularization technique has been applied. Results: Because of the electromagnetic field quantization, a force on macroscopic boundaries is observed. Conclusions: Vacuum fluctuations due to quantum effects give macroscopic results.

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7

Giné, Jaume. "Casimir effect and the uncertainty principle". Modern Physics Letters A 33, n. 24 (3 agosto 2018): 1850140. http://dx.doi.org/10.1142/s0217732318501407.

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The Casimir effect is one of the observable consequences of the vacuum fluctuations. The Casimir effect manifests itself as a force between two uncharged conductive plates in a vacuum placed a few nanometers apart. In this work, we try to deduce the Casimir effect directly from the uncertainty principle.

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8

MOSTEPANENKO, V. M., V. B. BEZERRA, G. L. KLIMCHITSKAYA e C. ROMERO. "NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT". International Journal of Modern Physics: Conference Series 14 (gennaio 2012): 200–214. http://dx.doi.org/10.1142/s2010194512007337.

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Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir-Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions was achieved. We also discuss further possibilities to strengthen constraints on the Yukawa interactions from the Casimir effect.

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9

MOSTEPANENKO, V. M., V. B. BEZERRA, G. L. KLIMCHITSKAYA e C. ROMERO. "NEW CONSTRAINTS ON YUKAWA-TYPE INTERACTIONS FROM THE CASIMIR EFFECT". International Journal of Modern Physics A 27, n. 15 (14 giugno 2012): 1260015. http://dx.doi.org/10.1142/s0217751x12600159.

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Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the Yukawa-type interactions derived during the last two years from recent experiments on measuring the lateral Casimir force, Casimir force in configurations with corrugated boundaries and the Casimir–Polder force. Specifically, from measurements of the lateral Casimir force compared with the exact theory the strengthening of constraints up to a factor of 24 millions was achieved. We also discuss further possibilities to strengthen constraints on the Yukawa interactions from the Casimir effect.

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10

Martinez, J. C., X. Chen e M. B. A. Jalil. "Casimir effect and graphene: Tunability, scalability, Casimir rotor". AIP Advances 8, n. 1 (gennaio 2018): 015330. http://dx.doi.org/10.1063/1.5007787.

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11

GUILFOYLE, BRENDAN, WILHELM KLINGENBERG e SIDDHARTHA SEN. "THE CASIMIR EFFECT BETWEEN NON-PARALLEL PLATES BY GEOMETRIC OPTICS". Reviews in Mathematical Physics 17, n. 08 (settembre 2005): 859–80. http://dx.doi.org/10.1142/s0129055x05002431.

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The first two authors have developed a technique which uses the complex geometry of the space of oriented affine lines in ℝ3 to describe the reflection of rays off a surface. This can be viewed as a parametric approach to geometric optics which has many possible applications. Recently, Jaffe and Scardicchio have developed a geometric optics approximation to the Casimir effect and the main purpose of this paper is to show that the quantities involved can be easily computed by this complex formalism. To illustrate this, we determine explicitly and in closed form the geometric optics approximation of the Casimir force between two non-parallel plates. By making one of the plates finite, we regularize the divergence that is caused by the intersection of the planes. In the parallel plate limit, we prove that our expression reduces to Casimir's original result.

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12

ÖZCAN, MUSTAFA. "SCALAR CASIMIR EFFECT BETWEEN TWO CONCENTRIC SPHERES". International Journal of Modern Physics A 27, n. 16 (17 giugno 2012): 1250082. http://dx.doi.org/10.1142/s0217751x12500820.

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The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of eigenfrequencies. We developed a new approach appropriate for the calculation of the Casimir energy for spherical boundary conditions. The Casimir energy for a massless scalar field between the closely spaced two concentric spheres coincides with the Casimir energy of the parallel plates for a massless scalar field in the limit when the dimensionless parameter η, ([Formula: see text] where a(b) is inner (outer) radius of sphere), goes to zero. The efficiency of new approach is demonstrated by calculation of the Casimir energy for a massless scalar field between the closely spaced two concentric half spheres.

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13

Marachevsky, Valery N. "Chern-Simons boundary layers in the Casimir effect". Modern Physics Letters A 35, n. 03 (16 gennaio 2020): 2040015. http://dx.doi.org/10.1142/s0217732320400155.

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Casimir interaction of two SiO2 glass half spaces being substrates for Chern-Simons boundary layers is studied. The separation between two half spaces at which the Casimir energy minimum occurs is strongly increased for dielectric SiO2 glass substrates in comparison with previously considered metal Au and semiconductor Si substrates. Strong reduction in the Casimir force due to presence of Chern-Simons layers is found for SiO2 glass substrate. Influence of modification of the infrared absorption on the Casimir force is studied.

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14

Kashapov, R., N. Khusnutdinov e L. M. Woods. "The Casimir effect for planar layered system". International Journal of Modern Physics A 31, n. 02n03 (20 gennaio 2016): 1641028. http://dx.doi.org/10.1142/s0217751x16410281.

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We consider the Casimir energy and force for stack of the N conductive planes at zero temperature. The Casimir-Polder force for an atom near this stack is calculated, too. We derive general expressions and make analysis for the case of ideal metal. In all considered cases the finite conductivity plays important role for the Casimir effect.

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15

Fucci, Guglielmo. "The Casimir effect for thick pistons". International Journal of Modern Physics A 31, n. 06 (24 febbraio 2016): 1650012. http://dx.doi.org/10.1142/s0217751x16500123.

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In this work, we analyze the Casimir energy and force for a thick piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force depend explicitly on the parameters that describe the general self-adjoint boundary conditions imposed. Numerical results for the Casimir force are provided for specific types of boundary conditions and are also compared to the corresponding force on an infinitely thin piston.

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16

LAMBRECHT, ASTRID, e SERGE REYNAUD. "CASIMIR EFFECT: THEORY AND EXPERIMENTS". International Journal of Modern Physics: Conference Series 14 (gennaio 2012): 171–80. http://dx.doi.org/10.1142/s2010194512007313.

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The Casimir effect is a crucial prediction of Quantum Field Theory which has fascinating connections with open questions in fundamental physics. The ideal formula written by Casimir does not describe real experiments and it has to be generalized by taking into account the effects of imperfect reflection, thermal fluctuations, geometry as well as the corrections coming from surface physics. We discuss these developments in Casimir physics and give the current status in the comparison between theory and experiment after years of improvements in measurements as well as theory.

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17

LAMBRECHT, ASTRID, e SERGE REYNAUD. "CASIMIR EFFECT: THEORY AND EXPERIMENTS". International Journal of Modern Physics A 27, n. 15 (14 giugno 2012): 1260013. http://dx.doi.org/10.1142/s0217751x12600135.

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Abstract (sommario):

The Casimir effect is a crucial prediction of Quantum Field Theory which has fascinating connections with open questions in fundamental physics. The ideal formula written by Casimir does not describe real experiments and it has to be generalized by taking into account the effects of imperfect reflection, thermal fluctuations, geometry as well as the corrections coming from surface physics. We discuss these developments in Casimir physics and give the current status in the comparison between theory and experiment after years of improvements in measurements as well as theory.

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18

Shen, Li, Shi Qiao Gao e Yan Wei Guan. "The Effect of Casimir Force to the Performance of the Micro-Accelerometer". Key Engineering Materials 562-565 (luglio 2013): 247–50. http://dx.doi.org/10.4028/www.scientific.net/kem.562-565.247.

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Casimir had measured the Casimir force through experimental methods, and fitted the empirical formula between the plates. On its basis we analyse that when the gap of two separating surfaces achieves submicron in micro devices, the effect of the Casimir force to the micro-devices is great and this Casimir effect can not be ignored. The results show that: Considering the Casimir force or not, the extreme value of acceleration which can be detected by micro-accelerometer is different, and we have got the specific numerical fitting figure by Matlab .

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19

Chemisana, Daniel, Jaume Giné e Jaime Madrid. "Quantum fluctuations and the Casimir effect". International Journal of Modern Physics D 29, n. 08 (giugno 2020): 2050059. http://dx.doi.org/10.1142/s0218271820500595.

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The most important observable consequence of the vacuum fluctuations is the Casimir effect. Its classical manifestation is a force between two uncharged conductive plates placed a few nanometers apart. In this work, we improve the deduction of the Casimir effect from the uncertainty principle by using an effective radius for the quantum fluctuations. Moreover, the existence of this effective distance is discussed. Finally, a heuristic derivation of the Casimir energy for a spherical shell and a sphere-plate cases is given.

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20

Wang, Jing. "GRAVITATIONAL CASIMIR EFFECT IN INSPIRALLING NEUTRON STAR BINARY". International Journal of Advanced Research 10, n. 02 (28 febbraio 2022): 1134–40. http://dx.doi.org/10.21474/ijar01/14322.

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Currently, the discussions and investigations for the vacuum energy are drawing great both theoretical and experimental attention. The vacuum states of variety of fields, subject to special boundary conditions, may contribute to non-trivial macroscopic vacuum energy, i.e., the Casimir effect, which become an interdisciplinary subject and plays an important role in a variety of fields of physics. We adopt Schwingers source theory and study the quantization of gravitation contributions to the Casimir effect, i.e., the gravitational Casimir effect, in inspiraling neutron star binaries with wide separation of 109 m. By considering gravitoelectromagnetism (GEM) arising from the spiral-in orbital motion and evaluating the gravitoelectromagnetic contributions to the vacuum energy of gravitons radiated during the orbital decay, we demonstrate that, when the radial separation of the system decay a distance L, the GEM results in a small Casimir correction to the gravitational vacuum energy, which contributes to an attractive gravitational Casimir force to the binary, in addition to the gravitational force. We also discuss the possible detections for such gravitational Casimir effect from both the future space-based gravitational wave observatories and cosmological observations.

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21

OIKONOMOU, V. K. "CASIMIR EFFECT AND FUZZY SPHERE AS EXTRA DIMENSIONAL SPACE". Modern Physics Letters A 25, n. 10 (28 marzo 2010): 767–79. http://dx.doi.org/10.1142/s0217732310032810.

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We calculate the scalar Casimir energy for a Minkowski spacetime with Td × SFZ as extra dimensional space, with Td the d-dimensional commutative torus and SFZ the noncommutative two-sphere. We compute the Casimir energy up to one-loop level in order to address the stabilization of the internal space issue. We found that, contrary to the noncommutative two-torus case, the one-loop Casimir energy is singular, when D = even , therefore cannot give reliable results, when D = 4. However, when D = odd and d = even , the Casimir energy is always regular and a stabilization radius for the internal commutative space exists.

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22

Larraza, Andrés, Christopher D. Holmes, Robert T. Susbilla e Bruce Denardo. "An acoustic Casimir effect". Journal of the Acoustical Society of America 103, n. 5 (maggio 1998): 2763. http://dx.doi.org/10.1121/1.421425.

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23

Milton, Kimball A. "On-chip Casimir effect". Nature Photonics 11, n. 2 (febbraio 2017): 73–74. http://dx.doi.org/10.1038/nphoton.2016.277.

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24

Larraza, Andrés, e Bruce Denardo. "An acoustic Casimir effect". Physics Letters A 248, n. 2-4 (novembre 1998): 151–55. http://dx.doi.org/10.1016/s0375-9601(98)00652-5.

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25

Belinfante, Frederik J. "The Casimir effect revisited". American Journal of Physics 55, n. 2 (febbraio 1987): 134–38. http://dx.doi.org/10.1119/1.15230.

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26

Moraes, Fernando. "Casimir effect around disclinations". Physics Letters A 204, n. 5-6 (agosto 1995): 399–404. http://dx.doi.org/10.1016/0375-9601(95)00524-7.

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27

Sanz, Mikel, Witlef Wieczorek, Simon Gröblacher e Enrique Solano. "Electro-mechanical Casimir effect". Quantum 2 (3 settembre 2018): 91. http://dx.doi.org/10.22331/q-2018-09-03-91.

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The dynamical Casimir effect is an intriguing phenomenon in which photons are generated from vacuum due to a non-adiabatic change in some boundary conditions. In particular, it connects the motion of an accelerated mechanical mirror to the generation of photons. While pioneering experiments demonstrating this effect exist, a conclusive measurement involving a mechanical generation is still missing. We show that a hybrid system consisting of a piezoelectric mechanical resonator coupled to a superconducting cavity may allow to electro-mechanically generate measurable photons from vacuum, intrinsically associated to the dynamical Casimir effect. Such an experiment may be achieved with current technology, based on film bulk acoustic resonators directly coupled to a superconducting cavity. Our results predict a measurable photon generation rate, which can be further increased through additional improvements such as using superconducting metamaterials.

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28

CHEN, Hong, YaPing YANG e JingPing XU. "Metamaterials and Casimir effect". Chinese Science Bulletin 56, n. 13 (1 maggio 2011): 985–94. http://dx.doi.org/10.1360/972011-211.

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29

Hu, Jiawei, e Hongwei Yu. "Gravitational Casimir–Polder effect". Physics Letters B 767 (aprile 2017): 16–19. http://dx.doi.org/10.1016/j.physletb.2017.01.038.

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30

Sircar, Avirup, Puneet Kumar Patra e Romesh C. Batra. "Casimir force and its effects on pull-in instability modelled using molecular dynamics simulations". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, n. 2242 (ottobre 2020): 20200311. http://dx.doi.org/10.1098/rspa.2020.0311.

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We present a new methodology to incorporate the Casimir forces within the molecular dynamics (MD) framework. At atomistic scales, the potential energy between two particles arising due to the Casimir effect can be represented as U ( r ij ) = C / r 7 . Incorporating the Casimir effect in MD simulations requires the knowledge of C , a problem hitherto unsolved. We overcome this by equating the total potential energy contributions due to each atomistic pair with the potential energy of continuum scale interacting bodies having similar geometries. After having identified the functional form of C , standard MD simulations are augmented with the potential energy contribution due to pairwise Casimir interactions. The developed framework is used to study effects of the Casimir force on the pull-in instability of rectangular and hollow cylindrical shaped deformable electrodes separated by a small distance from a fixed substrate electrode. Our MD results for pull-instability qualitatively agree with the previously reported analytical results but are quantitatively different. The effect of using longer-ranged Casimir forces in a constant temperature environment on the pull-in behaviour has also been studied.

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31

ZHAI, XIANG-HUA, YANG YANG e JIE LAI. "FINITE TEMPERATURE CASIMIR EFFECT FOR PERFECTLY CONDUCTING PARALLEL PLATES IN (D + 1)-DIMENSIONAL SPACETIME". International Journal of Modern Physics: Conference Series 07 (gennaio 2012): 202–8. http://dx.doi.org/10.1142/s2010194512004278.

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We study the finite temperature Casimir effect between perfectly conducting parallel plates in (D + 1)-dimensional spacetime by using zeta-function regularization technique. We get the analytical results for Casimir energy, Casimir free energy, Casimir entropy and Casimir pressure expressed by Riemann zeta function and Bessel function and give the asymptotic expressions for low and high temperature limits. In the case of D = 3, through mathematic transformation, we reproduce the standard results in the literature which is in most times obtained by using Green's function regularization technique.

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32

ÖZCAN, MUSTAFA. "SCALAR CASIMIR EFFECT BETWEEN TWO CONCENTRIC D-DIMENSIONAL SPHERES". International Journal of Modern Physics A 27, n. 18 (17 luglio 2012): 1250094. http://dx.doi.org/10.1142/s0217751x12500947.

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The Casimir energy for a massless scalar field between the closely spaced two concentric D-dimensional (for D>3) spheres is calculated by using the mode summation with contour integration in the complex plane of eigenfrequencies and the generalized Abel–Plana formula for evenly spaced eigenfrequency at large argument. The sign of the Casimir energy between closely spaced two concentric D-dimensional spheres for a massless scalar field satisfying the Dirichlet boundary conditions is strictly negative. The Casimir energy between (D-1)-dimensional surfaces, close to each other is regarded as interesting both by itself and as the key to describing of stability of the attractive Casimir force.

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33

Pereira, S. H., J. M. Hoff da Silva e Rubia dos Santos. "Casimir effect for Elko fields". Modern Physics Letters A 32, n. 22 (27 giugno 2017): 1730016. http://dx.doi.org/10.1142/s0217732317300166.

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The Casimir effect for mass dimension one fermion fields (sometimes called Elko) in (3 + 1) dimensions is obtained using Dirichlet boundary conditions. It is shown that the existence of a repulsive force is four times greater than the case of the scalar field. The precise reason for such differences are highlighted and interpreted, as well as the right parallel of the Casimir effect due to scalar and fermionic fields.

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34

Carbó-Dorca, Ramon. "A naïve HMO study of the casimir effect". Journal of Mathematical Chemistry 60, n. 3 (31 gennaio 2022): 581–85. http://dx.doi.org/10.1007/s10910-021-01323-6.

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AbstractThe Casimir effect is discussed via an HMO treatment. At this schematic theoretical level, the Casimir effect might be considered as the result of the general quantum mechanical interaction behavior of two sets of particles.

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Intravaia, F., e A. Lambrecht. "The Role of Surface Plasmon Modes in the Casimir Effect". Open Systems & Information Dynamics 14, n. 02 (giugno 2007): 159–68. http://dx.doi.org/10.1007/s11080-007-9044-4.

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In this paper, we study the role of surface plasmon modes in the Casimir effect. First we write the Casimir energy as the sum over the modes of a real cavity. We may identify two sorts of modes, two evanescent surface plasmon modes and propagative modes. As one of the surface plasmon modes becomes propagative for some choice of parameters we adopt an adiabatic mode definition where we follow this mode into the propagative sector and count it together with the surface plasmon contribution, calling this contribution “plasmonic”. The remaining modes are propagative cavity modes, which we call “photonic”. The Casimir energy contains two main contributions, one coming from the plasmonic, the other from the photonic modes. Surprisingly we find that the plasmonic contribution to the Casimir energy becomes repulsive for intermediate and large mirror separations. Alternatively, we discuss the common surface plasmon defintion, which includes only evanescent waves, where this effect is not found. We show that, in contrast to an intuitive expectation, for both definitions the Casimir energy is the sum of two very large contributions which nearly cancel each other. The contribution of surface plasmons to the Casimir energy plays a fundamental role not only at short but also at large distances.

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SERNELIUS, BO E. "THE THERMAL CASIMIR EFFECT: SATURATION". International Journal of Modern Physics A 25, n. 11 (30 aprile 2010): 2319–27. http://dx.doi.org/10.1142/s0217751x10049591.

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This article addresses the discrepancies between theoretical and experimental results obtained for the thermal Casimir effect. Here we test the possibility that saturation effects may be the root of the problems. We present graphs that describe the numerical derivations in great detail.

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ZHAI, XIANG-HUA, XIN-ZHOU LI e CHAO-JUN FENG. "THE CASIMIR FORCE OF QUANTUM SPRING IN THE (D+1)-DIMENSIONAL SPACETIME". Modern Physics Letters A 26, n. 09 (21 marzo 2011): 669–79. http://dx.doi.org/10.1142/s0217732311035110.

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The Casimir effect for a massless scalar field on the helix boundary condition which is named as quantum spring is studied in our recent paper.27 Here, the Casimir effect of the quantum spring is investigated in (D+1)-dimensional spacetime for the massless and massive scalar fields by using the zeta function techniques. We obtain the exact results of the Casimir energy and Casimir force for any D, which indicate a Z2 symmetry of the two space dimensions. The Casimir energy and Casimir force have different expressions for odd and even dimensional space in the massless case but in both cases the force is attractive. In the case of odd-dimensional space, the Casimir energy density can be expressed by the Bernoulli numbers, while in the even case it can be expressed by the ζ-function. And we also show that the Casimir force has a maximum value which depends on the spacetime dimensions. In particular, for a massive scalar field, we found that the Casimir force varies as the mass of the field changes.

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FERRARI, A. F., H. O. GIROTTI, M. GOMES, A. YU PETROV e A. J. DA SILVA. "HOŘAVA–LIFSHITZ MODIFICATIONS OF THE CASIMIR EFFECT". Modern Physics Letters A 28, n. 12 (19 aprile 2013): 1350052. http://dx.doi.org/10.1142/s0217732313500521.

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We study the modifications induced by spacetime anisotropy on the Casimir effect in the case of two parallel plates. Non-perturbative and perturbative regimes are analyzed. In the first case, the Casimir force either vanishes or it reverses its direction which, in any case, makes the proposal untenable. On the other hand, the perturbative model enables us to incorporate appropriately the effects of spacetime anisotropy.

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KLIMCHITSKAYA, G. L., e U. MOHIDEEN. "CONSTRAINTS ON YUKAWA-TYPE HYPOTHETICAL INTERACTIONS FROM RECENT CASIMIR FORCE MEASUREMENTS". International Journal of Modern Physics A 17, n. 29 (20 novembre 2002): 4143–52. http://dx.doi.org/10.1142/s0217751x02013162.

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Constraints on the Yukawa-type long-range interactions following from the Casimir effect are considered. The constraints obtained from the recent Casimir force measurements by means of a torsion pendulum and an atomic force microscope are collected and compared. New constraints are obtained from the measurement of the lateral Casimir force. The conclusion is made that the Casimir effect has an advantage over the conventional methods in obtaining stronger constraints on hypothetical interactions.

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Zhai, Xiang-Hua, Rui-Hui Lin, Chao-Jun Feng e Xin-Zhou Li. "Some developments of the Casimir effect in p-cavity of (D + 1)-dimensional space–time". International Journal of Modern Physics A 29, n. 30 (8 dicembre 2014): 1430068. http://dx.doi.org/10.1142/s0217751x14300683.

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The Casimir effect for rectangular boxes has been studied for several decades. But there are still some unclear points. Recently, there are new developments related to this topic, including the demonstration of the equivalence of the regularization methods and the clarification of the ambiguity in the regularization of the temperature-dependent free energy. Also, the interesting quantum spring was raised stemming from the topological Casimir effect of the helix boundary conditions. We review these developments together with the general derivation of the Casimir energy of the p-dimensional cavity in (D + 1)-dimensional space–time, paying special attention to the sign of the Casimir force in a cavity with unequal edges. In addition, we also review the Casimir piston, which is a configuration related to rectangular cavity.

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SETARE, M. R., e A. H. REZAEIAN. "TRACE ANOMALY AND CASIMIR EFFECT". Modern Physics Letters A 15, n. 35 (20 novembre 2000): 2159–64. http://dx.doi.org/10.1142/s0217732300002449.

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The Casimir energy for scalar field of two parallel conductors in two-dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress–tensor. We show that vacuum expectation values of stress–tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal coupling reduces to the conformal coupling and stress–tensor can be obtained by the local and nonlocal contributions of the anomalous trace. This work shows that there exists a subtle and deep connection between Casimir effect and trace anomaly in curved space–time.

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42

Lu, Bing-Sui. "The Casimir Effect in Topological Matter". Universe 7, n. 7 (9 luglio 2021): 237. http://dx.doi.org/10.3390/universe7070237.

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We give an overview of the work done during the past ten years on the Casimir interaction in electronic topological materials, our focus being solids, which possess surface or bulk electronic band structures with nontrivial topologies, which can be evinced through optical properties that are characterizable in terms of nonzero topological invariants. The examples we review are three-dimensional magnetic topological insulators, two-dimensional Chern insulators, graphene monolayers exhibiting the relativistic quantum Hall effect, and time reversal symmetry-broken Weyl semimetals, which are fascinating systems in the context of Casimir physics. Firstly, this is for the reason that they possess electromagnetic properties characterizable by axial vectors (because of time reversal symmetry breaking), and, depending on the mutual orientation of a pair of such axial vectors, two systems can experience a repulsive Casimir–Lifshitz force, even though they may be dielectrically identical. Secondly, the repulsion thus generated is potentially robust against weak disorder, as such repulsion is associated with the Hall conductivity that is topologically protected in the zero-frequency limit. Finally, the far-field low-temperature behavior of the Casimir force of such systems can provide signatures of topological quantization.

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43

FENG, CHAO-JUN, XIN-ZHOU LI e XIANG-HUA ZHAI. "CASIMIR EFFECT UNDER QUASI-PERIODIC BOUNDARY CONDITION INSPIRED BY NANOTUBES". Modern Physics Letters A 29, n. 02 (20 gennaio 2014): 1450004. http://dx.doi.org/10.1142/s0217732314500047.

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When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there could be an arbitrary phase difference between the value of the scalar field on one endpoint of the unit structure and that on the other endpoint, such as the structure of nanotubes. Then, in this paper, a periodic condition on the ends of the system with an additional phase factor, which is called the "quasi-periodic" condition, is imposed to investigate the corresponding Casimir effect. And an attractive or repulsive Casimir force is found, whose properties depend on the phase angle value. Especially, the Casimir effect disappears when the phase angle takes a particular value. High dimensional spacetime case is also investigated.

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44

Fucci, Guglielmo. "The Casimir effect for pistons with transmittal boundary conditions". International Journal of Modern Physics A 32, n. 31 (8 novembre 2017): 1750182. http://dx.doi.org/10.1142/s0217751x17501822.

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This work focuses on the analysis of the Casimir effect for pistons subject to transmittal boundary conditions. In particular we consider, as piston configuration, a direct product manifold of the type [Formula: see text] where [Formula: see text] is a closed interval of the real line and [Formula: see text] is a smooth compact Riemannian manifold. By utilizing the spectral zeta function regularization technique, we compute the Casimir energy of the system and the Casimir force acting on the piston. Explicit results for the force are provided when the manifold [Formula: see text] is a [Formula: see text]-dimensional sphere.

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45

Mostepanenko, V. M., e N. N. Trunov. "The Casimir effect and its applications". Uspekhi Fizicheskih Nauk 156, n. 11 (1988): 385. http://dx.doi.org/10.3367/ufnr.0156.198811a.0385.

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46

Farrokhabadi, Amin, Javad Mokhtari, Randolph Rach e Mohamadreza Abadyan. "Modeling the influence of the Casimir force on the pull-in instability of nanowire-fabricated nanotweezers". International Journal of Modern Physics B 29, n. 02 (22 dicembre 2014): 1450245. http://dx.doi.org/10.1142/s0217979214502452.

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The Casimir force can strongly interfere with the pull-in performance of ultra-small structures. The strength of the Casimir force is significantly affected by the geometries of interacting bodies. Previous investigators have exclusively studied the effect of the Casimir force on the electromechanical instability of nanostructures with planar geometries. However no work has yet considered this effect on the pull-in instability of systems with cylindrical geometries such as nanotweezers fabricated from nanotube/nanowires. In our present work, the influence of the Casimir attraction on the electrostatic response and pull-in instability of nanotweezers fabricated from cylindrical conductive nanowires/nanotubes is theoretically investigated. An asymptotic solution, based on scattering theory, is applied to consider the effect of vacuum fluctuations in the theoretical model. The Euler–Bernoulli beam model is employed, in conjunction with the size-dependent modified couple stress continuum theory, to derive the governing equation of the nanotweezers. The governing nonlinear equations are solved by two different approaches, i.e., the modified Adomian–Padé method (MAD–Padé) and a numerical solution. Various aspects of the problem, i.e., the variation of pull-in parameters, effect of geometry, coupling between the Casimir force and size dependency effects and comparison with the van der Waals force regime are discussed.

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47

CHENG, HONGBO. "ON THE CASIMIR EFFECT FOR PARALLEL PLATES IN THE SPACETIME WITH ONE EXTRA COMPACTIFIED DIMENSION". Modern Physics Letters A 21, n. 25 (20 agosto 2006): 1957–63. http://dx.doi.org/10.1142/s0217732306019931.

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In this paper, the Casimir effect for parallel plates in the presence of one compactified universal extra dimension is re-examined in detail. Having regularized the expressions of Casimir force, we show that the nature of Casimir force is repulsive if the distance between the plates is large enough, which does not agree with the experimental phenomena.

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48

Brevik, Iver, Subhojit Pal, Yang Li, Ayda Gholamhosseinian e Mathias Boström. "Axion Electrodynamics and the Casimir Effect". Physics 6, n. 1 (14 marzo 2024): 407–21. http://dx.doi.org/10.3390/physics6010027.

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We present a concise review of selected parts of axion electrodynamics and their application to Casimir physics. We present the general formalism including the boundary conditions at a dielectric surface, derive the dispersion relation in the case where the axion parameter has a constant spatial derivative in the direction normal to the conducting plates, and calculate the Casimir energy for the simple case of scalar electrodynamics using dimensional regularization.

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49

GIES, H., e A. WEBER. "GEOMETRY-TEMPERATURE INTERPLAY IN THE CASIMIR EFFECT". International Journal of Modern Physics A 25, n. 11 (30 aprile 2010): 2279–92. http://dx.doi.org/10.1142/s0217751x10049554.

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We discuss Casimir phenomena which are dominated by long-range fluctuations. A prime example is given by "geothermal" Casimir phenomena where thermal fluctuations in open Casimir geometries can induce significantly enhanced thermal corrections. We illustrate the underlying mechanism with the aid of the inclined-plates configuration, giving rise to enhanced power-law temperature dependences compared to the parallel-plates case. In limiting cases, we find numerical evidence even for fractional power laws induced by long-range fluctuations. We demonstrate that thermal energy densities for open geometries are typically distributed over length scales of 1/T. As an important consequence, approximation methods for thermal corrections based on local energy-density estimates such as the proximity-force approximation are expected to become unreliable even at small surface separations.

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50

Farina, Carlos. "The Casimir effect: some aspects". Brazilian Journal of Physics 36, n. 4a (dicembre 2006): 1137–49. http://dx.doi.org/10.1590/s0103-97332006000700006.

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