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Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

Arroyo, Raoni Wohnrath, and Jonas R. Becker Arenhart. "A (META)METAFÍSICA DA CIÊNCIA: O CASO DA MECÂNICA QUÂNTICA NÃO RELATIVISTA." Kriterion: Revista de Filosofia 63, no. 152 (August 2022): 275–96. http://dx.doi.org/10.1590/0100-512x2022n15201rwa.

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RESUMO Tradicionalmente, ser realista sobre algo significa crer na existência independente desse algo. Em termos ontológicos, isto é, acerca do que há, o realismo científico pode ser entendido como envolvendo a adoção de uma ontologia que seja cientificamente informada. Mas, segundo alguns filósofos, a atitude realista deve ir além da ontologia. A forma como essa exigência tem sido entendida envolve fornecer uma metafísica para as entidades postuladas pela ciência. Discutimos como duas abordagens em voga encaram o desafio de fornecer uma metafísica para a ciência: uma forma de naturalismo e a abordagem Viking/Toolbox. Por fim, apresentamos uma terceira via, que adota o melhor das duas abordagens: o método metapopperiano, que foca em descartarmos quais as alternativas erradas, ou melhor dizendo, os perfis metafísicos incompatíveis com certas teorias. Apresentamos o método metapopperiano, um método de metametafísica capaz de avaliar objetivamente quais os perfis metafísicos que são incompatíveis com certas teorias científicas. Para isso, usaremos como estudo de caso a mecânica quântica, mostrando resultados obtidos previamente. Com esse método, podemos ver como a ciência pode ser usada para evitar o erro em questões metafísicas. Essa seria, na nossa opinião, uma forma de desenvolver uma relação produtiva entre ciência e metafísica.

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2

Szmytkowski, Radoslaw, and Jürgen Hinze. "Convergence of the non-relativistic and relativisticR-matrix expansions at the reaction volume boundary." Journal of Physics B: Atomic, Molecular and Optical Physics 29, no. 16 (August 28, 1996): 3800–3801. http://dx.doi.org/10.1088/0953-4075/29/16/023.

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3

Szmytkowski, Radoslaw, and Jürgen Hinze. "Convergence of the non-relativistic and relativisticR-matrix expansions at the reaction volume boundary." Journal of Physics B: Atomic, Molecular and Optical Physics 29, no. 4 (February 28, 1996): 761–77. http://dx.doi.org/10.1088/0953-4075/29/4/018.

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4

Kashiwa, T., and T. Yamaguchi. "Relativistic remnants of non-relativistic electrons." Progress of Theoretical and Experimental Physics 2014, no. 10 (October 8, 2014): 103B01. http://dx.doi.org/10.1093/ptep/ptu126.

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5

Droz-Vincent, Philippe. "Relativistic versus non-relativistic mass spectrum." Physics Letters B 159, no. 4-6 (September 1985): 393–96. http://dx.doi.org/10.1016/0370-2693(85)90275-8.

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6

ZEKOVIĆ, VLADIMIR, BOJAN ARBUTINA, ALEKSANDRA DOBARDŽIĆ, and MARKO Z. PAVLOVIĆ. "RELATIVISTIC NON-THERMAL BREMSSTRAHLUNG RADIATION." International Journal of Modern Physics A 28, no. 29 (November 20, 2013): 1350141. http://dx.doi.org/10.1142/s0217751x13501418.

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By applying a method of virtual quanta we derive formulae for relativistic non-thermal bremsstrahlung radiation from relativistic electrons as well as from protons and heavier particles with power-law momentum distribution N(p)dp = k p-qdp. We show that emission which originates from an electron scattering on an ion, represents the most significant component of relativistic non-thermal bremsstrahlung. Radiation from an ion scattering on electron, known as inverse bremsstrahlung, is shown to be negligible in overall non-thermal bremsstrahlung emission. These results arise from theory refinement, where we introduce the dependence of relativistic kinetic energy of an incident particle, upon the energy of scattered photon. In part, it is also a consequence of a different mass of particles and relativistic effects.

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7

Banerjee, Nabamita, and Sayali Atul Bhatkar. "Non-Relativistic Fluids." Current Science 112, no. 07 (April 1, 2017): 1385. http://dx.doi.org/10.18520/cs/v112/i07/1385-1389.

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8

Gomis, Joaquim, Kiyoshi Kamimura, and Paul K. Townsend. "Non-Relativistic Superbranes." Journal of High Energy Physics 2004, no. 11 (November 20, 2004): 051. http://dx.doi.org/10.1088/1126-6708/2004/11/051.

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9

Gomis, Joaquim, Filippo Passerini, Toni Ramirez, and Antoine Van Proeyen. "Non relativistic Dpbranes." Journal of High Energy Physics 2005, no. 10 (October 4, 2005): 007. http://dx.doi.org/10.1088/1126-6708/2005/10/007.

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10

Mazzucato, Luca, Yaron Oz, and Stefan Theisen. "Non-relativistic branes." Journal of High Energy Physics 2009, no. 04 (April 20, 2009): 073. http://dx.doi.org/10.1088/1126-6708/2009/04/073.

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11

Bödeker, Dietrich, and Mirco Wörmann. "Non-relativistic leptogenesis." Journal of Cosmology and Astroparticle Physics 2014, no. 02 (February 11, 2014): 016. http://dx.doi.org/10.1088/1475-7516/2014/02/016.

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12

Bugaev, K. A., D. R. Oliinychenko, A. I. Ivanytskyi, J. Cleymans, E. S. Mironchuk, E. G. Nikonov, A. V. Taranenko, and G. M. Zinovjev. "Separate Chemical Freeze-Outs of Strange and Non-Strange Hadrons and Problem of Residual Chemical Non-Equilibrium of Strangeness in Relativistic Heavy Ion Collisions." Ukrainian Journal of Physics 61, no. 8 (August 2016): 659–73. http://dx.doi.org/10.15407/ujpe61.08.0659.

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13

Bergshoeff, Eric, Joaquim Gomis, and Patricio Salgado-Rebolledo. "Non-relativistic limits and three-dimensional coadjoint Poincaré gravity." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2240 (August 2020): 20200106. http://dx.doi.org/10.1098/rspa.2020.0106.

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We show that a recently proposed action for three-dimensional non-relativistic gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the coadjoint Poincaré algebra. We point out the similarity of our construction with the way that three-dimensional Galilei gravity and extended Bargmann gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the Poincaré algebra. We extend our results to the anti-de Sitter case and we will see that there is a chiral decomposition at both the relativistic and non-relativistic level. We comment on possible further generalizations.

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14

Klusoň, J. "Non-relativistic non-BPS Dp-brane." Nuclear Physics B 765, no. 1-2 (March 2007): 185–99. http://dx.doi.org/10.1016/j.nuclphysb.2006.12.010.

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15

Lan, Boon Leong, Mehdi Pourzand, and Rui Jian Chu. "Breakdown of agreement between non-relativistic and relativistic quantum dynamical predictions in the non-relativistic regime." Results in Physics 12 (March 2019): 147–52. http://dx.doi.org/10.1016/j.rinp.2018.11.050.

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16

Pérez Canals, Enric. "The non-relativistic Einstein." Metascience 31, no. 1 (October 15, 2021): 25–26. http://dx.doi.org/10.1007/s11016-021-00697-2.

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17

Silivra, A. A. "Tunable non-relativistic FEL." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 475, no. 1-3 (December 2001): 132–36. http://dx.doi.org/10.1016/s0168-9002(01)01696-5.

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18

Tomaschitz, Roman. "Nonlinear non-relativistic gravity." Chaos, Solitons & Fractals 9, no. 7 (July 1998): 1199–209. http://dx.doi.org/10.1016/s0960-0779(98)80006-4.

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19

Haba, Z. "Non-linear relativistic diffusions." Physica A: Statistical Mechanics and its Applications 390, no. 15 (August 2011): 2776–86. http://dx.doi.org/10.1016/j.physa.2011.03.025.

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20

Moya-Cessa, Héctor Manuel. "Non-relativistic quantum mechanics." Contemporary Physics 59, no. 3 (June 28, 2018): 325. http://dx.doi.org/10.1080/00107514.2018.1480531.

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21

Tarasov, Vasily E. "Relativistic non-Hamiltonian mechanics." Annals of Physics 325, no. 10 (October 2010): 2103–19. http://dx.doi.org/10.1016/j.aop.2010.06.011.

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22

Boettcher, I., T. K. Herbst, J. M. Pawlowski, N. Strodthoff, L. von Smekal, and C. Wetterich. "Sarma phase in relativistic and non-relativistic systems." Physics Letters B 742 (March 2015): 86–93. http://dx.doi.org/10.1016/j.physletb.2015.01.014.

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23

Banerjee, Manoj K., and John A. Tjon. "Relativistic and non-relativistic studies of nuclear matter." Nuclear Physics A 708, no. 3-4 (October 2002): 303–11. http://dx.doi.org/10.1016/s0375-9474(02)01022-9.

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24

CERCHIAI, B. L., S. SCHRAML, and J. WESS. "q-DEFORMED NON-RELATIVISTIC AND RELATIVISTIC QUANTUM MECHANICS." International Journal of Modern Physics B 13, no. 24n25 (October 10, 1999): 3049–68. http://dx.doi.org/10.1142/s021797929900285x.

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25

Haouam, Ilyas. "The Non-Relativistic Limit of the DKP Equation in Non-Commutative Phase-Space." Symmetry 11, no. 2 (February 14, 2019): 223. http://dx.doi.org/10.3390/sym11020223.

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The non-relativistic limit of the relativistic DKP equation for both of zero and unity spin particles is studied through the canonical transformation known as the Foldy–Wouthuysen transformation, similar to that of the case of the Dirac equation for spin-1/2 particles. By considering only the non-commutativity in phases with a non-interacting fields case leads to the non-commutative Schrödinger equation; thereafter, considering the non-commutativity in phase and space with an external electromagnetic field thus leads to extract a phase-space non-commutative Schrödinger–Pauli equation; there, we examined the effect of the non-commutativity in phase-space on the non-relativistic limit of the DKP equation. However, with both Bopp–Shift linear transformation through the Heisenberg-like commutation relations, and the Moyal–Weyl product, we introduced the non-commutativity in phase and space.

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26

Podhorský, Michal, Lukáš Bučinský, Dylan Jayatilaka, and Simon Grabowsky. "HgH2 meets relativistic quantum crystallography. How to teach relativity to a non-relativistic wavefunction." Acta Crystallographica Section A Foundations and Advances 77, no. 1 (January 1, 2021): 54–66. http://dx.doi.org/10.1107/s2053273320014837.

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The capability of X-ray constrained wavefunction (XCW) fitting to introduce relativistic effects into a non-relativistic wavefunction is tested. It is quantified how much of the reference relativistic effects can be absorbed in the non-relativistic XCW calculation when fitted against relativistic structure factors of a model HgH2 molecule. Scaling of the structure-factor sets to improve the agreement statistics is found to introduce a significant systematic error into the XCW fitting of relativistic effects.

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27

Sfarti, A. "Tachyon – A Non-Existent Particle." European Journal of Applied Physics 3, no. 2 (March 15, 2021): 1–2. http://dx.doi.org/10.24018/ejphysics.2021.3.2.56.

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In a 1967 paper [1], G. Feinberg conjectured about the possibility of “faster-than-light” particles. In the current note we prove his conjecture to be false by showing that he missed several key counter-arguments to their existence. We explain why the existence of tachyons contradicts both relativistic kinematics and relativistic dynamics. Our paper is divided in two sections: the kinematic counter-arguments and the dynamics counter-arguments.

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28

Escobedo, Miguel Ángel, and Tuomas Lappi. "The dipole picture and the non-relativistic expansion." EPJ Web of Conferences 258 (2022): 04006. http://dx.doi.org/10.1051/epjconf/202225804006.

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We study exclusive quarkonium production in the dipole picture at next-to-leading order (NLO) accuracy, using the non-relativistic expansion for the quarkonium wavefunction. The quarkonium light cone wave functions needed in the dipole picture have typically been available only at tree level, either in phenomenological models or in the nonrelativistic limit. Here, we discuss the compatibility of the dipole approach and the non-relativistic expansion and compute NLO relativistic corrections to the quarkonium light-cone wave function in light-cone gauge.

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29

Pestka, Grzegorz, and Jacek Karwowski. "Dirac-Coulomb Hamiltonian in N-Electron Model Spaces." Collection of Czechoslovak Chemical Communications 68, no. 2 (2003): 275–94. http://dx.doi.org/10.1135/cccc20030275.

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Relations between matrices representing non-relativistic and relativistic N-electron Hamiltonians in N-electron model spaces are analyzed. The model spaces are defined as the antisymmetric parts of products of the N-th Kronecker power of either a two-dimensional (the non-relativistic case) or four-dimensional (the relativistic case) spinor space and of an orbital (or configurational) space. The explicit relation between the matrices corresponding to the relativistic and non-relativistic cases is derived and its practical implications are briefly discussed.

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30

Arnbak, H., P. L. Christiansen, and Yu B. Gaididei. "Non-relativistic and relativistic scattering by short-range potentials." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1939 (March 28, 2011): 1228–44. http://dx.doi.org/10.1098/rsta.2010.0330.

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Relativistic and non-relativistic scattering by short-range potentials is investigated for selected problems. Scattering by the δ ′ potential in the Schrödinger equation and δ potentials in the Dirac equation must be solved by regularization, efficiently carried out by a perturbation technique involving a stretched variable. Asymmetric regularizations yield non-unique scattering coefficients. Resonant penetration through the potentials is found. Approximative Schrödinger equations in the non-relativistic limit are discussed in detail.

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31

Caldas, Heron. "Effective fermion mass in relativistic and non-relativistic systems." New Journal of Physics 23, no. 6 (June 1, 2021): 063019. http://dx.doi.org/10.1088/1367-2630/ac0203.

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32

Ván, Peter. "Generic stability of dissipative non-relativistic and relativistic fluids." Journal of Statistical Mechanics: Theory and Experiment 2009, no. 02 (February 23, 2009): P02054. http://dx.doi.org/10.1088/1742-5468/2009/02/p02054.

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33

TERASAKI, JUN, S. Q. ZHANG, S. G. ZHOU, and J. MENG. "COMPARISON OF RELATIVISTIC AND NON-RELATIVISTIC APPROACHES IN HALO." International Journal of Modern Physics E 15, no. 08 (November 2006): 1833–41. http://dx.doi.org/10.1142/s0218301306005381.

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The phenomena of giant halo and halo of neutron-rich even- Ca isotopes are investigated and compared in the framework of the relativistic continuum Hartree-Bogoliubov (RCHB) and non-relativistic Skyrme Hartree-Fock-Bogoliubov (HFB) calculations. With two parameter sets for each of the RCHB and the Skyrme HFB calculations, it is found that although halo phenomena exist for Ca isotopes near neutron drip line in both calculations, the halo of the Skyrme HFB calculations starts at a more neutron-rich nucleus than that of the RCHB calculations, and the RCHB calculations have larger neutron root-mean-square (rms) radii systematically in N ≥ 40 than those of the Skyrme HFB calculations. The former difference comes from difference in shell structure. The reasons for the latter can be partly explained by the neutron 3s1/2 orbit, which causes more than 50 % of the difference among the four calculations for neutron rms radii at 66 Ca .

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34

Brenier, Yann. "Non Relativistic Strings may be Approximated by Relativistic Strings." Methods and Applications of Analysis 12, no. 2 (2005): 153–68. http://dx.doi.org/10.4310/maa.2005.v12.n2.a5.

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35

Afanasjev, A. V. "Superdeformations in Relativistic and Non-Relativistic Mean Field Theories." Physica Scripta T88, no. 1 (2000): 10. http://dx.doi.org/10.1238/physica.topical.088a00010.

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36

ARAI, ASAO. "NON-RELATIVISTIC LIMIT OF A DIRAC–MAXWELL OPERATOR IN RELATIVISTIC QUANTUM ELECTRODYNAMICS." Reviews in Mathematical Physics 15, no. 03 (May 2003): 245–70. http://dx.doi.org/10.1142/s0129055x0300162x.

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The non-relativistic (scaling) limit of a particle-field Hamiltonian H, called a Dirac–Maxwell operator, in relativistic quantum electrodynamics is considered. It is proven that the non-relativistic limit of H yields a self-adjoint extension of the Pauli–Fierz Hamiltonian with spin 1/2 in non-relativistic quantum electrodynamics. This is done by establishing in an abstract framework a general limit theorem on a family of self-adjoint operators partially formed out of strongly anticommuting self-adjoint operators and then by applying it to H.

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37

Alba, David, Horace W. Crater, and Luca Lusanna. "On the relativistic micro-canonical ensemble and relativistic kinetic theory for N relativistic particles in inertial and non-inertial rest frames." International Journal of Geometric Methods in Modern Physics 12, no. 04 (April 2015): 1550049. http://dx.doi.org/10.1142/s0219887815500498.

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A new formulation of relativistic classical mechanics allows a reconsideration of old unsolved problems in relativistic kinetic theory and in relativistic statistical mechanics. In particular a definition of the relativistic micro-canonical partition function is given strictly in terms of the Poincaré generators of an interacting N-particle system both in the inertial and non-inertial rest frames. The non-relativistic limit allows a definition of both the inertial and non-inertial micro-canonical ensemble in terms of the Galilei generators.

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38

Kasza, Gábor, László P. Csernai, and Tamás Csörgő. "New, Spherical Solutions of Non-Relativistic, Dissipative Hydrodynamics." Entropy 24, no. 4 (April 6, 2022): 514. http://dx.doi.org/10.3390/e24040514.

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We present a new family of exact solutions of dissipative fireball hydrodynamics for arbitrary bulk and shear viscosities. The main property of these solutions is a spherically symmetric, Hubble flow field. The motivation of this paper is mostly academic: we apply non-relativistic kinematics for simplicity and clarity. In this limiting case, the theory is particularly clear: the non-relativistic Navier–Stokes equations describe the dissipation in a well-understood manner. From the asymptotic analysis of our new exact solutions of dissipative fireball hydrodynamics, we can draw a surprising conclusion: this new class of exact solutions of non-relativistic dissipative hydrodynamics is asymptotically perfect.

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39

LIU, SAN-QIU, and XIAO-CHANG CHEN. "Dispersion relation of transverse oscillation in relativistic plasmas with non-extensive distribution." Journal of Plasma Physics 77, no. 5 (February 15, 2011): 653–62. http://dx.doi.org/10.1017/s0022377811000043.

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AbstractThe generalized dispersion equation for superluminal transverse oscillation in an unmagnetized, collisionless, isotropic and relativistic plasma with non-extensive q-distribution is derived. The analytical dispersion relation is obtained in an ultra-relativistic regime, which is related to q-parameter and temperature. In the limit q → 1, the result based on the relativistic Maxwellian distribution is recovered. Using the numerical method, we obtain the full dispersion curve that cannot be given by an analytic method. It is shown that the numerical solution is in good agreement with the analytical result in the long-wavelength and short-wavelength region for ultra-relativistic plasmas.

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40

BALIKHIN, M., and M. GEDALIN. "Generalization of the Harris current sheet model for non-relativistic, relativistic and pair plasmas." Journal of Plasma Physics 74, no. 6 (December 2008): 749–63. http://dx.doi.org/10.1017/s002237780800723x.

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AbstractReconnection is believed to be responsible for plasma acceleration in a large number of space and astrophysical objects. Onset of reconnection is usually related to instabilities of current sheet equilibria. Analytical self-consistent models of an equilibrium current sheet (Harris equilibrium) are known for non-relativistic plasmas and some special cases of relativistic plasmas. We develop a description of generalized Harris equilibria in collisionless non-relativistic and relativistic plasmas. Possible shapes of the magnetic field are analyzed.

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41

Censor, Dan. "NON-RELATIVISTIC SCATTERING: PULSATING INTERFACES." Progress In Electromagnetics Research 54 (2005): 263–81. http://dx.doi.org/10.2528/pier05011801.

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42

Adam, Ido, Ilarion V. Melnikov, and Stefan Theisen. "A non-relativistic Weyl anomaly." Journal of High Energy Physics 2009, no. 09 (September 30, 2009): 130. http://dx.doi.org/10.1088/1126-6708/2009/09/130.

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43

Soto, J. "Overview of Non-Relativistic QCD." European Physical Journal A 31, no. 4 (March 2007): 705–10. http://dx.doi.org/10.1140/epja/i2006-10255-9.

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44

Margaryan, A., J. Vanasse, and R. P. Springer. "Non-relativistic Neutron Deuteron Scattering." EPJ Web of Conferences 113 (2016): 08012. http://dx.doi.org/10.1051/epjconf/201611308012.

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45

Moradpour, Hooman, and Afshin Montakhab. "Relativistic three-partite non-locality." International Journal of Quantum Information 14, no. 02 (March 2016): 1650008. http://dx.doi.org/10.1142/s0219749916500088.

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Bell-like inequalities have been used in order to distinguish non-local quantum pure states by various authors. The behavior of such inequalities under Lorentz transformation (LT) has been a source of debate and controversies in the past. In this paper, we consider the two most commonly studied three-particle pure states, that of W and Greenberger–Horne–Zeilinger (GHZ) states which exhibit distinctly different types of entanglement. We discuss the various types of three-particle inequalities used in previous studies and point to their corresponding shortcomings and strengths. Our main result is that if one uses Czachor’s relativistic spin operator and Svetlichny’s inequality as the main measure of non-locality and uses the same angles in the rest frame (S) as well as the moving frame ([Formula: see text]), then maximally violated inequality in S will decrease in the moving frame, and will eventually lead to lack of non-locality (i.e. satisfaction of inequality) in the [Formula: see text] limit. This is shown for both the GHZ and W states and in two different configurations which are commonly studied (Cases 1 and 2). Our results are in line with a more familiar case of two particle case. We also show that the satisfaction of Svetlichny’s inequality in the [Formula: see text] limit is independent of initial particles’ velocity. Our study shows that whenever we use Czachor’s relativistic spin operator, results draws a clear picture of three-particle non-locality making its general properties consistent with previous studies on two-particle systems regardless of the W state or the GHZ state is involved. Throughout the paper, we also address the results of using Pauli’s operator in investigating the behavior of [Formula: see text] under LT for both of the GHZ and W states and two cases (Cases 1 and 2). Our investigation shows that the violation of [Formula: see text] in moving frame depends on the particle’s energy in the lab frame, which is in agreement with some previous works on two and three-particle systems. Our work may also help us to classify the results of using Czachor’s and Pauli’s operators to describe the spin entanglement and thus the system spin in relativistic information theory.

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46

Jokela, Niko, Jarkko Järvelä, and Alfonso V. Ramallo. "Non-relativistic anyons from holography." Nuclear Physics B 916 (March 2017): 727–68. http://dx.doi.org/10.1016/j.nuclphysb.2017.01.014.

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47

Madrid, Rafael de la. "Localization of Non-Relativistic Particles." International Journal of Theoretical Physics 46, no. 8 (January 18, 2007): 1986–97. http://dx.doi.org/10.1007/s10773-006-9320-z.

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48

Kim, C. W., C. Giunti, and U. W. Lee. "Oscillations of non-relativistic neutrinos." Nuclear Physics B - Proceedings Supplements 28, no. 1 (July 1992): 172–75. http://dx.doi.org/10.1016/0920-5632(92)90167-q.

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49

Gamboa, Jorge, and Jorge Zanelli. "Supersymmetric non-relativistic quantum mechanics." Physics Letters B 165, no. 1-3 (December 1985): 91–93. http://dx.doi.org/10.1016/0370-2693(85)90697-5.

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50

Oller, J. A. "Unitarizing non-relativistic Coulomb scattering." Physics Letters B 835 (December 2022): 137568. http://dx.doi.org/10.1016/j.physletb.2022.137568.

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