Littérature scientifique sur le sujet « Δ-shell interactions »
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Articles de revues sur le sujet "Δ-shell interactions"
Gainsford, Graeme J., et Mark E. Bowden. « Propylamine–borane ». Acta Crystallographica Section E Structure Reports Online 65, no 6 (23 mai 2009) : o1395. http://dx.doi.org/10.1107/s160053680901887x.
Texte intégralBehrndt, Jussi, Pavel Exner, Markus Holzmann et Vladimir Lotoreichik. « On the spectral properties of Dirac operators with electrostatic δ -shell interactions ». Journal de Mathématiques Pures et Appliquées 111 (mars 2018) : 47–78. http://dx.doi.org/10.1016/j.matpur.2017.07.018.
Texte intégralBehrndt, Jussi, Markus Holzmann, Andrea Mantile et Andrea Posilicano. « Limiting absorption principle and scattering matrix for Dirac operators with δ-shell interactions ». Journal of Mathematical Physics 61, no 3 (1 mars 2020) : 033504. http://dx.doi.org/10.1063/1.5123289.
Texte intégralHassan, Ahlam Hussein, et Muhsen Abood Muhsen Al-Ibadi. « Study the Chemical Bonding of Heterometallic Trinuclear Cluster Containing Cobalt and Ruthenium : [(Cp*Co) (CpRu)2 (μ3-H) (μ-H)3] using QTAIM Approach ». Baghdad Science Journal 20, no 3(Suppl.) (20 juin 2023) : 1078. http://dx.doi.org/10.21123/bsj.2023.7937.
Texte intégralTzeng, Y., T. T. S. Kuo et T.-S. H. Lee. « The effect of the Δ excitation on the nucleon–nucleon effective interactions in the nuclear shell-model ». Physica Scripta 53, no 3 (1 mars 1996) : 300–305. http://dx.doi.org/10.1088/0031-8949/53/3/004.
Texte intégralBehrndt, Jussi, Pavel Exner, Markus Holzmann et Vladimir Lotoreichik. « On Dirac operators in $$\mathbb {R}^3$$ R 3 with electrostatic and Lorentz scalar $$\delta $$ δ -shell interactions ». Quantum Studies : Mathematics and Foundations 6, no 3 (2 mars 2019) : 295–314. http://dx.doi.org/10.1007/s40509-019-00186-6.
Texte intégralMODARRES, M., N. RASEKHINEJAD et H. MARIJI. « THE DENSITY-DEPENDENT Av18 EFFECTIVE INTERACTION AND GROUND STATE OF CLOSED SHELL NUCLEI ». International Journal of Modern Physics E 20, no 03 (mars 2011) : 679–703. http://dx.doi.org/10.1142/s0218301311018162.
Texte intégralPazur, Richard J., D. Lee, F. J. Walker et Maxim Kasai. « LOW FIELD 1H NMR INVESTIGATION OF PLASTICIZER AND FILLER EFFECTS IN EPDM ». Rubber Chemistry and Technology 85, no 2 (1 juin 2012) : 295–312. http://dx.doi.org/10.5254/rct.12.88944.
Texte intégralNissen, P. E., J. S. Silva-Cabrera et W. J. Schuster. « G 112-43/44 : A metal-poor binary star with a unique chemical composition and Helmi stream kinematics ». Astronomy & ; Astrophysics 651 (juillet 2021) : A57. http://dx.doi.org/10.1051/0004-6361/202140826.
Texte intégralExner, P. « Dirac Operators with a δ-Shell Interaction ». Physics of Particles and Nuclei 51, no 4 (juillet 2020) : 405–9. http://dx.doi.org/10.1134/s1063779620040255.
Texte intégralThèses sur le sujet "Δ-shell interactions"
Zreik, Mahdi. « Spectral properties of Dirac operators on certain domains ». Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0085.
Texte intégralThis thesis mainly focused on the spectral analysis of perturbation models of the free Dirac operator, in 2-D and 3-D space.The first chapter of this thesis examines perturbation of the Dirac operator by a large mass M, supported on a domain. Our main objective is to establish, under the condition of sufficiently large mass M, the convergence of the perturbed operator, towards the Dirac operator with the MIT bag condition, in the norm resolvent sense. To this end, we introduce what we refer to the Poincaré-Steklov (PS) operators (as an analogue of the Dirichlet-to-Neumann operators for the Laplace operator) and analyze them from the microlocal point of view, in order to understand precisely the convergence rate of the resolvent. On one hand, we show that the PS operators fit into the framework of pseudodifferential operators and we determine their principal symbols. On the other hand, since we are mainly concerned with large masses, we treat our problem from the semiclassical point of view, where the semiclassical parameter is h = M^{-1}. Finally, by establishing a Krein formula relating the resolvent of the perturbed operator to that of the MIT bag operator, and using the pseudodifferential properties of the PS operators combined with the matrix structures of the principal symbols, we establish the required convergence with a convergence rate of mathcal{O}(M^{-1}).In the second chapter, we define a tubular neighborhood of the boundary of a given regular domain. We consider perturbation of the free Dirac operator by a large mass M, within this neighborhood of thickness varepsilon:=M^{-1}. Our primary objective is to study the convergence of the perturbed Dirac operator when M tends to +infty. Comparing with the first part, we get here two MIT bag limit operators, which act outside the boundary. It's worth noting that the decoupling of these two MIT bag operators can be considered as the confining version of the Lorentz scalar delta interaction of Dirac operator, supported on a closed surface. The methodology followed, as in the previous problem study the pseudodifferential properties of Poincaré-Steklov operators. However, the novelty in this problem lies in the control of these operators by tracking the dependence on the parameter varepsilon, and consequently, in the convergence as varepsilon goes to 0 and M goes to +infty. With these ingredients, we prove that the perturbed operator converges in the norm resolvent sense to the Dirac operator coupled with Lorentz scalar delta-shell interaction.In the third chapter, we investigate the generalization of an approximation of the three-dimensional Dirac operator coupled with a singular combination of electrostatic and Lorentz scalar delta-interactions supported on a closed surface, by a Dirac operator with a regular potential localized in a thin layer containing the surface. In the non-critical and non-confining cases, we show that the regular perturbed Dirac operator converges in the strong resolvent sense to the singular delta-interaction of the Dirac operator. Moreover, we deduce that the coupling constants of the limit operator depend nonlinearly on those of the potential under consideration.In the last chapter, our study focuses on the two-dimensional Dirac operator coupled with the electrostatic and Lorentz scalar delta-interactions. We treat in low regularity Sobolev spaces (H^{1/2}) the self-adjointness of certain realizations of these operators in various curve settings. The most important case in this chapter arises when the curves under consideration are curvilinear polygons, with smooth, differentiable edges and without cusps. Under certain conditions on the coupling constants, using the Fredholm property of certain boundary integral operators, and exploiting the explicit form of the Cauchy transform on non-smooth curves, we achieve the self-adjointness of the perturbed operator