On Aharonov–Casher scattering in a CPT-odd Lorentz-violating background

Andrade, Fabiano M.; Silva, E O; Prudencio, Thiago; Filgueiras, Cleverson

doi:10.1088/0954-3899/40/7/075007

Cited by 18 publications

(12 citation statements)

References 92 publications

(111 reference statements)

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“…[28,29] (see also Refs. [45,52]), from the regularization of the δ interaction, it is possible to find such a relationship. Using the regularization method, one obtains the following equation for the bound state energy:…”

Section: The Bound State Energy and Wave Functionmentioning

confidence: 99%

Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background

Andrade

Silva

2014

Eur. Phys. J. C

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In this work the dynamics of a 2D Dirac oscillator in the spacetime of a magnetic cosmic string is considered. It is shown that earlier approaches to this problem have neglected a δ function contribution to the full Hamiltonian, which comes from the Zeeman interaction. The inclusion of spin effects leads to results which confirm a modified dynamics. Based on the self-adjoint extension method, we determined the most relevant physical quantities, such as energy spectrum, wave functions and the self-adjoint extension parameter by applying boundary conditions allowed by the system.

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Section: The Bound State Energy and Wave Functionmentioning

confidence: 99%

Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background

Andrade

Silva

2014

Eur. Phys. J. C

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“…; 2 (26) We see that the scale dimensions for wave functions in these two cases differ exactly by ½ degree. This fact has important influence on physical picture -the additional solutions behave like…”

Section: On the Existence Of Additional Solutionsmentioning

confidence: 80%

“…Two dimensional Dirac equation for studding existence of additional states (hydrino) and for self-adjoint extension procedure was considered in many papers [3,4,26,27]. Below we'll proceed to the work of Dombey [4].…”

Section: Appendix A: Spin Effects and Nonexistence Of ''Hydrino'' Statesmentioning

confidence: 99%

Dirac’s reduced radial equations and the problem of additional solutions

Khelashvili

Nadareishvili

2017

Int. J. Mod. Phys. E

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We show that additional solutions must be ignored (in differences of the Schrodinger and Klein-Gordon equations) in the Dirac equation, where usually passed the second order radial equation, called the reduced equation, instead of a system. Analogously to the Schrodinger equation, in this process the Dirac's delta function appears, which was unnoted during the full history of quantum mechanics. This unphysical term we remove by a boundary condition at the origin. However, the distribution theory imposes on the radial function strong restriction and by this reason practically for all potentials, even regular, use of these reduced equations is not permissible. At the end we include consideration in the framework of two-dimensional Dirac equation. We show that even here the additional solution does not survives as a result of usual physical requirements.

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“…As mentioned above, if |J ± | < 1, we have only the situation when the operator h ± is not self-adjoint. In this case, a contribution of the irregular solution to f ± (r) at the origin [61,[74][75][76][77][78][79] turns up. In other words, the contribution of the irregular solution for the system wave function stems from the fact that the operator h ± is not self-adjoint.…”

Section: The Energy Spectrummentioning

confidence: 97%

Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime

Cunha

Silva

2020

Universe

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In this work, we study the relativistic quantum motion of an electron in the presence of external magnetic fields in the spinning cosmic string spacetime. The approach takes into account the terms that explicitly depend on the particle spin in the Dirac equation. The inclusion of the spin element in the solution of the problem reveals that the energy spectrum is modified. We determine the energies and wave functions using the self-adjoint extension method. The technique used is based on boundary conditions allowed by the system. We investigate the profiles of the energies found. We also investigate some particular cases for the energies and compare them with the results in the literature.

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On Aharonov–Casher scattering in a CPT-odd Lorentz-violating background

Cited by 18 publications

References 92 publications

Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background

Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background

Dirac’s reduced radial equations and the problem of additional solutions

Self-Adjoint Extension Approach to Motion of Spin-1/2 Particle in the Presence of External Magnetic Fields in the Spinning Cosmic String Spacetime

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