scholarly journals Noninertial Effects on a Dirac Neutral Particle Inducing an Analogue of the Landau Quantization in the Cosmic String Spacetime

2012 ◽  
Vol 42 (5-6) ◽  
pp. 437-444 ◽  
Author(s):  
Knut Bakke
Keyword(s):  
Cosmic String ◽  
Neutral Particle ◽  
Noninertial Effects

Klein–Gordon oscillator in the presence of a Cornell potential in the cosmic string space-time

2019 ◽  
Vol 16 (04) ◽  
pp. 1950054 ◽  
Author(s):  
M. Hosseini ◽  
H. Hassanabadi ◽  
S. Hassanabadi ◽  
P. Sedaghatnia
Keyword(s):  
Cosmic String ◽  
Bound States ◽  
Gordon Equation ◽  
Space Time ◽  
Cornell Potential ◽  
Noninertial Effects ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, we find solutions for the Klein–Gordon equation in the presence of a Cornell potential under the influence of noninertial effects in the cosmic string space-time. Then, we study Klein–Gordon oscillator in the cosmic string space-time. In addition, we show that the presence of a Cornell potential causes the forming bound states for the Klein–Gordon equation in this kind of background.

A comment on the analogous confinement of a neutral particle to a quantum dot via noninertial effects

Open Physics ◽  
2012 ◽  
Vol 10 (5) ◽  
Author(s):  
Knut Bakke
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Neutral Particle ◽  
Nonrelativistic Limit ◽  
Hard Wall ◽  
External Fields ◽  
Confining Potential ◽  
Permanent Electric Dipole Moment ◽  
Noninertial Effects

AbstractIn this contribution, we discuss the nonrelativistic limit of the Dirac equation for a neutral particle with a permanent electric dipole moment interacting with external fields in a noninertial frame. We show a case where the geometry of the manifold can play the role of a hard-wall confining potential due to noninertial effects, and can yield bound states analogous to a confinement of the spin-half neutral particle interacting with external fields to a quantum dot described by a hard-wall confining potential [33].

Relativistic scalar Aharonov–Bohm effect for a neutral particle under Lorentz symmetry breaking effects in the cosmic string space–time

2019 ◽  
Vol 34 (21) ◽  
pp. 1950116
Author(s):  
K. Bakke ◽  
H. Belich
Keyword(s):  
Cosmic String ◽  
Neutral Particle ◽  
Relativistic Quantum ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Maxwell Theory ◽  
Symmetry Violation ◽  
Quantum Phases ◽  
Bohm Effect ◽  
Aharonov Bohm

We search for relativistic quantum phases for a Dirac neutral particle with a permanent magnetic dipole moment in the cosmic string space–time under the effects of the violation of the Lorentz symmetry. This general relativity background is built based on the modified Maxwell theory coupled to gravity. Hence, we analyze analogues of the scalar Aharonov–Bohm effect for neutral particles in two different scenarios of the Lorentz symmetry violation in the cosmic string space–time.

scholarly journals Scattering and Bound States of a Spin-1/2 Neutral Particle in the Cosmic String Spacetime

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Fabiano M. Andrade ◽  
Cleverson Filgueiras ◽  
Edilberto O. Silva
Keyword(s):  
Cosmic String ◽  
Quantum Dynamics ◽  
Bound States ◽  
Neutral Particle ◽  
Scattering Amplitude ◽  
Relativistic Quantum ◽  
Scattering Problem ◽  
Delta Function ◽  
Point Interaction ◽  
Dirac Delta

In this paper the relativistic quantum dynamics of a spin-1/2 neutral particle with a magnetic moment μ in the cosmic string spacetime is reexamined by applying the von Neumann theory of self-adjoint extensions. Contrary to previous studies where the interaction between the spin and the line of charge is neglected, here we consider its effects. This interaction gives rise to a point interaction: ∇·E=(2λ/α)δ(r)/r. Due to the presence of the Dirac delta function, by applying an appropriated boundary condition provided by the theory of self-adjoint extensions, irregular solutions for the Hamiltonian are allowed. We address the scattering problem obtaining the phase shift, S-matrix, and the scattering amplitude. The scattering amplitude obtained shows a dependency with energy which stems from the fact that the helicity is not conserved in this system. Examining the poles of the S-matrix we obtain an expression for the bound states. The presence of bound states for this system has not been discussed before in the literature.

On noninertial effects inducing a confinement of a neutral particle to a hard-wall confining potential

Open Physics ◽  
2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Knut Bakke
Keyword(s):  
Bound States ◽  
Magnetic Dipole Moment ◽  
Neutral Particle ◽  
Energy Levels ◽  
Bound State ◽  
Field Configuration ◽  
Hard Wall ◽  
Confining Potential ◽  
Noninertial Effects

AbstractIn this contribution, we discuss the confinement of a nonrelativistic spin-half neutral particle to a hard-wall confining potential induced by noninertial effects. We show that the geometry of the manifold plays the role of a hard-wall confining potential and yields bound state solutions. We also consider a neutral particle with a permanent magnetic dipole moment interacting with a field configuration induced by noninertial effects, and discuss the behaviour of the induced fields and obtain energy levels for bound states.

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