Effects of rotation and Coulomb type potential on the spin-1/2
Aharonov-Bohm problem
- URL: http://arxiv.org/abs/2112.13452v1
- Date: Sun, 26 Dec 2021 21:45:25 GMT
- Title: Effects of rotation and Coulomb type potential on the spin-1/2
Aharonov-Bohm problem
- Authors: M\'arcio M. Cunha, Fabiano M. Andrade, Edilberto O. Silva
- Abstract summary: We investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin-$1/2$ particle in the presence of the Aharonov-Bohm effect.
We discuss the role of the spin degree of freedom on this problem, find the energy spectrum, and investigate the results in detail.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this work, we investigate how both rotation and a Coulomb potential affect
the quantum mechanical description of a spin-$1/2$ particle in the presence of
the Aharonov-Bohm effect. We employ the method of the self-adjoint extensions
in the framework of the Pauli-Schr\"odinger equation. We discuss the role of
the spin degree of freedom on this problem, find the energy spectrum, and
investigate the results in detail.
Related papers
- The quantum Hall effect under the influence of gravity and inertia: A
unified approach [44.99833362998488]
We examine how both the integer and the fractional quantum Hall effects behave under a combined influence of gravity and inertia.
The general Hamiltonian for describing the combined effect of gravity, rotation and inertia on the electrons of a Hall sample is then built and the eigenstates are obtained.
arXiv Detail & Related papers (2024-03-11T18:01:55Z) - Optical and electronic properties of a two-dimensional quantum ring
under rotating effects [1.6439662732340548]
This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame.
We derive the equation of motion and the corresponding radial equation to describe the system.
arXiv Detail & Related papers (2023-05-25T19:49:17Z) - Rotational and inverse square potential effects on harmonic oscillator
confined by flux field in a space-time with screw dislocation [0.0]
We study the interplay of non-inertial effects induced by a rotating frame and confinement by the Aharonov-Bohm flux field.
In both scenarios, a significant observation is made: the quantum flux field's existence brings about a shift in the energy spectrum.
arXiv Detail & Related papers (2023-03-02T06:51:13Z) - Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall.
We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z) - Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global
Monopole Space-Time with External Potential and AB-effect [0.0]
We show that the obtained energy eigenvalues depend on the magnetic quantum flux which gives rise to the gravitational analog of the Aharonov-Bohm (AB) effect.
arXiv Detail & Related papers (2022-02-28T08:52:09Z) - Spin-1/2 particles under the influence of a uniform magnetic field in
the interior Schwarzschild solution [62.997667081978825]
relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained.
Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
arXiv Detail & Related papers (2021-11-30T14:46:00Z) - Dispersive readout of molecular spin qudits [68.8204255655161]
We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states.
We derive an expression for the output modes in the dispersive regime of operation.
We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
arXiv Detail & Related papers (2021-09-29T18:00:09Z) - Interaction of the magnetic quadrupole moment of a non-relativistic
particle with an electric field in the background of screw dislocations with
a rotating frame [0.0]
We consider a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation.
We derive wave and energy eigenvalue functions by employing analytical methods for two interaction configurations.
Due to the topological defect in the medium, we observed a shift in the angular momentum quantum number which affects the energy eigenvalues and the wave function of the system.
arXiv Detail & Related papers (2021-06-08T20:20:30Z) - Enhanced decoherence for a neutral particle sliding on a metallic
surface in vacuum [68.8204255655161]
We show that non-contact friction enhances the decoherence of the moving atom.
We suggest that measuring decoherence times through velocity dependence of coherences could indirectly demonstrate the existence of quantum friction.
arXiv Detail & Related papers (2020-11-06T17:34:35Z) - Scattering Amplitude Together with Thermodynamic Properties in the
Poschl-Teller Double Ring-Shaped Coulomb Potential [0.0]
We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K.
The relativistic scattering amplitude for spin 1/2 particles in the field of this potential has been studied.
arXiv Detail & Related papers (2020-09-05T14:11:31Z) - Spin current generation and control in carbon nanotubes by combining
rotation and magnetic field [78.72753218464803]
We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field.
By suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator.
arXiv Detail & Related papers (2020-01-20T08:54:56Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.