THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.

Download Full-text

Aharonov–Bohm effect in a Coulomb-type potential under the influence of a cutoff point

International Journal of Modern Physics A ◽

10.1142/s0217751x21501360 ◽

2021 ◽

pp. 2150136

Author(s):

K. Bakke

Keyword(s):

Electric Fields ◽

Bound States ◽

Energy Levels ◽

Bound State ◽

Cutoff Point ◽

Coulomb Type ◽

Bohm Effect ◽

Forbidden Region ◽

Aharonov Bohm ◽

Type Potential

We analyze the influence of a cutoff point on a Coulomb-type potential that stems from the interaction of an electron with electric fields. This cutoff point establishes a forbidden region for the electron. Then, we search for bound state solutions to the Schrödinger equation. In addition, we consider a rotating reference frame. We show that the effects of rotation break the degeneracy of the energy levels. Further, we discuss the Aharonov–Bohm effect for bound states.

Download Full-text

Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields

Physical Review A ◽

10.1103/physreva.101.032102 ◽

2020 ◽

Vol 101 (3) ◽

Cited By ~ 3

Author(s):

S. L. R. Vieira ◽

K. Bakke

Keyword(s):

Quadrupole Moment ◽

Bound States ◽

Neutral Particle ◽

Magnetic Quadrupole ◽

Bohm Effect ◽

Aharonov Bohm

Download Full-text

Comment on “Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields”

Physical Review A ◽

10.1103/physreva.103.036201 ◽

2021 ◽

Vol 103 (3) ◽

Author(s):

Francisco M. Fernández

Keyword(s):

Quadrupole Moment ◽

Bound States ◽

Neutral Particle ◽

Magnetic Quadrupole ◽

Bohm Effect ◽

Aharonov Bohm

Download Full-text

Excitonic Aharonov-Bohm effect in a two-dimensional quantum ring

Physical Review B ◽

10.1103/physrevb.84.235103 ◽

2011 ◽

Vol 84 (23) ◽

Cited By ~ 29

Author(s):

C. González-Santander ◽

F. Domínguez-Adame ◽

R. A. Römer

Keyword(s):

Quantum Ring ◽

Two Dimensional ◽

Bohm Effect ◽

Aharonov Bohm

Download Full-text

SPECTRAL CORRELATIONS IN DISORDERED MESOSCOPIC METALS AND THEIR RELEVANCE FOR PERSISTENT CURRENTS

Modern Physics Letters B ◽

10.1142/s0217984996001577 ◽

1996 ◽

Vol 10 (28) ◽

pp. 1397-1406 ◽

Cited By ~ 1

Author(s):

AXEL VÖLKER ◽

PETER KOPIETZ

Keyword(s):

Energy Levels ◽

Three Dimensional ◽

Average Density ◽

Electron Interaction ◽

Energy Window ◽

Persistent Currents ◽

Dependent Part ◽

The Difference ◽

Aharonov Bohm ◽

Grand Canonical

We use the Lanczos method to calculate the variance σ2(E, ϕ) of the number of energy levels in an energy window of width E below the Fermi energy for noninteracting disordered electrons on a thin three-dimensional ring threaded by an Aharonov–Bohm flux ϕ. We confirm numerically that for small E the flux-dependent part of σ2(E, ϕ) is well described by the Altshuler–Shklovskii-diagram involving two Cooperons. However, in the absence of electron–electron interactions this result cannot be extrapolated to energies E where the energy-dependence of the average density of states becomes significant. We discuss consequences for persistent currents and argue that for the calculation of the difference between the canonical- and grand canonical current it is crucial to take the electron–electron interaction into account.

Download Full-text

Aharonov–Bohm effect in one-dimensional systems

Physics Letters A ◽

10.1016/s0375-9601(02)01044-7 ◽

2002 ◽

Vol 301 (5-6) ◽

pp. 446-450

Author(s):

Yu-Liang Liu

Keyword(s):

One Dimensional ◽

Bohm Effect ◽

Aharonov Bohm

Download Full-text

Non-Hermitian Aharonov-Bohm effect in the quantum ring

Physical Review B ◽

10.1103/physrevb.103.035415 ◽

2021 ◽

Vol 103 (3) ◽

Author(s):

Qingming Li ◽

Jian-Jun Liu ◽

Ying-Tao Zhang

Keyword(s):

Quantum Ring ◽

Bohm Effect ◽

Aharonov Bohm

Download Full-text

Impurity effect on the persistent current via Aharonov-Bohm effect in one-dimensional mesoscopic rings: Tight-binding model

Solid State Communications ◽

10.1016/0038-1098(96)00003-8 ◽

1996 ◽

Vol 98 (10) ◽

pp. 909-912 ◽

Cited By ~ 1

Author(s):

Shi-Dong Liang ◽

Z.D Wang ◽

Jian-Xin Zhu

Keyword(s):

Tight Binding ◽

Persistent Current ◽

Impurity Effect ◽

Tight Binding Model ◽

Binding Model ◽

One Dimensional ◽

Bohm Effect ◽

Aharonov Bohm

Download Full-text

Lorentz-force–induced asymmetry in the Aharonov-Bohm effect in a three-terminal semiconductor quantum ring

EPL (Europhysics Letters) ◽

10.1209/epl/i2005-10049-7 ◽

2005 ◽

Vol 70 (6) ◽

pp. 810-816 ◽

Cited By ~ 29

Author(s):

B Szafran ◽

F. M Peeters

Keyword(s):

Lorentz Force ◽

Quantum Ring ◽

Bohm Effect ◽

Aharonov Bohm

Download Full-text

Generalized KG-oscillator with a uniform magnetic ﬁeld under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm eﬀect

Canadian Journal of Physics ◽

10.1139/cjp-2020-0565 ◽

2021 ◽

Author(s):

Faizuddin Ahmed

Keyword(s):

Magnetic Field ◽

Cosmic String ◽

Uniform Magnetic Field ◽

Bound States ◽

Space Time ◽

Vector Potentials ◽

Klein Gordon ◽

Relativistic Analogue ◽

Bohm Effect ◽

Aharonov Bohm

We solve a generalized Klein-Gordon oscillator (KGO) in the presence of a uniform magnetic ﬁeld including quantum ﬂux under the effects of a scalar and vector potentials of Coulomb-types in the static cosmic string space-time. We obtain the energy and corresponding eigenfunctions, and analyze a relativistic analogue of the Aharonov-Bohm eﬀect for bound states.

Download Full-text