Aharonov-Bohm effect for bound states on the confinement of a relativistic scalar particle to a Coulomb-type potential in Kaluza-Klein theory

DOI10.1155/2015/925846zbMath1375.83053OpenAlexW2269063622WikidataQ59101970 ScholiaQ59101970MaRDI QIDQ1683496

E. V. B. Leite, H. Belich, Knut Bakke

Publication date: 1 December 2017

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/925846

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Kaluza-Klein and other higher-dimensional theories (83E15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (12)

Torsion effects on a relativistic position-dependent mass system ⋮ Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a space-like dislocation and Aharonov-Bohm effect ⋮ Feshbach-Villars oscillator in Kaluza-Klein theory ⋮ Klein–Gordon oscillator with magnetic and quantum flux fields in non-trivial topological space-time ⋮ Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation ⋮ Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time ⋮ Effects of rotation on a scalar field in a Kaluza–Klein theory ⋮ Lorentz-violating extension of the spin-one Duffin–Kemmer–Petiau equation ⋮ Spin-0 scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in 5D cosmic string spacetime ⋮ Quantum influence of magnetic flux on spin-0 scalar charged particles in the presence of external field in a spinning cosmic string space-time ⋮ Analogue of Aharonov-Bohm effect in the presence of a magnetic field under the influence of Coulomb-type potentials in topological defect space-time ⋮ Quantum effects on Klein-Gordon oscillator under a Cornell-type potential in Kaluza-Klein theory

Cites Work

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• Nonrelativistic molecular models under external magnetic and AB flux fields
• On the Klein-Gordon oscillator subject to a Coulomb-type potential
• Quantum ring in a rotating frame in the presence of a topological defect
• An angular frequency dependence on the Aharonov-Casher geometric phase
• Exact solutions of the mass-dependent Klein-Gordon equation with the vector quark-antiquark interaction and harmonic oscillator potential
• CP-violation in Kaluza-Klein and Randall-Sundrum theories
• A Kaluza-Klein description of geometric phases in graphene
• On the confinement of a Dirac particle to a two-dimensional ring
• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential
• Exactly solvable potentials for the Schrödinger equation with spatially dependent mass
• On the Coulomb-type potential of the one-dimensional Schrödinger equation
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Geometric phases modified by a Lorentz-symmetry violation background
• Dirac field in the five-dimensional Kaluza-Klein theory
• Significance of Electromagnetic Potentials in the Quantum Theory
• Algebraic approach to the Kratzer potential
• On Kaluza-Klein theory with torsion
• 1D Schrödinger equations with Coulomb-type potentials
• Non-relativistic quantum systems on topological defects spacetimes
• Generalized uncertainty principle and the asymmetrical spinless Salpeter Coulomb problem
• Kaluza - Klein and Gauss - Bonnet cosmic strings
• Oscillator Representation in Quantum Physics
• UNDERSTANDING LORENTZ VIOLATION WITH RASHBA INTERACTION
• Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field

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