On the Klein-Gordon oscillator subject to a Coulomb-type potential

Abstract

By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein-Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system is shown.

11 pages, no figure

References in corpus (22)

• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential
• Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• Exact Solutions of the Klein-Gordon Equation in the Presence of a Dyon, Magnetic Flux and Scalar Potential in the Specetime of Gravitational Defects
• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• Chirality Quantum Phase Transition in the Dirac oscillator
• Exact solution of the two-dimensional Dirac oscillator
• The Dirac Oscillator. A relativistic version of the Jaynes--Cummings model
• Dirac Cat States in Relativistic Landau Levels
• Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials
• Ground State Energy of Massive Scalar Field in the Background of Finite Thickness Cosmic String
• Klein-Gordon particles in mixed vector-scalar inversely linear potentials
• Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
• Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field
• Threading dislocation densities in semiconductor crystals: a geometric approach
• Noninertial effects on the ground state energy of a massive scalar field in the cosmic string spacetime
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects

Cited by in corpus (48)

• Klein-Gordon Oscillator in Kaluza-Klein Theory
• Relativistic quantum motion of spin-0 particles under the influence of non-inertial effects in the cosmic string space-time
• Relativistic quantum oscillators in the global monopole spacetime
• On a relativistic scalar particle subject to the Klein-Gordon oscillator, the Coulomb potential and a linear scalar potential
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
• A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
• Exact Solutions of the 2D Dunkl--Klein--Gordon Equation: The Coulomb Potential and the Klein--Gordon Oscillator
• Torsion effects on a relativistic position-dependent mass system
• The generalized Klein-Gordon oscillator in a Cosmic Space-Time with a Space-Like Dislocation and the Aharonov-Bohm Effect
• Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame
• A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Landau levels for the $(2+1)$ Dunkl-Klein-Gordon oscillator
• On an atom with a magnetic quadrupole moment subject to harmonic and linear confining potentials
• Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow
• Klein-Gordon oscillator in a topologically nontrivial space-time
• Relativistic quantum dynamics of spin-0 massive charged particle in the presence of external fields in 4D curved space-time with a cosmic string
• Klein-Gordon Oscillator with Scalar and Vector Potentials in Topologically Charged Ellis-Bronnikov type Wormhole
• On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
• Scalar bosons with Coulomb potentials in a cosmic string background: Scattering and bound states
• Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
• Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation
• The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
• On the position dependent effective mass Hamiltonian
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. Part 1: Klein-Gordon oscillator
• Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality
• An ubiquitous three-term recurrence relation
• Thermodynamics Quantities for the Klein-Gordon Equation with a Linear plus Inverse-linear Potential: Biconfluent Heun functions
• 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 space-time
• New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
• Remarks on thermodynamic properties of a double ring-shaped quantum dot at low and high temperatures
• Generalized KG-oscillator with a uniform magnetic field under the influence of Coulomb-type potentials in cosmic string space-time and Aharonov-Bohm effect
• Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time
• Schrödinger oscillators in a deformed point-like global monopole spacetime and a Wu-Yang magnetic monopole: position-dependent mass correspondence and isospectrality
• Dynamics of free time-dependent effective mass
• Bound state solutions of the Klein Gordon equation with energy-dependent potentials
• Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
• KG-oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field
• Comment on "Effects of cosmic-string framework on the thermodynamical properties of anharmonic oscillator using the ordinary statistics and the q-deformed superstatistics approaches"
• KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects
• Gross misinterpretation of a conditionally solvable eigenvalue equation
• Comment on "Dirac fermions in Som-Raychaudhuri space-time with scalar and vector potential and the energy momentum distributions"
• A most misunderstood conditionally-solvable quantum-mechanical model
• Investigation of spin-$0$ massive charged particle subject to a homogeneous magnetic field with potentials in a topologically trivial flat class of Gödel-type space-time