Schrödinger oscillators in a deformed point-like global monopole spacetime and a Wu-Yang magnetic monopole: position-dependent mass correspondence and isospectrality
arXiv:2308.10176 · doi:10.1016/j.aop.2023.169550
Abstract
We show that a specific transformation/deformation in a point-like global monopole (PGM) spacetime background would yield an effective position-dependent mass (PDM) Schrödinger equation (i.e., a von Roos PDM Schrödinger equation). We discuss PDM Schrödinger oscillators in a PGM spacetime in the presence of a Wu-Yang magnetic monopole. Within our transformed/deformed global monopole spacetime, we show that all PDM Schrödinger oscillators admit isospectrality and invariance with the constant mass Schrödinger oscillators in the regular global monopole spacetime in the presence of a Wu-Yang magnetic monopole. The exclusive dependence of the thermodynamical partition function on the energy eigenvalues manifestly suggests that the Schrödinger oscillators and the PDM Schrödinger oscillators share the same thermodynamical properties as mandated by their isospectrality. Moreover, we discuss the hard-wall effect on the energy levels of the PDM Schrödinger oscillators in a PGM spacetime without and with a Wu-Yang magnetic monopole. Drastic energy levels' shift-ups are observed as a consequence of such hard-wall effect.
arXiv comment15 pages, 6 Figures
References in corpus (22)
- Non-relativistic quantum systems on topological defects space-times
- On the Klein-Gordon oscillator subject to a Coulomb-type potential
- Klein-Gordon Oscillator in Kaluza-Klein Theory
- 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
- Relativistic quantum oscillators in the global monopole spacetime
- Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
- Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
- Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensions
- Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
- Scattering in abrupt heterostructures using a position dependent mass Hamiltonian
- Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
- Noninertial effects on the quantum dynamics of scalar bosons
- A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
- PDM creation and annihilation operators of the harmonic oscillators and the emergence of an alternative PDM-Hamiltonian
- PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
- Gravitating Magnetic Monopole in the Global Monopole Spacetime
- PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
- A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
- Vacuum Polarization Effects in the Global Monopole Spacetime in the Presence of Wu-Yang Magnetic Monopole
- Confined Klein-Gordon oscillators in Minkowski spacetime and a pseudo-Minkowski spacetime with a space-like dislocation: PDM KG-oscillators, isospectrality and invariance
- PDM Klein-Gordon particles in Gödel-type Som-Raychaudhuri cosmic string spacetime background
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- On the Klein-Gordon oscillators in Eddington-inspired Born-Infeld gravity global monopole spacetime and a Wu-Yang magnetic monopole
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- KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects
- Cornell and Coulomb potentials in the double defect spacetime