PDM Klein-Gordon oscillators in cosmic string spacetime in magnetic and Aharonov-Bohm flux fields within the Kaluza-Klein theory
DOI10.1016/J.AOP.2022.168857zbMath1495.83066arXiv2112.11333OpenAlexW4220883379MaRDI QIDQ2127468
Publication date: 20 April 2022
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.11333
\(\mathcal{PT}\)-symmetric PDMcosmic string spacetime backgroundsKaluza-Klein theory (KKT)Klein-Gordon (KG) oscillator. position-dependent mass (PDM) KG-particles
Black holes (83C57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Kaluza-Klein and other higher-dimensional theories (83E15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Related Items (9)
Cites Work
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- Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields
- Some remarks on loop variables, holonomy transformation, and gravitational Aharonov-Bohm effect
- \((1+1)\)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: Effectively \(\mathcal{PT}\)-symmetric
- Gravitational non-commutativity and Gödel-like spacetimes
- The Coulomb-harmonic oscillator correspondence in \(\mathcal {PT}\) symmetric quantum mechanics
- Exact solvability of potentials with spatially dependent effective masses
- Perturbation theory of odd anharmonic oscillators
- The generalized Klein-Gordon oscillator with Coulomb-type potential in (1+2)-dimensions Gürses space-time
- Quantum effects on Klein-Gordon oscillator under a Cornell-type potential in Kaluza-Klein theory
- PDM creation and annihilation operators of the harmonic oscillators and the emergence of an alternative PDM-Hamiltonian
- Torsion effects on a relativistic position-dependent mass system
- The Klein-Gordon oscillator in (1+2)-dimensions Gurses space-time backgrounds
- Landau levels in the presence of a cosmic string in rainbow gravity
- Scalar quantum particle in \((1+2)\)-dimensions Gurses space-time and the energy-momentum distributions
- Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
- An oscillator with position-dependent mass exposed to a thermal bosonic bath
- Landau levels in the presence of topological defects
- Comment on ‘Position-dependent effective mass Dirac equations withPT-symmetric and non-PT-symmetric potentials’
- Perfect fluid sources in 2+1 dimensions
- Equivalence of unstable anharmonic oscillators and double wells
- PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Harmonic oscillator interacting with conical singularities
- Classical treatment of particle with position-dependent mass m(r) = 1/(1 + r4) in 1D and 2D subjected to harmonic potential
- One-Electron Atom in Curved Space-Time
- A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators
- On a unique nonlinear oscillator
- Comment on ‘Two-dimensional position-dependent massive particles in the presence of magnetic fields’
- Position-dependent mass Lagrangians: nonlocal transformations, Euler–Lagrange invariance and exact solvability
- The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space
- Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0
- Generalized nonlinear oscillators with quasi-harmonic behaviour: Classical solutions
- Cosmic strings and domain walls
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