Coherent states of position-dependent mass oscillator

DOI10.1007/s10773-016-2985-zzbMath1361.81066OpenAlexW2308904152MaRDI QIDQ518767

Huaping Wang, Ali Mahdifar, Shahram Dehdashti

Publication date: 30 March 2017

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-016-2985-z

zbMATH Keywords

Fubini-study metricdisplacement-type \(\Lambda\)-dependent coherent statesGazeau-Klauder \(\Lambda\)-dependent coherent stateMandel's Q parameter

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Unnamed Item
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• Coherent states and applications in mathematical physics.
• Classical and quantum position-dependent mass harmonic oscillators
• One-dimensional model of a quantum nonlinear harmonic oscillator
• Exact solutions of the Schrödinger equation with position-dependent mass for some Hermitian and non-Hermitian potentials
• Quantum particles trapped in a position-dependent mass barrier; a \(d\)-dimensional recipe
• Exact solvability of potentials with spatially dependent effective masses
• \(\mathcal P\mathcal T\)-symmetric harmonic oscillators
• The quantum harmonic oscillator on the sphere and the hyperbolic plane
• A nonlinear deformation of the isotonic oscillator and the Smorodinski-Winternitz system: integrability and superintegrability
• Approximate series solutions of the \(N\)-dimensional position-dependent mass Schrödinger equation
• Decoherence of spin-deformed bosonic model
• Effective mass Schrödinger equation and nonlinear algebras
• COHERENT STATE OF α-DEFORMED WEYL–HEISENBERG ALGEBRA
• Decoherence, einselection, and the quantum origins of the classical
• Degenerate discrete energy spectra and associated coherent states
• High-precision calculation of the eigenvalues for the x²+λx²/(1+gx²) potential
• Spatial confinement effects on a quantum harmonic oscillator: nonlinear coherent state approach
• Exact analytical eigenfunctions for the x²+ λ x²/(1+gx²) interaction
• Eigenenergies of the r²+ lambda r²/(1+gr²) and 1/2(r²)-or+gr⁴/(1+g alpha r²) potentials obtained by the hypervirial method
• Coherent states for systems with discrete and continuous spectrum
• An exactly soluble Schrödinger equation with smooth position-dependent mass
• Coherent states for the hydrogen atom
• A Lie algebraic approach to effective mass Schrödinger equations
• An accurate method for numerical calculations in quantum mechanics
• Multidimensional generalized coherent states
• General sets of coherent states and the Jaynes$ndash$Cummings model
• A new class of quasi-exactly solvable potentials with a position-dependent mass
• A systematic study on the exact solution of the position dependent mass Schr dinger equation
• Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms
• The Kepler problem in Dirac theory for a particle with position-dependent mass
• On a unique nonlinear oscillator
• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2
• Harmonic oscillator well with a screened Coulombic core is quasi-exactly solvable
• -symmetric cubic anharmonic oscillator as a physical model
• Continuous-Representation Theory. I. Postulates of Continuous-Representation Theory
• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
• Geometry of Quantum States
• Construction of photon-added spin coherent states and their statistical properties
• The Structure of Electronic Excitation Levels in Insulating Crystals

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