Yet another position-dependent mass quantum model
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Publication:2865524
DOI10.1063/1.4732509zbMath1315.82025OpenAlexW2061564735MaRDI QIDQ2865524
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Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4732509
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of semiconductors (82D37) Statistical mechanics of solids (82D20)
Related Items (13)
Fisher information and Shannon entropy of position-dependent mass oscillators ⋮ A quantum quasi-harmonic nonlinear oscillator with an isotonic term ⋮ Generalized Korteweg-de Vries equation induced from position-dependent effective mass quantum models and mass-deformed soliton solution through inverse scattering transform ⋮ Torsion effects on a relativistic position-dependent mass system ⋮ On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field ⋮ Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator ⋮ Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach ⋮ The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ $\mathcal {CPT}$ CPT -conserved effective mass Hamiltonians through first and higher order charge operator $\mathcal {C}$C in a supersymmetric framework ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ An inclusive SUSY approach to position dependent mass systems
Cites Work
- Self-adjoint Hamiltonians with a mass jump: general matching conditions
- A study of resonances in a one-dimensional model with singular Hamiltonian and mass jumps
- Classical and quantum position-dependent mass harmonic oscillators
- A study of the bound states for square potential wells with position-dependent mass
- Surface states/modes in one-dimensional semi-infinite crystals
- A quasi-free position-dependent mass jump and self-scattering correspondence
- A new effective mass Hamiltonian and associated Lamé equation: bound states
- Position-dependent mass oscillators and coherent states
- A delta well with a mass jump
- Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry
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