Algebraic solutions of shape-invariant position-dependent effective mass systems
From MaRDI portal
Publication:3178306
DOI10.1063/1.4954283zbMath1342.82145arXiv1606.08125OpenAlexW2469319032MaRDI QIDQ3178306
Publication date: 11 July 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.08125
Statistical mechanics of crystals (82D25) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of semiconductors (82D37) Supersymmetry and quantum mechanics (81Q60) Operator algebra methods applied to problems in quantum theory (81R15) Quantum dots, waveguides, ratchets, etc. (81Q37)
Related Items
Exact solution and coherent states of an asymmetric oscillator with position-dependent mass, Properties of quasi-oscillator in position-dependent mass formalism, Coordinate representation for non-Hermitian position and momentum operators, On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field, Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals, 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, Coherent states of position-dependent mass trapped in an infinite square well, κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass, A position-dependent mass harmonic oscillator and deformed space, Position-Dependent Mass Systems: Classical and Quantum Pictures, Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass, Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamical breaking of supersymmetry
- Lie algebras of differential operators and Lie-algebraic potentials
- Space-time dynamics of Gazeau-Klauder coherent states in power-law potentials
- \(SU(1,1)\) coherent states for position-dependent mass singular oscillators
- One-dimensional model of a quantum nonlinear harmonic oscillator
- A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour
- Point canonical transformation versus deformed shape invariance for position-dependent mass Schrödinger equations
- Comment on ``Generalized Heisenberg algebra coherent states for power-law potentials
- Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential
- Exact solutions of the Schrödinger equation with position-dependent effective mass via general point canonical transformation
- New 'coherent' states associated with non-compact groups
- Barut—Girardello Coherent States for Nonlinear Oscillator with Position-Dependent Mass
- Generalized coherent states and their statistical characteristics in power-law potentials
- Coherent states for the nonlinear harmonic oscillator
- Effect of position-dependent mass on dynamical breaking of type B and typeX2$\mathcal {N}$-fold supersymmetry
- Comment on “Coherent states for the nonlinear harmonic oscillator” [J. Math. Phys. 53, 062104 (2012)]
- Position-dependent mass oscillators and coherent states
- A search for shape-invariant solvable potentials
- An exactly soluble Schrödinger equation with smooth position-dependent mass
- PATH INTEGRAL SOLUTION OF NONCENTRAL POTENTIAL
- A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators
- Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics
- Exact Solutions of Schrödinger Equation for the Position-Dependent Effective Mass Harmonic Oscillator
- A generalized quantum nonlinear oscillator
- Coherent states for nonlinear harmonic oscillator and some of its properties
- Generalized Coherent States for Position-Dependent Effective Mass Systems
- Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry
- SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
- EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS
- d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
- The Structure of Electronic Excitation Levels in Insulating Crystals
- Electrons in Perturbed Periodic Lattices
- The Factorization Method
