DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS
From MaRDI portal
Publication:5468460
DOI10.1142/S0217751X06025389zbMath1092.81018OpenAlexW1987799149MaRDI QIDQ5468460
Publication date: 10 May 2006
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217751x06025389
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Weak interaction in quantum theory (81V15)
Related Items
Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials ⋮ Wave packet dynamics for a system with position and time-dependent effective mass in an infinite square well ⋮ DARBOUX TRANSFORMATIONS FOR N-DIMENSIONAL EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH HYPERSPHERICAL SYMMETRY ⋮ The exact solution of the Schrödinger equation with a polynomially spatially varying mass ⋮ A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario ⋮ Analytic solutions, Darboux transformation operators and supersymmetry for a generalized one-dimensional time-dependent Schrödinger equation ⋮ Intertwining operator method and supersymmetry for effective mass Schrödinger equations ⋮ TRACE FORMULA FOR GREEN'S FUNCTIONS OF EFFECTIVE MASS SCHRÖDINGER EQUATIONS AND NTH-ORDER DARBOUX TRANSFORMATIONS ⋮ DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS ⋮ EFFECTIVE MASS HAMILTONIANS WITH LINEAR TERMS IN THE MOMENTUM: DARBOUX TRANSFORMATIONS AND FORM-PRESERVING TRANSFORMATIONS ⋮ Intertwining relations and Darboux transformations for Schrödinger equations in (n+1) dimensions ⋮ REALITY CONDITION FOR DARBOUX TRANSFORMATIONS OF TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS ⋮ Darboux transformations of the one-dimensional stationary Dirac equation with linear potential and its new solutions
Cites Work
- Exact solvability of potentials with spatially dependent effective masses
- Exactly solvable pseudoscalar periodic Dirac potentials from Darboux transformations and underlying nonlinear supersymmetry.
- New possibilities for supersymmetry breakdown in quantum mechanics and second-order irreducible Darboux transformations
- The Darboux transformation for the one-dimensional stationary Dirac equation with a pseudoscalar potential
- On irreducible second-order Darboux transformations
- Darboux transformations for Lamé potentials.
- Supersymmetry of a nonstationary Schrödinger equation.
- Darboux transformation for Dirac equations with \((1+1)\) potentials
- Darboux transformation and exactly solvable potentials with quasi-equidistant spectrum
- Some properties of higher-order Darboux transformations
- Darboux transformation for the nonsteady Schrödinger equation
- Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential
- Exact solutions of the position-dependent mass Schrödinger equation in \(D\) dimensions
- Darboux transformation for the Schrödinger equation with steplike potentials
- The Darboux transformation and solvable double-well potential models for Schrödinger equations
- An exactly soluble Schrödinger equation with smooth position-dependent mass
- On form-preserving transformations for the time-dependent Schrödinger equation
- Darboux transformations of the one-dimensional stationary Dirac equation
- Annth-order Darboux transformation for the one-dimensional time-dependent Schr dinger equation
- The Darboux transformation and algebraic deformations of shape-invariant potentials
- Generalization of the Darboux transformation and generalized harmonic oscillators
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- Energy eigenvalues for the systems with position-dependent effective mass
- Generalizes Darboux transformations: classification of inverse scattering methods for the radial Schrodinger equation
- SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
- Comment on ‘Generalization of the Darboux transformation and generalized harmonic oscillators’
