Symmetries and Supersymmetries of Generalized Schrödinger equations
arXiv:2002.06438
Abstract
In this survey the contemporary results concerning supersymmetries in generalized Schrödinger equations are presented. Namely, position dependent mass Schödinger equations are discussed as well as the equations with matrix potentials. An extended number of realistic quantum mechanical problems admitting extended supersymmetries is described, an extended class of matrix potentials is classified.
References in corpus (16)
- Supersymmetry and Quantum Mechanics
- Supersymmetric Quantum Mechanics
- SUSY approach to Pauli Hamiltonians with an axial symmetry
- New exactly solvable relativistic models with anomalous interaction
- Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions
- Superintegrable systems with position dependent mass
- Superintegrable and shape invariant systems with position dependent mass
- An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals
- Supersymmetry of a spin 1/2 particle on the real line
- Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
- Polynomial Supersymmetry for Matrix Hamiltonians
- Spectral Design for Matrix Hamiltonians: Different Methods of Constructing of a Matrix Intertwining Operator
- Minimal Realizations of Supersymmetry for Matrix Hamiltonians
- Generalized Hermite Polynomials and Monodromy-Free Schrödinger Operators
- Higher order symmetries for linear and nonlinear Schroedinger equations
- Exact solvability of PDM systems with extended Lie symmetries