Exact propagators for SUSY partners
arXiv:math-ph/0702088 · doi:10.1088/1751-8113/40/34/013
Abstract
Pairs of SUSY partner Hamiltonians are studied which are interrelated by usual (linear) or polynomial supersymmetry. Assuming the model of one of the Hamiltonians as exactly solvable with known propagator, expressions for propagators of partner models are derived. The corresponding general results are applied to "a particle in a box", the Harmonic oscillator and a free particle (i.e. to transparent potentials).
31 pages
References in corpus (15)
- Supersymmetry and Quantum Mechanics
- Higher-Derivative Supersymmetry and the Witten Index
- Higher-order supersymmetric quantum mechanics
- Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics
- New possibilities for supersymmetry breakdown in quantum mechanics and second order irreducible Darboux transformations
- New features in supersymmetry breakdown in quantum mechanics
- SUSY transformations between digonalizable and non-diagonalizable Hamiltonians
- A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation
- SUSY transformation of the Green function and a trace formula
- Quadratic pseudosupersymmetry in two-level systems
- Exact propagators for complex SUSY partners of real potentials
- Two-level systems: exact solutions and underlying pseudo-supersymmetry
- Exact propagators for atom-laser interactions
- Exact Propagators for Soliton Potentials
- Supersymmetry approach to nuclear-spin-polarization-induced quantum dot structure calculations
Cited by in corpus (8)
- Supersymmetric twisting of carbon nanotubes
- Bent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries
- Tunneling dynamics in exactly-solvable models with triple-well potentials
- Dynamics of localized states in extended supersymmetric quantum mechanics with multi-well potentials
- Connection between the Green functions of the supersymmetric pair of Dirac Hamiltonians
- A generalized Swanson Hamiltonian in a second-derivative pseudo-supersymmetric framework
- Propagators of isochronous an-harmonic oscillators and Mehler formula for the x-Hermite polynomials
- Propagators of Generalized Schrödinger Equations Related by Higher-Order Supersymmetry