Exact propagators for complex SUSY partners of real potentials
arXiv:quant-ph/0602218 · doi:10.1016/j.physleta.2006.03.053
Abstract
A method for calculating exact propagators for those complex potentials with a real spectrum which are SUSY partners of real potentials is presented. It is illustrated by examples of propagators for some complex SUSY partners of the harmonic oscillator and zero potentials.
References in corpus (15)
- Supersymmetry and Quantum Mechanics
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Schrödinger operators with complex potential but real spectrum
- Pseudo-Hermiticity for a Class of Nondiagonalizable Hamiltonians
- Weak pseudo-Hermiticity and antilinear commutant
- Biorthogonal Quantum Systems
- PT-Symmetric Versus Hermitian Formulations of Quantum Mechanics
- On the pseudo-Hermitian nondiagonalizable Hamiltonians
- SUSY transformations between digonalizable and non-diagonalizable Hamiltonians
- Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations
- Is the CPT-norm always positive?
- Irreducible second order SUSY transformations between real and complex potentials
- Quadratic pseudosupersymmetry in two-level systems
Cited by in corpus (6)
- Gamow-Siegert functions and Darboux-deformed short range potentials
- Optical potentials using resonance states in Supersymmetric Quantum Mechanics
- Exact propagators for SUSY partners
- Dynamics of localized states in extended supersymmetric quantum mechanics with multi-well potentials
- Equivalent Hermitian operator from supersymmetric quantum mechanics
- Extended WKB method, resonances and supersymmetric radial barriers