Supersymmetric Dynamical Invariants
Quantum Physics
2009-11-07 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We address the problem of identifying the (nonstationary) quantum systems that admit supersymmetric dynamical invariants. In particular, we give a general expression for the bosonic and fermionic partner Hamiltonians. Due to the supersymmetric nature of the dynamical invariant the solutions of the time-dependent Schr\"odinger equation for the partner Hamiltonians can be easily mapped to one another. We use this observation to obtain a class of exactly solvable time-dependent Schr\"odinger equations. As applications of our method, we construct classes of exactly solvable time-dependent generalized harmonic oscillators and spin Hamiltonians.
Keywords
Cite
@article{arxiv.quant-ph/0104071,
title = {Supersymmetric Dynamical Invariants},
author = {Ali Mostafazadeh},
journal= {arXiv preprint arXiv:quant-ph/0104071},
year = {2009}
}
Comments
Plain Latex, accepted for publication in J. Phys. A: Math. Gen