Publication: Supersymmetric dynamical invariants
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Language
English
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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 Schrodinger 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 Schrodinger equations. As applications of our method, we construct classes of exactly solvable time-dependent generalized harmonic oscillators and spin Hamiltonians.
Description
Source:
Journal of Physics A: Mathematical and General
Publisher:
Iop Publishing Ltd
Keywords:
Subject
Physics, multidisciplinary, Physics, mathematical