Publication:
Supersymmetric dynamical invariants

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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.

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Journal of Physics A: Mathematical and General

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Iop Publishing Ltd

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Physics, multidisciplinary, Physics, mathematical

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