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Supersymmetric manipulation of quasienergy states. Application to the Berry phase

B. F. Samsonov·M. L. Glasser·L. M. Nieto
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Abstract

Time-dependent supersymmetry allows one to delete quasienergy levels for time-periodic Hamiltonians and to create new ones. We illustrate this by examining an exactly solvable model related to the simple harmonic oscillator with a time-varying frequency. For an interesting nonharmonic example we present the change of the Berry phase due to a supersymmetry transformation.

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B. F. Samsonov, M. L. Glasser, L. M. Nieto. 2003-04-22. Supersymmetric manipulation of quasienergy states. Application to the Berry phase. https://arxiv.org/abs/quant-ph/0304144

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