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Effects on the eigenvalues of the quantum bouncer due to dissipation

G. Lopez·G. Gonzalez
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Abstract

Effects on the spectra of the quantum bouncer due to dissipation are given when a linear or quadratic dissipation is taken into account. Classical constant of motions and Hamiltonians are deduced for these systems and their quantized eigenvalues are estimated through perturbation theory. we found some differences when we compare the eigenvalues of these two quantities.

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G. Lopez, G. Gonzalez. 2003-12-05. Effects on the eigenvalues of the quantum bouncer due to dissipation. https://arxiv.org/abs/quant-ph/0312057

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