Effects on the eigenvalues of the quantum bouncer due to dissipation

2003/12/05 by G. Lopez, Lopez, G., G. Gonzalez +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0312057

11 pages

arxiv created 2003/12/05 · arxiv updated 2009/12/01

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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