Effects on the eigenvalues of the quantum bouncer due to dissipation

Details Effects on the eigenvalues of the quantum bouncer due to dissipation Effects on the eigenvalues of the quantum bouncer due to dissipation

2003-12-05

arxiv.org/abs/quant-ph/0312057v1

Physics

Quantum Physics

11 pages

Scientific paper

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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