Quantum bouncer with quadratic dissipation

Authors

  • Gabriel González.

Keywords:

Quantum bouncer, dissipative systems, canonical quantization

Abstract

The energy loss due to a quadratic velocity-dependent force on a quantum particle bouncing off a perfectly reflecting surface is obtained for a full cycle of motion. We approach this problem by means of a new, effective, phenomenological Hamiltonian which corresponds to the actual energy of the system and obtain the correction to the eigenvalues of the energy in first-order quantum perturbation theory for the case of weak dissipation.

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Published

2008-01-01

How to Cite

[1]
Gabriel González., “Quantum bouncer with quadratic dissipation”, Rev. Mex. Fís., vol. 54, no. 1, pp. 5–0, Jan. 2008.