Abstract

GONZALEZ, Gabriel. Quantum bouncer with quadratic dissipation. Rev. mex. fis. [online]. 2008, vol.54, n.1, pp.5-7. ISSN 0035-001X.

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.

Keywords : Quantum bouncer; dissipative systems; canonical quantization.

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