Quantum bouncer with quadratic dissipation

Details Quantum bouncer with quadratic dissipation Quantum bouncer with quadratic dissipation

2008-02-15

arxiv.org/abs/0802.2246v1

Physics

Quantum Physics

Accepted for publication in Rev. Mex. Fis

Scientific paper

The energy loss due to a quadratic velocity dependent force on a quantum particle bouncing on 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 obtained the correction to the eigenvalues of the energy in first order quantum perturbation theory for the case of weak dissipation.

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