English

Quantum bouncer with quadratic dissipation

Quantum Physics 2008-02-18 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0802.2246,
  title  = {Quantum bouncer with quadratic dissipation},
  author = {Gabriel Gonzalez},
  journal= {arXiv preprint arXiv:0802.2246},
  year   = {2008}
}

Comments

Accepted for publication in Rev. Mex. Fis

R2 v1 2026-06-21T10:13:01.218Z