English

Velocity quantization approach of the one-dimensional dissipative harmonic oscillator

Quantum Physics 2009-11-11 v1

Abstract

Given a constant of motion for the one-dimensional harmonic oscillator with linear dissipation in the velocity, the problem to get the Hamiltonian for this system is pointed out, and the quantization up to second order in the perturbation approach is used to determine the modification on the eigenvalues when dissipation is taken into consideration. This quantization is realized using the constant of motion instead of the Hamiltonian.

Keywords

Cite

@article{arxiv.quant-ph/0506179,
  title  = {Velocity quantization approach of the one-dimensional dissipative harmonic oscillator},
  author = {Gustavo Lopez and Pablo Lopez},
  journal= {arXiv preprint arXiv:quant-ph/0506179},
  year   = {2009}
}

Comments

10 pages, 2 figures

R2 v1 2026-07-22T19:49:33.348Z