Velocity quantization approach of the one-dimensional dissipative harmonic oscillator

Details Velocity quantization approach of the one-dimensional dissipative harmonic oscillator Velocity quantization approach of the one-dimensional dissipative harmonic oscillator

2005-06-21

arxiv.org/abs/quant-ph/0506179v1

Physics

Quantum Physics

10 pages, 2 figures

Scientific paper

10.1007/s10773-006-9064-9

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.

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