2005/06/21 by Gustavo V. López, Gustavo Lopez, Pablo Lopez +1
Computer Science · Physics and Astronomy · #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.1007/s10773-006-9064-9
10 pages, 2 figures
arxiv created 2005/06/21 · openalex publication_date 2006/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.