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Velocity Quantization Approach of the One-Dimensional Dissipative Harmonic Oscillator

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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.

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Authors and Affiliations

  1. Departamento de Física de la Universidad de Guadalajara, Apartado Postal 4-137, 44410, Guadalajara, Jalisco, México

    G. López & P. López

Authors
  1. G. López
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  2. P. López
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Corresponding author

Correspondence to G. López.

Additional information

PACS: 03.20.+i, 03.30.+p, 03.65.−w,03.65.Ca

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López, G., López, P. Velocity Quantization Approach of the One-Dimensional Dissipative Harmonic Oscillator. Int J Theor Phys 45, 734–742 (2006). https://doi.org/10.1007/s10773-006-9064-9

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  • DOI: https://doi.org/10.1007/s10773-006-9064-9

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