Heisenberg’s quantization of dissipative systems

Merced Montesinos
Phys. Rev. A 68, 014101 – Published 7 July 2003
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Abstract

The quantization of the damped one-dimensional harmonic oscillator is carried out. This is implemented by first writing the classical equations of motion that describe the system in a Hamiltonian form, the Hamiltonian being time independent explicitly. Canonical quantization is then implemented by using Heisenberg’s picture. When friction is turned off the results agree with those of the one-dimensional harmonic oscillator.

  • Received 4 February 2003

DOI:https://doi.org/10.1103/PhysRevA.68.014101

©2003 American Physical Society

Authors & Affiliations

Merced Montesinos*

  • Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Avenida Instituto Politécnico Nacional No. 2508, 07000 Ciudad de México, Mexico

  • *Electronic address: merced@fis.cinvestav.mx

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Vol. 68, Iss. 1 — July 2003

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