Ambiguities on the quantization of a one-dimensional dissipative system with position depending dissipative coefficient

2005/04/22 by Gustavo V. López, Gustavo Lopez, Lopez, Gustavo +6
Computer Science · Engineering · Pharmacology, Toxicology and Pharmaceutics · Physics and Astronomy · #Chemical Reactions and Isotopes #Elasticity and Wave Propagation #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0504167

8 pages, no figures, LaTeX format

arxiv created 2005/04/22 · openalex publication_date 2005/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a one-dimensional dissipative system with position depending coefficient, two constant of motion are deduce. These constants of motion bring about two Hamiltonians to describe the dynamics of same classical system. However, their quantization describe the dynamics of two completely different quantum systems.

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