2007/10/16 by Gustavo Lopez, Gustavo V. López, Pablo Lopez +7
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.0710.3123
12 pages, 1 figure (ps)
arxiv created 2007/10/16 · openalex publication_date 2007/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a free falling particle moving in a media which has quadratic velocity force effect on the particle, two equivalent constants of motion, with units of energy, two Lagrangians, and two Hamiltonians are deduced. These quantities describe the dynamics of the same classical system. However, their quantization and the associated statistical mechanics (for an ensemble of particles) describe two completely different quantum and statistical systems. This is shown at first order in the dissipative parameter.