1998/10/26 by A. V. Bogdanov, А. В. Богданов, Bogdanov, A. V. +2
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #chao-dyn #nlin.CD #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9810079
LaTeX, 22 pages, 3 figures, presented on Int. Workshop "Trends in Mathematical Physics", USA, October, 1998. Submitted to Phys. Rev. E
openalex publication_date 1998/10/26 · arxiv created 1998/11/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The problem of random motion of 1D quantum reactive harmonic oscillator (QRHO) is formulated in terms of a wave functional regarded as a complex probability process in an extended space. In the complex stochastic differential equation (SDE) for this process the variables are separated with the help of the Langevin-type model SDE introduced in the functional space. The complete positive Fokker-Plank measure of the functional space is obtained. The average wave function of roaming QRHO is obtained by means of functional integration over the process with the complete Fokker-Plank measure in the functional space. The local and averaged transition matrices of roaming QRHO were constructed. The thermodynamics of nonrelativistic vacuum is investigated in detail and expressions for the internal energy, Helmholtzian energy and entropy are obtained. The oscillator's ground state energy, its shift and broadening are calculated.