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- W146378889 abstract "The aim of this lecture is to show that the harmonic oscillator model of the non-equilibrium quantum statistical mechanics which was presented by Emch [1] we can obtain by the natural quantization of the two interesting transformations in the phase-space of the one-dimensional classical harmonic oscillator: $$ Pi _{beta /2} :left[ {begin{array}{*{20}c} z hfill {z^* } hfill end{array} } right] to left[ {begin{array}{*{20}c} {e^{ - frac{{beta omega }} {2}} ;;z} hfill {e^{frac{{beta omega }} {2}} ;;z*} hfill end{array} } right]$$(1)$$ gamma (s):left[ {begin{array}{*{20}c} z hfill {z*} hfill end{array} } right],, to ,,left[ {_{e^{ - lambda s} ,,,z*}^{e^{ - lambda s} ,,,z} } right],,,,,,s geqslant 0$$(2)where z= ω1/2q + iω −1/2p, the physical constants n = 1, k = 1, and β is the inverse temperature." @default.
- W146378889 created "2016-06-24" @default.
- W146378889 creator A5026391310 @default.
- W146378889 date "1976-01-01" @default.
- W146378889 modified "2023-10-16" @default.
- W146378889 title "The Canonical Structure of a Classical Theory, Quantization Procedures and Non-Equilibrium Quantum Statistical Mechanics" @default.
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- W146378889 doi "https://doi.org/10.1007/978-3-7091-8462-2_7" @default.
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