Asymptotics of statistic characteristics of unharmonic oscillator

L. A. Sakhnovich

Courant Institute of Mathematical Sciences, 251 Mercer Str., NY 10012-D1185 New York, USA

Abstract: Let $T$, $F(T)$, $\overline E(T)$ and $S(T)$ denote the temperature, energy, mean energy and entropy of an equilibrium system, respectively. Under some conditions we find the asymptotic behaviour of $F(T)$, $\overline E(T)$ and $S(T)$ for the cases where either $T\to\infty$ or $T\to 0$. We compare the obtained results in quantum and classical cases.

Received: 19.10.2000

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