Asymptotics of statistic characteristics of unharmonic oscillator
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 1, pp. 82-89 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
@article{JMAG_2001_8_1_a4,
     author = {L. A. Sakhnovich},
     title = {Asymptotics of statistic characteristics of unharmonic oscillator},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {82--89},
     year = {2001},
     volume = {8},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a4/}
}
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L. A. Sakhnovich. Asymptotics of statistic characteristics of unharmonic oscillator. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 1, pp. 82-89. http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a4/