Abstract
In the theory of quantum systems the statistical sum \(Z_q(\beta,h)=\sum^\infty_{n=1} e^{-\beta E_n(h)},\,\,\,\,\ \beta = \frac{1}{kT}\) plays the main role. In formula k is the Boltzmann constant, T is absolute temperature, h is the Planck constant, En(h) are eigenvalues of the energy operator H of the considered system. In classical physics the integral \(Z_c(\beta)= \int\int e^{-\beta H (p,q)} dp\,\,dq\) is the analog of sum. In formula the function H(p, q) is the classical Hamiltonian, p are corresponding generalized momenta, q are generalized coordinates.
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© 2012 Springer Basel
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Sakhnovich, L.A. (2012). Comparison of thermodynamic characteristics of quantum and classical approaches. In: Levy Processes, Integral Equations, Statistical Physics: Connections and Interactions. Operator Theory: Advances and Applications, vol 225. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0356-4_6
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DOI: https://doi.org/10.1007/978-3-0348-0356-4_6
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0355-7
Online ISBN: 978-3-0348-0356-4
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