Abstract
A classical gas in a volume V is composed of N independent and indistinguishable particles. The single particle Hamiltonian is \(H = \tfrac{{{p^2}}}{{2m}}\), with m the mass of the particle and p the absolute value of the momentum. Moreover, for each particle, we find 2 internal energy levels: a ground state with energy 0 and degeneracy g 1, and an excited state with energy E>0 and degeneracy g 2. Determine the canonical partition function and the specific heat C V as a function of the temperature T. Analyze the limit of low temperatures and comment on the final result.
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© 2012 Springer-Verlag Italia
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Cini, M., Fucito, F., Sbragaglia, M. (2012). Canonical Ensemble. In: Solved Problems in Quantum and Statistical Mechanics. UNITEXT(). Springer, Milano. https://doi.org/10.1007/978-88-470-2315-4_7
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DOI: https://doi.org/10.1007/978-88-470-2315-4_7
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2314-7
Online ISBN: 978-88-470-2315-4
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