The Lerch function and the thermodynamical functions of the ideal quantum gases

DOI10.1063/1.1771481zbMath1071.82003OpenAlexW2003726328MaRDI QIDQ4833485

Salvino Ciccariello

Publication date: 15 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1771481

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Hurwitz and Lerch zeta functions (11M35) Higher logarithm functions (33B30)

Related Items (4)

A fast and simple algorithm for the computation of the Lerch transcendent ⋮ Thermodynamic similarity of physical systems ⋮ On a connection between the polylogarithm function and the Bass diffusion model ⋮ Chemical potential, Gibbs–Duhem equation and quantum gases

Cites Work

• Partition functions and symmetric polynomials
• Gases in two dimensions: universal thermodynamics and its consequences
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• Quantum gases and polylogs

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