Crossover from quantum to Boltzmann statistics for free particles in a single harmonic trap

DOI10.1007/S10773-011-0915-7zbMath1250.82011OpenAlexW2012276709MaRDI QIDQ432080

J. Herrera, H. S. Yoon

Publication date: 3 July 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-0915-7

zbMATH Keywords

quantum statistical mechanicsnumber theoryalgebraic structuresclassical ensemble theory

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Cites Work

• The distribution of the number of summands in the partitions of a positive integer
• Dependence of the existence of thermal equilibrium on the number of particles at low temperatures
• Chemical potential for the Bose gases in a one-dimensional harmonic trap
• Cumulants of partitions
• Particle number fluctuations in an ideal Bose gas
• AN ASYMPTOTIC FORMULA IN THE THEORY OF PARTITIONS

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