Advertisement

Statistical Mechanics of Ideal Gases

  • Takafumi Kita
Part of the Graduate Texts in Physics book series (GTP)

Abstract

We clarify the thermodynamic properties of quantum ideal gases composed of identical monoatomic bosons or fermions. Aside from the standard content on the topic described in many textbooks, we specifically clarify the following: (i) Thermodynamic quantities of ideal gases can be expressed universally in terms of the single-particle density of states and either the Bose or Fermi distribution function. (ii) An appropriate choice of units enables us to study various homogeneous systems in a unified way. The result of (ii) is summarized in Fig. 4.1 below.

Keywords

Heat Capacity Internal Energy Thermodynamic Quantity Fermi Distribution Function Bose Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    M. Abramowitz, I.A. Stegun, (eds.), Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables (Dover, New York, 1965)Google Scholar
  2. 2.
    M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)CrossRefADSGoogle Scholar
  3. 3.
    G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists (Academic, New York, 2012)Google Scholar
  4. 4.
    L.D. Landau, E.M. Lifshitz, Quantum Mechanics: Non-relativistic Theory, 3rd edn. (Butterworth-Heinemann, Oxford, 1991)Google Scholar
  5. 5.
    C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002)Google Scholar
  6. 6.
    F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill, New York, 1965)Google Scholar
  7. 7.
    Teragon’s Summary of Cryogen PropertiesGoogle Scholar
  8. 8.
    R.C. Weast (ed.), Handbook of Chemistry and Physics (Chemical Rubber, Cleveland, 1965–)Google Scholar

Copyright information

© Springer Japan 2015

Authors and Affiliations

  • Takafumi Kita
    • 1
  1. 1.Department of PhysicsHokkaido UniversitySapporoJapan

Personalised recommendations