Statistical Mechanics of Ideal Gases

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


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.


Heat Capacity Internal Energy Thermodynamic Quantity Fermi Distribution Function Bose Distribution 
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Copyright information

© Springer Japan 2015

Authors and Affiliations

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

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