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8.044 Lecture Notes Chapter 9: Quantum Ideal Gases

Lecture Notes Chapter 9: Quantum Ideal Gases Lecturer: McGreevy Range of validity of classical Ideal gas .. 9-2. Quantum systems with many indistinguishable particles .. 9-4. Statistical mechanics of N non-interacting (indistinguishable) bosons or fermions 9-9. Classical Ideal gas limit of Quantum Ideal gas .. 9-13. Ultra-high temperature (kB T mc2 and kB T ) limit .. 9-15. Fermions at low temperatures .. 9-18. Bosons at low temperatures .. 9-33. Reading: Baierlein, Chapters 8 and 9. 9-1. Range of validity of classical Ideal gas For a classical Ideal gas, we derived the partition function 3/2.

The stat mech of a gas of them was developed by Fermi and Dirac, hence \Fermi-Dirac statistics". For non-interacting Bose or Fermi particles (we will always assume this): energy eigenstates are always (symmetric or antisymmetric) linear combinations of products of single-particle energy eigenstates.

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