5. Statistical Quantum Mechanics

Another feature of the quantum picture is that state space is not
continuous but consists of finite ``raster elements'': just think
of the discrete states of an ideal quantum gas. Finally, it depends
on the ``symmetry class'' of the particles how many of them may
inhabit the same discrete microstate.
**Fermions**, with a wave function of odd symmetry, can take on
a particular state only exclusively; the population number of a raster
element in pahese space can be just or . In contrast,
even-symmetry **bosons** may in any number share the same microstate.

What are the consequences of these additional counting rules for Statistical
Thermodynamics? To seek an answer we may either proceed in the manner
of Boltzmann (see Section 2.2) or à la Gibbs (see
Chapter 4). For a better understanding we will here sketch both
approaches.

- 5.1 Ideal quantum gas: Method of the most probable distribution
- 5.2 Ideal quantum gas: Grand canonical ensemble
- 5.3 Ideal Fermi gas
- 5.4 Ideal Bose gas
- 5.5 Problems for Chapter 5

2005-01-25