6533b82cfe1ef96bd128fe98

RESEARCH PRODUCT

Probabilities, States, Statistics

Florian Scheck

subject

Condensed Matter::Quantum GasesBinary entropy functionEntropy (statistical thermodynamics)StatisticsLaw of total probabilityObservableBlack-body radiationStatistical theoryEigenvalues and eigenvectorsMathematicsProbability measure

description

In this chapter we clarify some important notions which are relevant in a statistical theory of heat: The definitions of probability measure, and of thermodynamic states are illustrated, successively, by the classical Maxwell-Boltzmann statistics, by Fermi-Dirac statistics and by Bose-Einstein statistics. We discuss observables and their eigenvalue spectrum as well as entropy and we calculate these quantities for some examples. The chapter closes with a comparison of statistical descriptions of classical and quantum gases.

yearjournalcountryeditionlanguage
2016-01-01
https://doi.org/10.1007/978-3-319-40049-5_4