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# Elements of Statistical Thermodynamics and Quantum Theory

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## Abstract

This chapter starts with a statistical model of independent particles and a brief introduction to the basic principles of quantum mechanics. The three important distributions are derived based on the statistics for different types of particles. The microscopic descriptions and results are then linked to macroscopic quantities and the laws of thermodynamics. The application to ideal gases is presented in this chapter, while the applications to blackbody radiation, lattice vibration, free electrons in metals, and electrons and holes in semiconductors will be deferred to later chapters.

## Keywords

Classical statistical mechanics Independent particles Quantum statistics Energy level Equilibrium distribution functions Maxwell’s velocity distribution function Properties of ideal gas Degrees of freedom Specific heat Basics of quantum mechanics Photon emission and absorption Mass and energy relation in special relativity## References

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