Quantum Statistics

Abstract

Quantum statistics will be discussed in the subsequent sections. One statement we will discuss beforehand. The most important and most widely used result is the following:

• Let us list the possible eigenvalues of a quantum mechanical system: E ₁, ...,E ₂ , ...,E _j (V, N),.... Roughly speaking the E _j ’s are the “possible energy values”; more exactly, they are defined by the Hamilton operator ℋ(V, N) of quantum theory which possesses eigenfunctions φ _j,

  $$H{\varphi _j} = {E_j}{\varphi _j}$$

  .