1974/10/15 by F. A. Buot · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum and electron transport phenomena #Surface and Thin Film Phenomena
paper · doi:10.1103/physrevb.10.3700
openalex publication_date 1974/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/04
Expressing the quantum mechanics of Bloch electrons in a solid in terms of the Weyl transform instead of quantum operators and the Wigner function instead of state vectors, the method used by Wannier and Upadhyaya for calculating the trace of the n th power of the Hamiltonian operator is generalized as a series expansion in powers of \ensuremathℏ2 of a cosine function of a sum of Poisson-bracket operators. The expression is calculated explicitly to order \ensuremathℏ2. The result is applied to the derivation of the magnetic susceptibility of solids with substitutional impurities, to order \ensuremathℏ2, as well as to other problems where spatial inhomogeneity is present.