Published December 15, 1986
| Version v1
Journal article
Some consequences of the closure of the momentum Bloch functions
Creators
- 1. Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131
Description
We present a proof of the closure property of the momentum Bloch functions directly from the Schroedinger equation. We derive from this property several new relations involving the crystal potential, energy-band values at a fixed point in the first Brillouin zone, and the momentum matrix elements. These relations determine the crystal potential from the energy-band values and the Bloch functions at k = 0, and permit application of the kxp method to the momentum Bloch functions
Additional details
Publishing Information
- Journal Title
- Phys. Rev., B: Condens. Matter
- Journal Volume
- 34
- Journal Issue
- 12
- Series
- Phys. Rev., B: Condens. Matter.
- Journal Page Range
- 8611-8615
- ISSN
- 0163-1829
- CODEN
- PRBMD
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 18058725
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- BAND THEORY; BLOCH THEORY; BRILLOUIN ZONES; CRYSTAL FIELD; ELECTRONIC STRUCTURE; POTENTIALS; SCHROEDINGER EQUATION; SOLIDS; WAVE FUNCTIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS; ZONES