Many-Particle Derivation of the Effective-Mass Equation for the Wannier Exciton
- 15 April 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 144 (2) , 708-714
- https://doi.org/10.1103/physrev.144.708
Abstract
The exciton state in an insulator is defined as an excited state of the fully interacting electronic system. Its motion is governed by the homogeneous Bethe-Salpeter equation. From this we derive the effective-mass approximation in the limit of small binding energy, small total momentum, and large spatial extent of the exciton. The corrections to the effective-mass approximation are briefly indicated.Keywords
This publication has 3 references indexed in Scilit:
- Ground-State Energy of a Many-Fermion System. IIPhysical Review B, 1960
- Interaction of Charged Particles in a DielectricPhysical Review B, 1958
- Effective Mass Theory in Solids from a Many-Particle StandpointPhysical Review B, 1957