Generalized spheroidal wave equations from an image-potential method for surface effects on impurity states
- 15 April 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 31 (8) , 5487-5489
- https://doi.org/10.1103/physrevb.31.5487
Abstract
Based on the hydrogenic effective-mass approximation, an image-potential method is developed for the treatment of impurities in semiconductors with a boundary surface. The Schrödinger equation is separable in prolate spheroidal coordinates (). Generalized spheroidal wave equations of and resulting from the separation constitute the basic equations for the study of surface effects on impurity states.
Keywords
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