This paper investigates the effects of mass dicontinuity on the numerical solutions to quantum wells using the effective mass equation. The numerical methods utilized are the finite element method with first-order elements, and the finite difference method with the entire truncated solution domain d
Discontinuities in the effective-mass equation
โ Scribed by L.C Lew Yan Voon
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 125 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0749-6036
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โฆ Synopsis
The validity of the Heisenberg uncertainty principle for the effective-mass equation is analytically verified for the first time. The procedure also provides an unambiguous demonstration of the need for a distributional derivative in the solution of the one-dimensional rectangular quantum-well problem for Hamiltonians with a piecewise-constant mass function.
๐ SIMILAR VOLUMES
## Abstract A note on the effects of a weak discontinuity in the forcing function __g(x)__ of a singular, integral equation of the first kind and the resulting strong discontinuity that can appear in the solution __f__(__x__) is presented.