Position-dependent effective mass and Galilean invariance
- 1 September 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 52 (3) , 1845-1849
- https://doi.org/10.1103/physreva.52.1845
Abstract
Instantaneous Galilean invariance is used to derive from first principles the expression for the Hamiltonian of an electron with a position-dependent effective mass, as well as the adequate boundary conditions for the wave function in the case of abrupt heterojunctions. A very elementary model sustaining these results in the envelope-function approximation is also proposed.Keywords
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