Bound states and scattering coefficients of self-adjoint Hamiltonians with a mass jump
Mathematical Physics
2015-06-15 v2 math.MP
Quantum Physics
Abstract
Physical self-adjoint extensions and their spectra of the simplest one-dimensional Hamiltonian operator in which the mass is constant except for a finite jump at one point of the real axis are correctly found. Some self-adjoint extensions are used to model different kinds of semiconductor heterojunctions within the effective-mass approximation. Their properties and relation to different boundary conditions on envelope wave functions are studied. The limiting case of equal masses (with no mass jump) are reviewed.
Keywords
Cite
@article{arxiv.1302.5731,
title = {Bound states and scattering coefficients of self-adjoint Hamiltonians with a mass jump},
author = {L. A. Gonzalez-Diaz and S. Diaz-Solorzano},
journal= {arXiv preprint arXiv:1302.5731},
year = {2015}
}