1302.5731 (L. A. Gonzalez-Diaz et al.)

Bound states and scattering coefficients of self-adjoint Hamiltonians
with a mass jump    [PDF]

L. A. Gonzalez-Diaz, S. Diaz-Solorzano

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.

View original: http://arxiv.org/abs/1302.5731