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arXiv · 1302.5731

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

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

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L. A. Gonzalez-Diaz, S. Diaz-Solorzano. 2013-02-22. Bound states and scattering coefficients of self-adjoint Hamiltonians with a mass jump. https://doi.org/10.1063/1.4801782

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