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

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.

Cited by in corpus (2)

• Point-Particle Effective Field Theory I: Classical Renormalization and the Inverse-Square Potential
• Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump