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

@article{GonzlezDaz2013BoundSA,
  title={Bound states and scattering coefficients of self-adjoint Hamiltonians with a mass jump},
  author={L. A. Gonz{\'a}lez-D{\'i}az and S. Diaz-Solorzano},
  journal={arXiv: Mathematical Physics},
  year={2013}
}
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… 
3 Citations
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