English

Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump

Quantum Physics 2015-06-19 v3 Mathematical Physics math.MP

Abstract

Physical self-adjoint extensions and their spectra of the one-dimensional Dirac type Hamiltonian operator in which both the mass and velocity are constant except for a finite jump at one point of the real axis are correctly found. Different boundary conditions on envelope wave functions are studied, and the limiting case of equal masses (with no mass jump) is reviewed. Transport across one-dimensional heterostructures described by the Dirac equation is considered.

Keywords

Cite

@article{arxiv.1406.0917,
  title  = {Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump},
  author = {L. A. González-Díaz and Alberto A. Díaz and S. Díaz-Solórzano and J. R. Darias},
  journal= {arXiv preprint arXiv:1406.0917},
  year   = {2015}
}

Comments

arXiv admin group: text overlap with arXiv:1302.5731

R2 v1 2026-06-22T04:30:04.029Z