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Schroedinger equations with indefinite effective mass

Quantum Physics 2014-02-14 v2 Mathematical Physics math.MP

Abstract

The consistency of the concept of quantum (quasi)particles possessing effective mass which is both position- and excitation-dependent is analyzed via simplified models. It is shown that the system may be stable even when the effective mass m=m(x,E) itself acquires negative values in a limited range of coordinates x and energies E.

Keywords

Cite

@article{arxiv.1201.6142,
  title  = {Schroedinger equations with indefinite effective mass},
  author = {Miloslav Znojil and Géza Lévai},
  journal= {arXiv preprint arXiv:1201.6142},
  year   = {2014}
}

Comments

17 pp., 3 figs

R2 v1 2026-06-21T20:11:32.555Z