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Scattering in abrupt heterostructures using a position dependent mass Hamiltonian

Quantum Physics 2009-11-11 v1

Abstract

Transmission probabilities of the scattering problem with a position dependent mass are studied. After sketching the basis of the theory, within the context of the Schr\"{o}dinger equation for spatially varying effective mass, the simplest problem, namely, tranmission through a square well potential with a position dependent mass barrier is studied and its novel properties are obtained. The solutions presented here may be adventageous in the design of semiconductor devices.

Keywords

Cite

@article{arxiv.quant-ph/0510172,
  title  = {Scattering in abrupt heterostructures using a position dependent mass Hamiltonian},
  author = {Ramazan Koc and Mehmet Koca and Gultekin Sahinoglu},
  journal= {arXiv preprint arXiv:quant-ph/0510172},
  year   = {2009}
}

Comments

Eur. Phys. J. B. To be published