Scattering in abrupt heterostructures using a position dependent mass Hamiltonian

Details Scattering in abrupt heterostructures using a position dependent mass Hamiltonian Scattering in abrupt heterostructures using a position dependent mass Hamiltonian

2005-10-22

arxiv.org/abs/quant-ph/0510172v1

Physics

Quantum Physics

Eur. Phys. J. B. To be published

Scientific paper

10.1140/epjb/e2005-00422-x

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.

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