Quantum mechanics with coordinate-dependent mass

Details Quantum mechanics with coordinate-dependent mass Quantum mechanics with coordinate-dependent mass

1998-10-26

arxiv.org/abs/cond-mat/9810342v1

Phys. Rev. B 59, 7596 (1999).

Physics

Condensed Matter

3 Figures

Scientific paper

10.1103/PhysRevB.59.7596

We study a motion of quantum particles, whose properties depend on one coordinate so that they can move freely in the perpendicular direction. A rotationally-symmetric Hamiltonian is derived and applied to study a general interface formed between two semiconductors. We predict a new type of electron states, localized at the interface. They appear whenever the two bulk dispersions intersect. These shallow states lie near the point of intersection and are restricted to a finite range of perpendicular momentum. The scattering of carriers by the interface is discussed.

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