Abrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensions

Details Abrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensions Abrupt termination of a quantum channel and exactly solvable position-dependent mass models in three dimensions

2007-03-04

arxiv.org/abs/quant-ph/0703030v1

Physics

Quantum Physics

8 pages, no figure

Scientific paper

We consider a particle with a position-dependent mass, moving in a
three-dimensional semi-infinite parallelepipedal or cylindrical channel under
the influence of some hyperbolic potential. We show that the lack of uniformity
in the environment generates an infinite number of bound states.

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