Locally curved quantum layers

Details Locally curved quantum layers Locally curved quantum layers

1999-10-08

arxiv.org/abs/quant-ph/9910035v1

Ukrainian J. Phys. 45 (2000), 595-601

Physics

Quantum Physics

LaTeX2e, 15 pages, to appear in the Ukrainian J. Phys., Bogolyubov Memorial Issue

Scientific paper

We consider a quantum particle constrained to a curved layer of a constant
width built over an infinite smooth surface. We suppose that the latter is a
locally deformed plane and that the layer has the hard-wall boundary. Under
this assumptions we prove that the particle Hamiltonian possesses geometrically
induced bound states.

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