Locally curved quantum layers

Abstract

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.

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

Cited by in corpus (2)

• Quantum strips on surfaces
• Existence of Bound States for Layers Built Over Hypersurfaces of Euclidean Space