Locally curved quantum layers
Quantum Physics
2020-01-30 v1 Condensed Matter
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/9910035,
title = {Locally curved quantum layers},
author = {P. Duclos and P. Exner and D. Krejcirik},
journal= {arXiv preprint arXiv:quant-ph/9910035},
year = {2020}
}
Comments
LaTeX2e, 15 pages, to appear in the Ukrainian J. Phys., Bogolyubov Memorial Issue