dorsal/arxiv
View SchemaLocally curved quantum layers
| Authors | P. Duclos, P. Exner, D. Krejcirik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910035 |
| URL | https://arxiv.org/abs/quant-ph/9910035 |
| Journal | Ukrainian J. Phys. 45 (2000), 595-601 |
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.
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"abstract": "We consider a quantum particle constrained to a curved layer of a constant\nwidth built over an infinite smooth surface. We suppose that the latter is a\nlocally deformed plane and that the layer has the hard-wall boundary. Under\nthis assumptions we prove that the particle Hamiltonian possesses geometrically\ninduced bound states.",
"arxiv_id": "quant-ph/9910035",
"authors": [
"P. Duclos",
"P. Exner",
"D. Krejcirik"
],
"categories": [
"quant-ph",
"cond-mat",
"math-ph",
"math.MP"
],
"journal_ref": "Ukrainian J. Phys. 45 (2000), 595-601",
"title": "Locally curved quantum layers",
"url": "https://arxiv.org/abs/quant-ph/9910035"
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