Bound states in curved quantum layers

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F01%3A00000737" target="_blank" >RIV/61389005:_____/01:00000737 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Bound states in curved quantum layers

Original language description

We consider a nonrelativistic quantum particle constrained to a curved layer of constant width built over a non-compact surface embedded in R-3. We Suppose that the latter is endowed with the geodesic polar coordinates and that the layer has the hard-wall boundary. Under the assumption that the surface curvatures vanish at infinity we find sufficient conditions which guarantee the existence of geometrically induced bound states.

Czech name

Vázané stavy v zakřivených kvantových vrstvách

Czech description

Uvažujeme nerelativistickou kvantovou částici vázanou v zakřivené vrstvě konstantní šířky generované nekompaktní plochou vnořenou do R3.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/IAA1048801" target="_blank" >IAA1048801: Constraint quantum systems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2001

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Communications in Mathematical Physics

ISSN

0010-3616

e-ISSN

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Volume of the periodical

223

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

16

Pages from-to

13-28

UT code for WoS article

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EID of the result in the Scopus database

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