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Bound states in mildly curved layers
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SYSNO ASEP 0185352 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Bound states in mildly curved layers Author(s) Exner, Pavel (UJF-V) RID, ORCID, SAI
Krejčiřík, David (UJF-V) RIDSource Title Journal of Physics. A - Mathematical and General Physics - ISSN 0305-4470
Roč. 34, - (2001), s. 5969-5985Number of pages 17 s. Language eng - English Country GB - United Kingdom Subject RIV BE - Theoretical Physics R&D Projects KSK1010104 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) Annotation It has been shown recently that a nonrelativistic quantum particle constrained to a hard-wall layer of constant width built over a geodesically complete simply connected noncompact curved surface can have bound states, provided the surface is not a plane. In this paper we study the weak-coupling asymptotics of these bound states, i.e., the situation when the surface is a mildly curved plane. Under suitable assumptions about regularity and decay of surface curvatures we derive the leading order in the ground-state eigenvalue expansion. The argument is based on Birman-Schwinger analysis of Schrodinger operators in a planar hard-wall layer. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2002
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