Spectral geometry: two exactly solvable models

Two exactly solvable models illustrating the links between spectral properties of Hamiltonians, connections on the induced Hilbert bundles and topological characteristics of the basis spaces are considered. The first of them is based on the extension theory for symmetric operators and the second on...

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Bibliographic Details
Published in:Physics letters. A 1994-10, Vol.194 (1), p.59-63
Main Authors: Kuperin, Yu.A., Pavlov, B.S., Rudin, G.E., Vinitsky, S.I.
Format: Article
Language:English
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Summary:Two exactly solvable models illustrating the links between spectral properties of Hamiltonians, connections on the induced Hilbert bundles and topological characteristics of the basis spaces are considered. The first of them is based on the extension theory for symmetric operators and the second on the one-dimensional Laplace operator with parametrical boundary conditions.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(94)00725-5