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Albeverio, S.; Hoeegh-Krohn, R.; Holden, H.; Gesztesy, F.
Bielefeld Univ. (Germany, F.R.). Zentrum fuer Interdisziplinaere Forschung
Bielefeld Univ. (Germany, F.R.). Zentrum fuer Interdisziplinaere Forschung
AbstractAbstract
[en] We give an overview of recent results on exactly solvable models in quantum mechanics. In particular we discuss point interactions located at finitely or infinitely many centers, in one and three dimensions. Results about the resolvent, energy eigenvalues and resonances, scattering quantitites as well as eigenfunctions and corresponding low energy expansions are mentioned, with particular attention to the case of three-dimensional crystals. (orig.)
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Bielefeld Univ. Zentrum fuer Interdisziplinaere Forschung. Project No. 2 mathematics + physics; no. 27; nd; 18 p
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Miscellaneous
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BAND THEORY, BCC LATTICES, CRYSTAL MODELS, EIGENFUNCTIONS, EIGENVALUES, ENERGY SPECTRA, FCC LATTICES, FERMI LEVEL, HAMILTONIANS, MANY-BODY PROBLEM, MATHEMATICAL MODELS, ONE-DIMENSIONAL CALCULATIONS, POWER SERIES, QUANTUM MECHANICS, RESONANCE, SCATTERING, STOCHASTIC PROCESSES, THREE-DIMENSIONAL CALCULATIONS
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