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Quantum dynamics in a thin film. II. Stationary states |
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| Authors: | J Brüning S Yu Dobrokhotov R V Nekrasov |
| Institution: | 1. Institut für Mathematik, Humboldt-Universit?t zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany 2. Institute for Problems in Mechanics RAS, pr. Vernadskogo 101-1, Moscow, 119526, Russia |
| Abstract: | The spectrum of quantum waveguides simulating thin toroidal tubes and thin spherical surfaces is investigated. Asymptotic formulas are obtained and a geometric classification using the so-called Reeb graphs is carried out. |
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