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The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics |
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| Authors: | George A. Elliott Toshikazu Natsume Ryszard Nest |
| Affiliation: | 1. Mathematics Institute, Universitetsparken 5, DK-2100, Copenhagen ?, Denmark 2. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Ontario, Canada 3. Department of Mathematics, State University of New York at Buffalo, 14214, Buffalo, New York, USA |
| Abstract: | A new approach to the Atiyah-Singer index theorem is described, using the technique of continuous fields ofC *-algebras. The proof is given in the case of elliptic pseudodifferential operators on ℝ n . |
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