On a spectral theorem for deformation quantization
We give a construction of an eigenstate for a non-critical level of the Hamiltonian function, and investigate the contribution of Morse critical points to the spectral decomposition. We compare the rigorous result with the series obtained by a perturbation theory. As an example the relation to the s...
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| Format: | Others |
| Language: | English |
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Universität Potsdam
2006
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-30161 http://opus.kobv.de/ubp/volltexte/2009/3016/ |
| Summary: | We give a construction of an eigenstate for a non-critical level of the Hamiltonian function, and investigate the contribution of Morse critical points to the spectral decomposition. We compare the rigorous result with the series obtained by a perturbation theory. As an example the relation to the spectral asymptotics is discussed. |
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