ON A SPECTRAL THEOREM FOR DEFORMATION QUANTIZATION
Copyright policy )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 spectral asymptotics is discussed.
- Moscow Technological Institute Russian Federation
- University of Potsdam Germany
ddc:510, eigenspace, deformation quantization, Deformation quantization, star products, Institut für Mathematik, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, critical point of Morse type, spectral theorem, perturbation theory
ddc:510, eigenspace, deformation quantization, Deformation quantization, star products, Institut für Mathematik, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, critical point of Morse type, spectral theorem, perturbation theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!