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A spectral theorem for deformation quantisation

  • We present a construction of the eigenstate at a noncritical level of the Hamiltonian function. Moreover, we evaluate the contributions of Morse critical points to the spectral decomposition.

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Author details:Nikolai Nikolaevich TarkhanovORCiDGND
URN:urn:nbn:de:kobv:517-opus4-72425
ISSN:2193-6943
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (4 (2015) 4)
Publisher:Universitätsverlag Potsdam
Place of publishing:Potsdam
Publication type:Preprint
Language:English
Year of first publication:2015
Publication year:2015
Publishing institution:Universität Potsdam
Publishing institution:Universitätsverlag Potsdam
Release date:2015/02/23
Tag:WKB method; spectral theorem; star product
Volume:4
Issue:4
Number of pages:8
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC classification:53-XX DIFFERENTIAL GEOMETRY (For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx) / 53Dxx Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx] / 53D55 Deformation quantization, star products
Collection(s):Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2015
Publishing method:Universitätsverlag Potsdam
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
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