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A spectral theorem for deformation quantisation
Nikolai Nikolaevich Tarkhanov
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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Metadaten
Author details:
Nikolai Nikolaevich Tarkhanov
ORCiD
GND
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):
Keine öffentliche Lizenz: Unter Urheberrechtsschutz
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