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Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space()

The spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space [Formula: see text] is explicitly computed. It turns out that it consists of positive integer eigenvalues, each of which is of infinite multiplicity. Spectral analysis of the [Formula: see text]-Neumann Laplacian on the Fock...

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Detalles Bibliográficos
Autor principal: Haslinger, Friedrich
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Academic Press 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3607073/
https://www.ncbi.nlm.nih.gov/pubmed/23776306
http://dx.doi.org/10.1016/j.jmaa.2013.01.071
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author Haslinger, Friedrich
author_facet Haslinger, Friedrich
author_sort Haslinger, Friedrich
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description The spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space [Formula: see text] is explicitly computed. It turns out that it consists of positive integer eigenvalues, each of which is of infinite multiplicity. Spectral analysis of the [Formula: see text]-Neumann Laplacian on the Fock space is closely related to Schrödinger operators with magnetic fields and to the complex Witten Laplacian.
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spelling pubmed-36070732013-06-15 Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space() Haslinger, Friedrich J Math Anal Appl Article The spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space [Formula: see text] is explicitly computed. It turns out that it consists of positive integer eigenvalues, each of which is of infinite multiplicity. Spectral analysis of the [Formula: see text]-Neumann Laplacian on the Fock space is closely related to Schrödinger operators with magnetic fields and to the complex Witten Laplacian. Academic Press 2013-06-15 /pmc/articles/PMC3607073/ /pubmed/23776306 http://dx.doi.org/10.1016/j.jmaa.2013.01.071 Text en © 2013 Elsevier Inc. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license
spellingShingle Article
Haslinger, Friedrich
Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space()
title Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space()
title_full Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space()
title_fullStr Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space()
title_full_unstemmed Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space()
title_short Spectrum of the [Formula: see text]-Neumann Laplacian on the Fock space()
title_sort spectrum of the [formula: see text]-neumann laplacian on the fock space()
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3607073/
https://www.ncbi.nlm.nih.gov/pubmed/23776306
http://dx.doi.org/10.1016/j.jmaa.2013.01.071
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