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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
Descripción
Sumario: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.