On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account

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dc.creatorZhislin, Grigorii
dc.date2006-02-20
dc.date.accessioned2026-07-07T09:34:24Z
dc.date.available2026-07-07T09:34:24Z
dc.descriptionIn this paper we formulate our results on the essential spectrum of many-particle pseudorelativistic Hamiltonians without magnetic and external potential fields in the spaces of functions, having arbitrary type $α$ of the permutational symmetry. We discover location of the essential spectrum for all $α$ and for some cases we establish new properties of the lower bound of this spectrum, which are useful for study of the discrete spectrum.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0602050
dc.identifierhttp://arxiv.org/abs/math-ph/0602050
dc.identifierSIGMA 2 (2006), 024, 9 pages
dc.identifierdoi:10.3842/SIGMA.2006.024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159479
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subjectQuantum Physics
dc.titleOn the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account
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