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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 024, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.024 (Mi sigma52) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Grigorii Zhislin

Radiophysical Research Institute, 25/14 Bol'shaya Pechorskaya Str., Nizhny Novgorod, 603950 Russia
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DOI: https://doi.org/10.3842/SIGMA.2006.024
Abstract: In 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 $\alpha$ of the permutational symmetry. We discover location of the essential spectrum for all $\alpha$ and for some cases we establish new properties of the lower bound of this spectrum, which are useful for study of the discrete spectrum.
Keywords: pseudorelativistic Hamiltonian; many-particle system; permutational symmetry; essential spectrum.
Received: October 27, 2005; in final form February 7, 2006; Published online February 20, 2006
Bibliographic databases:
Document Type: Article
MSC: 35P20; 35Q75; 46N50; 47N50; 70H05; 81Q10
Language: English
Citation: Grigorii Zhislin, “On the Essential Spectrum of Many-Particle Pseudorelativistic Hamiltonians with Permutational Symmetry Account”, SIGMA, 2 (2006), 024, 9 pp.
Citation in format AMSBIB
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