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Annales Henri Poincaré
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Preprint . 2001
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Annales Henri Poincaré
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https://dx.doi.org/10.48550/ar...
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Annales Henri Poincaré
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On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator

On the discrete spectrum of a pseudo-relativistic two-body pair operator
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2003Embargo end date: 01 Jan 2001 English Publisher:Springer Science and Business Media LLCJournal:Annales Henri Poincaré, volume 4, pages 301-341 (issn: 1424-0637, eissn: 1424-0661, Copyright policy )
Authors: Semjon Vugalter; Timo Weidl;

doi: 10.1007/s00023-003-0131-y , 10.48550/arxiv.math-ph/0111044

arXiv: http://arxiv.org/abs/math-ph/0111044

On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator

Abstract

We prove Cwikel-Lieb-Rosenbljum and Lieb-Thirring type bounds on the discrete spectrum of a two-body pair operator and calculate spectral asymptotics for the eigenvalue moments and the local spectral density in the pseudo-relativistic limit.

Related Organizations
Keywords

High Energy Physics - Theory, Quantum Physics, Asymptotic distributions of eigenvalues in context of PDEs, Applications of operator theory in the physical sciences, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematics - Spectral Theory, High Energy Physics - Theory (hep-th), 35P20, FOS: Mathematics, Spectral theory and eigenvalue problems for partial differential equations, Quantum Physics (quant-ph), Spectral Theory (math.SP), Mathematical Physics, PDEs in connection with quantum mechanics, Selfadjoint operator theory in quantum theory, including spectral analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
Green
bronze