Essential Spectrum of Multiparticle Brown-Ravenhall Operators in External Field
Sergey Morozov
TL;DR
This paper characterizes the essential spectrum of multiparticle Brown-Ravenhall operators considering external fields, interparticle interactions, and symmetries, providing a comprehensive spectral analysis relevant to quantum systems.
Contribution
It introduces a general framework for analyzing the essential spectrum of multiparticle Brown-Ravenhall operators with external fields and symmetries, extending previous spectral results.
Findings
Essential spectrum characterized via two-cluster decompositions
Applicable to a wide class of external fields and interactions
Includes systems with prescribed symmetries
Abstract
The essential spectrum of multiparticle Brown-Ravenhall operators is characterized in terms of two--cluster decompositions for a wide class of external fields and interparticle interactions and for the systems with prescribed symmetries.
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