On the finiteness of discrete spectrum in the n-particle problem

DOI10.1016/0034-4877(84)90024-7zbMath0581.46063OpenAlexW2059408836MaRDI QIDQ1067566

G. M. Zhislin, Semjon A. Vugalter

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90024-7

zbMATH Keywords

discrete spectrumenergy operatorbreaking the initial system into any number of stable subsystemsdiscrete spectrum finiteness of the energy operators of many particle quantum systems in the absence of external fieldsessential spectrum of the Hamiltonianm-particle problemmany particle Hamiltonainsystems with long-range action

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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