On the spectra of finite-dimensional quadratic Bose operators

DOI10.1007/BF02361212zbMath0912.47045OpenAlexW2052802219MaRDI QIDQ1274063

V. P. Maslov, Valeri V. Kucherenko

Publication date: 16 May 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02361212

zbMATH Keywords

spectral decompositionFock spacecreation and annihilation operatorsdiscrete and continuous spectrumfinite-dimensional Bose operatorselfajoint operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Cites Work

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• Normal forms of quadratic Bose operators
• Reduction of the Bose quadratic operator to the normal form
• The normal form of a system, close to a Hamiltonian system