Algebraic calculation of the resolvent of a generalized quantum oscillator in a space of dimension \(D\)

DOI10.1007/S11232-015-0354-3zbMath1335.81073OpenAlexW2272423964MaRDI QIDQ268974

K. S. Karpov, Yu. M. Pis`mak

Publication date: 18 April 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-015-0354-3

zbMATH Keywords

resolventspectral decomposition\(\mathrm{sl}(2)\) algebrageneralized quantum oscillatorisotropic model of quantum mechanics

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• A geometrical angle on Feynman integrals
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• New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

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