SPECTRAL THEORY INp-ADIC QUANTUM MECHANICS, AND REPRESENTATION THEORY

DOI10.1070/IM1991v036n02ABEH002022zbMath0715.22029OpenAlexW2049350560MaRDI QIDQ3202328

E. I. Zelenov, Vasily S. Vladimirov, Igor V. Volovich

Publication date: 1991

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1991v036n02abeh002022

zbMATH Keywords

charactersunitary representationquantum mechanicsevolution operatorunitary operatorsp-adic numbersorthonormal eigenfunctionsp-adic harmonic oscillatorp-adic pseudo-differential operatorsquadratically summable complex functions

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Axiomatic quantum field theory; operator algebras (81T05) Analysis on (p)-adic Lie groups (22E35) Analysis on other specific Lie groups (43A80) Non-Archimedean valued fields (12J25)

Related Items (10)

Scalar fields on \(p\)AdS ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Tables of integrals for complex-valued functions of \(p\)-adic arguments ⋮ Some problems of analysis on the field ofp-adic numbers ⋮ Asymptotic form of the spectrum of operators associated with \(p\)-adic fields ⋮ On \(p\)-adic bounded functions. II ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ Holography and local fields ⋮ A Schrödinger-type equation over the field of p-adic numbers ⋮ A note on the p-adic Kozyrev wavelets basis

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