A regularization of quantum field Hamiltonians with the aid of \(p\)-adic numbers

DOI10.1023/A:1005813632179zbMath0896.46047OpenAlexW205175919MaRDI QIDQ1383777

Andrei Yu. Khrennikov, Sergio A. Albeverio

Publication date: 25 May 1998

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1005813632179

zbMATH Keywords

regularizationquantization\(p\)-adic Hilbert space

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Model quantum field theories (81T10) Applications of operator theory in the physical sciences (47N50) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50)

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