Mathematical methods of non-Archimedean physics

DOI10.1070/RM1990v045n04ABEH002378zbMath0722.46040OpenAlexW2101641159MaRDI QIDQ3209660

Andrei Yu. Khrennikov

Publication date: 1990

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1990v045n04abeh002378

zbMATH Keywords

Klein-Gordon equationstring theorywave functionsSchrödinger representationsFeynman path integralsfield theorynon-archimedean bosonic string theorynon-archimedean colornon-archimedean quantum theoryNon-archimedean scalar boson field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Path integrals in quantum mechanics (81S40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

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