The theory of non-Archimedean generalized functions and its applications to quantum mechanics and field theory

DOI10.1007/BF02367241zbMath0856.46052MaRDI QIDQ1910819

Andrei Yu. Khrennikov

Publication date: 23 April 1996

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

integration theory\(p\)-adic model of quantum physics\(p\)-adic probability distributionsFeynman distributionsfunctions that assume values in a n.a. fieldquantum mechanics for non Archimedean wave functions

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) Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Measures and integration on abstract linear spaces (46G12) Distributions, generalized functions, distribution spaces (46F99)

Cites Work

• Superanalysis, I. Differential calculus
• Mathematical methods of non-Archimedean physics
• Functional superanalysis
• MEASURES ON LINEAR TOPOLOGICAL SPACES
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