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Quantum mechanics over non-Archimedean number fields

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Publication:1814015
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DOI10.1007/BF01018032zbMath0767.46044MaRDI QIDQ1814015

Andrei Yu. Khrennikov

Publication date: 25 June 1992

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


zbMATH Keywords

nonarchimedean quantum mechanicsSchrödinger and Bargman-Fock representations


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) Applications of functional analysis in quantum physics (46N50)


Related Items (2)

Trotter's formula for the heat conduction and Schrödinger equations in a non-Archimedean superspace ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics



Cites Work

  • Number theory as the ultimate physical theory
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