Can \(p\)-adic numbers be useful to regularize divergent expectation values of quantum observables?

DOI10.1007/BF00670787zbMath0842.60096OpenAlexW2030021567MaRDI QIDQ1330097

Andrei Yu. Khrennikov, Roberto Cianci

Publication date: 15 August 1994

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00670787

zbMATH Keywords

Schrödinger equation\(p\)-adic analysis\(p\)-adic statisticsdivergent series in quantum mechanics

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Foundations of probability theory (60A99) Miscellaneous applications of number theory (11Z05) Other nonanalytic theory (11S85)

Related Items (4)

The problems of the non-Archimedean analysis generated by quantum physics ⋮ The present situation in quantum theory and its merging with general relativity ⋮ Spectral density estimation for symmetric stable p-adic processes ⋮ Representation of a quantum field Hamiltonian in \(p\)-adic Hilbert space

Cites Work

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• p-adic strings, the Weil conjectures and anomalies
• P-adic Schrödinger-type equation
• p-adic space-time and string theory
• Harmonic analysis and p-adic strings
• Calculation of general \(p\)-adic Feynman amplitude
• p-adic quantum mechanics
• RENORMALIZATION IN p-ADIC QUANTUM FIELD THEORY
• Mathematical methods of non-Archimedean physics
• p-adic quantum mechanics with p-adic valued functions

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