Localization in space for a free particle in ultrametric quantum mechanics

DOI10.1134/S1064562406060305zbMath1209.81115OpenAlexW2146247755MaRDI QIDQ610535

Sergei V. Kozyrev, Andrei Yu. Khrennikov

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406060305

zbMATH Keywords

quantum mechanicslocalizationfree particleultrametric spacenon-Archimedean dynamicsPlanck distancepseudodifferential evolution equation

Mathematics Subject Classification ID

Related Items (13)

\(p\) -adic semilinear evolutionary pseudodifferential equations in Lizorkin spaces ⋮ Asymptotic negative type properties of finite ultrametric spaces ⋮ Classification of \(p\)-adic 6-dimensional filiform Leibniz algebras by solutions of \(x^q=a\) ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory ⋮ A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two ⋮ Transport through a network of capillaries from ultrametric diffusion equation with quadratic nonlinearity ⋮ \(p\)-adic wavelets and their applications ⋮ Non-Haar \(p\)-adic wavelets and pseudodifferential operators ⋮ Dynamics on rugged landscapes of energy and ultrametric diffusion ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ Toward an ultrametric theory of turbulence ⋮ Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations

Cites Work

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• P-adic Schrödinger-type equation
• p-adic quantum mechanics
• On \(p\)-adic and adelic generalization of quantum field theory
• A wavelet theory for local fields and related groups
• THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY

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