Hamiltonian Feynman integrals for equations with the Vladimirov operator

DOI10.1134/S1064562410020122zbMath1210.46061OpenAlexW2085393040MaRDI QIDQ606550

O. G. Smolyanov, N. N. Shamarov

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1134/s1064562410020122

zbMATH Keywords

\(p\)-adic numbersheat-type equationHamiltonian Feynman path integralVladimirov operator

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Applications of manifolds of mappings to the sciences (58D30) (p)-adic differential equations (12H25) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items

The Method of Chernoff Approximation, Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions, Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations, Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization

Cites Work

• SMOOTH PROBABILITY MEASURES AND ASSOCIATED DIFFERENTIAL OPERATORS
• Statement of a Problem in Quantum Mechanics
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• An Operator Calculus Having Applications in Quantum Electrodynamics
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