Representation of solutions of evolution equations on a ramified surface by Feynman formulae

DOI10.1070/IM8376zbMath1393.81022OpenAlexW2839898734MaRDI QIDQ4576049

V. A. Dubravina

Publication date: 12 July 2018

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

Full work available at URL: https://doi.org/10.1070/im8376

zbMATH Keywords

Chernoff's theoremparabolic differential equationFeynman formularamified surface

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items (1)

Hamiltonian approach to secondary quantization

Cites Work

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• Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains
• Feynman description of the one-dimensional dynamics of particles whose masses piecewise continuously depend on coordinates
• Self-adjoint Hamiltonians with a mass jump: general matching conditions
• Feynman formulas for solutions of evolution equations on ramified surfaces
• Feynman formulas for second-order parabolic equations with variable coefficients
• One-Parameter Semigroups for Linear Evolution Equations
• Hamiltonian Feynman path integrals via the Chernoff formula

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