Feynman formulas for semigroups generated by an iterated Laplace operator

DOI10.1134/S1061920817020133OpenAlexW2620997458MaRDI QIDQ1678785

M. S. Buzinov

Publication date: 7 November 2017

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920817020133

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (3)

Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example) ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ Explicit formula for evolution semigroup for diffusion in Hilbert space

Cites Work

• Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation
• Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals
• Feynman formulae for Feller semigroups
• A signed measure on path space related to Wiener measure
• One-Parameter Semigroups for Linear Evolution Equations
• Product formulas, nonlinear semigroups, and addition of unbounded operators
• Hamiltonian Feynman path integrals via the Chernoff formula
• LAGRANGIAN AND HAMILTONIAN FEYNMAN FORMULAE FOR SOME FELLER SEMIGROUPS AND THEIR PERTURBATIONS
• Generalized Measures in Function Spaces

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