scientific article

zbMath1173.58006MaRDI QIDQ3636376

O. G. Smolyanov

Publication date: 30 June 2009

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Schrödinger equationevolutionary equationsFeynman path integral

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic equations on manifolds, general theory (58J05) Applications of manifolds of mappings to the sciences (58D30) Stochastic analysis (60H99)

Related Items (11)

Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation ⋮ New method for constructing Chernoff functions ⋮ Solution of a Cauchy problem for a diffusion equation in a Hilbert space by a Feynman formula ⋮ Chernoff approximations of Feller semigroups in Riemannian manifolds ⋮ Solution of the Schrödinger equation with the use of the translation operator ⋮ Feynman and quasi-Feynman formulas for evolution equations ⋮ Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example) ⋮ Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ Explicit formula for evolution semigroup for diffusion in Hilbert space ⋮ Representation of solutions of the Cauchy problem for a one-dimensional Schrödinger equation with a smooth bounded potential by quasi-Feynman formulae

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