The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials
From MaRDI portal
Publication:886525
zbMath1247.81244MaRDI QIDQ886525
Eugene T. Shavgulidze, O. G. Smolyanov
Publication date: 27 June 2007
Published in: Doklady Mathematics (Search for Journal in Brave)
Integral representations of solutions to PDEs (35C15) Path integrals in quantum mechanics (81S40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Initial value problems for second-order parabolic equations (35K15)
Related Items
Feynman integrals of functionals of exponential form with a polynomial exponent ⋮ Infinite-dimensional evolution equations and the representation of their solutions in the form of Feynman integrals ⋮ Infinite-dimensional Schrödinger equations with polynomial potentials and representation of their solutions via Feynman integrals ⋮ Hamiltonian functional integrals representing regularized traces of higher-order differential operators ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations
