The Vladimirov operator with variable coefficients on finite adeles and the Feynman formulas for the Schrödinger equation
R Urban - Journal of Mathematical Physics, 2024 - pubs.aip.org
… This way we get Hamiltonian Feynman formula, ie, the iterated … (Theorem VII.1) and
Lagrangian Feynman formula, ie, the iterated … perturbed generator and additive perturbations of …
Lagrangian Feynman formula, ie, the iterated … perturbed generator and additive perturbations of …
Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation
ID Remizov - Potential Analysis, 2020 - Springer
… ] to find an explicit formula for the resolving C0-semigroup and thus … is called a Lagrangian
Feynman formula if E is a … the equation ut = Lu; it is called a Hamiltonian Feynman formula if E …
Feynman formula if E is a … the equation ut = Lu; it is called a Hamiltonian Feynman formula if E …
On Hilbert's sixth problem
BRF Jefferies - arXiv preprint arXiv:2204.07257, 2022 - arxiv.org
… Feynman diagrams describe terms in the perturbation series … The Feynman-Kac formula
is the fruit of this observation. … For a Feller process, S is a weak*-continuous semigroup of …
is the fruit of this observation. … For a Feller process, S is a weak*-continuous semigroup of …
A quick probability-oriented introduction to operator splitting methods
MB Vovchanskyi - arXiv preprint arXiv:2401.00123, 2023 - arxiv.org
… are behind some results about approximations of Feller … original semigroup as the limit of
iterated integrals wrt some finite… ]) here) is called the Feynman formula [309]11 and presents an …
iterated integrals wrt some finite… ]) here) is called the Feynman formula [309]11 and presents an …
Large deviations principle via Malliavin calculus for the Navier–Stokes system driven by a degenerate white-in-time noise
V Nersesyan, X Peng, L Xu - Journal of Differential Equations, 2023 - Elsevier
… of the Fourier modes directly perturbed by the noise. Under the … to a class of stochastic
damped Hamiltonian systems. … Feller property from a gradient estimate for the Feynman–Kac …
damped Hamiltonian systems. … Feller property from a gradient estimate for the Feynman–Kac …
[PDF][PDF] Quantum mechanics for probabilists
S Jansen - 2021 - mathematik.uni-muenchen.de
… -time Markov processes, the Feller-Dynkin processes. The unitary … The Feynman-Kac formula
provides a representation of the … The action functional enters the Lagrangian formulation of …
provides a representation of the … The action functional enters the Lagrangian formulation of …
Analogs of the Lebesgue Measure and Diffusion in a Hilbert Space
VZ Sakbaev, DV Zavadsky - International Journal of Theoretical Physics, 2021 - Springer
… For this purpose we analyze the Feynman averaging (see [2, 11]) in context … certain conditions)
to a semigroup, which is called the generalized expected value of the random semigroup. …
to a semigroup, which is called the generalized expected value of the random semigroup. …
Optimization of dynamic objective functions using path integrals
P Pramanik - 2021 - search.proquest.com
… Feynman-Kac formula yields a special set of HJB equations … Lagrangian multiplier λ, we
construct a quantum Lagrangian … small stochastic perturbations, the movement of its share will …
construct a quantum Lagrangian … small stochastic perturbations, the movement of its share will …
Compositions of Random Processes in a Hilbert Space and Its Limit Distribution
YN Orlov, VZ Sakbaev, EV Shmidt - Lobachevskii Journal of Mathematics, 2023 - Springer
… square integrable with respect to some measure on the Hilbert … Feynman–Kac formula for
the perturbation of the semigroup of … We denote by \(\mathcal{X}\) some locally convex space of …
the perturbation of the semigroup of … We denote by \(\mathcal{X}\) some locally convex space of …
Local large deviations for randomly forced nonlinear wave equations with localized damping
Y Chen, Z Liu, S Xiang, Z Zhang - arXiv preprint arXiv:2409.11717, 2024 - arxiv.org
… for locally damped nonlinear wave equations perturbed by a bounded … LDP for Lagrangian
trajectories of the Navier–Stokes system. … of the Feynman–Kac semigroups. From now on, QV …
trajectories of the Navier–Stokes system. … of the Feynman–Kac semigroups. From now on, QV …