Feynman averaging of semigroups generated by Schrödinger operators
From MaRDI portal
Publication:3174724
DOI10.1142/S0219025718500108zbMath1391.35338OpenAlexW2804485815MaRDI QIDQ3174724
V. Zh. Sakbaev, L. A. Borisov, Yu. N. Orlov
Publication date: 18 July 2018
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025718500108
Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40)
Related Items (7)
New method for constructing Chernoff functions ⋮ Chernoff approximations of Feller semigroups in Riemannian manifolds ⋮ The Method of Chernoff Approximation ⋮ Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups ⋮ Analogs of the Lebesgue measure and diffusion in a Hilbert space ⋮ Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure ⋮ Feynman formulas and the law of large numbers for random one-parameter semigroups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian
- Feynman formulas as a method of averaging random Hamiltonians
- Non-Gaussian Lagrangian Feynman-Kac formulas
- Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
- On the variational description of the trajectories of averaging quantum dynamical maps
- Note on product formulas for operator semigroups
- STOCHASTIC PROPERTIES OF DEGENERATED QUANTUM SYSTEMS
- Hamiltonian Feynman path integrals via the Chernoff formula
- Feynman Integrals and the Schrödinger Equation
- Space-Time Approach to Non-Relativistic Quantum Mechanics
- Finitely Additive Measures
This page was built for publication: Feynman averaging of semigroups generated by Schrödinger operators