Convergence of Nelson diffusions

DOI10.1007/BF02102816zbMath0734.60111OpenAlexW1981233797MaRDI QIDQ811043

Andrea Posilicano, Gianfausto Dell'Antonio

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02102816

zbMATH Keywords

Schrödinger equationsstochastic mechanicsNelson diffusions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Other physical applications of random processes (60K40)

Related Items (7)

Lagrangian dynamics for classical, Brownian, and quantum mechanical particles ⋮ Convergence of Nelson diffusions with time-dependent electromagnetic potentials ⋮ Scattering into cones and flux across surfaces in quantum mechanics: A pathwise probabilistic approach ⋮ Entropy chaos and Bose-Einstein condensation ⋮ A connection between quantum dynamics and approximation of Markov diffusions ⋮ Strong Kac’s chaos in the mean-field Bose–Einstein Condensation ⋮ Convergence of symmetric diffusions on Wiener spaces

Cites Work

• Conservative diffusions
• Schrödinger semigroups
• On the Absolute Continuity of Measures Corresponding to Diffusion Type Processes
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