Markov processes and generalized Schrödinger equations

DOI10.1063/1.3663205zbMath1272.60054arXiv1107.1337OpenAlexW3103940384MaRDI QIDQ2851783

Andrea Andrisani, Nicola Cufaro Petroni

Publication date: 2 October 2013

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

Full work available at URL: https://arxiv.org/abs/1107.1337

zbMATH Keywords

Dirichlet formsNelson stochastic mechanicsDoob transformationsLévy-Schrödinger equations

Mathematics Subject Classification ID

Brownian motion (60J65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs with randomness, stochastic partial differential equations (35R60) Transition functions, generators and resolvents (60J35) Stochastic mechanics (including stochastic electrodynamics) (81P20) Stationary solutions of functional-differential equations (34K21)

Related Items (3)

Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ A class of Lévy driven SDEs and their explicit invariant measures ⋮ Quantum field theory formulated as a Markov process determined by local configuration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic description of a Bose-Einstein condensate
• Non-symmetric diffusions and related Hamiltonians
• Selfdecomposability and selfsimilarity: a concise primer
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• Lévy–Schrödinger wave packets
• On the dynamics of diffusions and the related general electromagnetic potentials
• One-Parameter Semigroups for Linear Evolution Equations
• Stochastic Volatility for Lévy Processes
• Lévy Processes and Stochastic Calculus
• Generalization of symmetric α-stable Lévy distributions for q>1
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Markov processes and generalized Schrödinger equations