Scattering into cones and flux across surfaces in quantum mechanics: A pathwise probabilistic approach

DOI10.1063/1.1504884zbMath1060.81512arXivmath-ph/0207042OpenAlexW2029428731MaRDI QIDQ4832800

Stefania Ugolini, Andrea Posilicano

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0207042

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Cites Work

• Conservative diffusions
• Local time decay of high energy scattering states for the Schrödinger equation
• Convergence of Nelson diffusions
• Stochastic mechanics of systems with zero potential
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Mapping properties of wave and scattering operators for two-body Schrödinger operators
• Quantum equilibrium and the origin of absolute uncertainty
• On the quantum probability flux through surfaces.
• On the global existence of Bohmian mechanics
• On the flux-across-surfaces theorem
• On the Absolute Continuity of Measures Corresponding to Diffusion Type Processes
• Flux and scattering into cones for long range and singular potentials
• The flux-across-surfaces theorem for short range potentials and wave functions without energy cutoffs

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