ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS

DOI10.1142/S0129055X10003886zbMath1187.82093arXiv0811.1877OpenAlexW2019137754WikidataQ62590919 ScholiaQ62590919MaRDI QIDQ3552527

Martin Kolb, Detlef Dürr, Angelo Bassi

Publication date: 22 April 2010

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

Full work available at URL: https://arxiv.org/abs/0811.1877

zbMATH Keywords

large time behaviorcollapse modelsHilbert space valued diffusionsGhirardi-Rimini-Weber (GRW)-model

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) General quantum mechanics and problems of quantization (81S99) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items

Regularity of solutions to quantum master equations: A stochastic approach ⋮ On a stochastic Trotter formula with application to spontaneous localization models ⋮ Perturbation theory for weak measurements in quantum mechanics, systems with finite-dimensional state space ⋮ The appearance of particle tracks in detectors

Cites Work

• Unnamed Item
• Adiabatic perturbation theory in quantum dynamics
• Numerical integration methods for stochastic wave function equations
• Constructing quantum measurement processes via classical stochastic calculus
• On dissipative stochastic equations in a Hilbert space
• Events and piecewise deterministic dynamics in event-enhanced quantum theory
• Semiclassical analysis for diffusions and stochastic processes
• Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions
• Generalized stochastic Schrödinger equations for state vector collapse
• Unified dynamics for microscopic and macroscopic systems
• Continuous quantum jumps and infinite-dimensional stochastic equations
• Localization and Analytic Properties of the Solutions of the Simplest Quantum Filtering Equation
• Pseudo–spectra, the harmonic oscillator and complex resonances
• Continuous Quantum Measurement: Local and Global Approaches
• On the asymptotic solutions of Belavkin's stochastic wave equation
• Martingale models for quantum state reduction
• SPECTRAL ASYMPTOTICS OF THE NON-SELF-ADJOINT HARMONIC OSCILLATOR
• Collapse models: analysis of the free particle dynamics
• Scattering theory for the Belavkin equation describing a quantum particle with continuously observed coordinate
• REGULARITY OF SOLUTIONS TO LINEAR STOCHASTIC SCHRÖDINGER EQUATIONS
• The Hilbert-space operator formalism within dynamical reduction models
• On the energy increase in space-collapse models
• A density tensor hierarchy for open system dynamics: retrieving the noise

This page was built for publication: ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS