Structure and properties of Hughston’s stochastic extension of the Schrödinger equation

DOI10.1063/1.533255zbMath0987.81048arXivquant-ph/9909026OpenAlexW3099256222MaRDI QIDQ2737948

Stephen L. Adler, Lawrence P. Horwitz

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9909026

zbMATH Keywords

density matrixmanifestly unitary stochastic evolutionstate vector collapsestochastic differential equation on projective Hilbert space

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15)

Related Items

Lévy models for collapse of the wave function, Dynamical reduction models, On observation of position in quantum theory, On Doob h-transformations for finite-time quantum state reduction, From quantum stochastic differential equations to Gisin-Percival state diffusion, Time-convergent random matrices from mean-field pinned interacting eigenvalues, A mathematical characterization of quantum Gaussian stochastic evolution schemes, Decoherence and CPT violation in a stringy model of space-time foam, Stochastic sequential reduction of commutative Hamiltonians, Geometric quantum mechanics, On Diósi-Penrose criterion of gravity-induced quantum collapse, Prerequisites for a consistent framework of quantum gravity, Stochastic Schrödinger evolution over piecewise enlarged filtrations

Cites Work

• Unified dynamics for microscopic and macroscopic systems
• Geometry of stochastic state vector reduction
• Primary state diffusion
• Corrections to the emergent canonical commutation relations arising in the statistical mechanics of matrix models