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Construction of quantum diffusions

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4899-6653-7_16openalex-snapshot

Quantum Stochastic Processes

inferredcites →https://doi.org/10.1007/bf01608499openalex-snapshot

On the generators of quantum dynamical semigroups

inferredcites →https://doi.org/10.1007/bf01976044openalex-snapshot

Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae

inferredcites →https://doi.org/10.1007/bfb0044676openalex-snapshot

Theory and Application of Random Fields

inferredcites →https://doi.org/10.1007/bfb0044684openalex-snapshot

Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito's formula

inferredcites →https://doi.org/10.1007/bfb0070306openalex-snapshot

Symmetric Hilbert Spaces and Related Topics

inferredcites →https://doi.org/10.1016/0047-259x(77)90035-5openalex-snapshot

Quantum mechanical Wiener processes

inferredcites →https://doi.org/10.1016/0375-9601(81)90365-0openalex-snapshot

Itô's formula is the chain rule with wick ordering

inferredcites →https://doi.org/10.1016/s0079-8169(08)x6061-1openalex-snapshot

Functional Integration and Quantum Physics

inferredcites →https://doi.org/10.1090/s0002-9947-1956-0076317-8openalex-snapshot

Tensor Algebras Over Hilbert Spaces. I

inferredcites →https://doi.org/10.2977/prims/1195181414openalex-snapshot

Time-Orthogonal Unitary Dilations and Noncommutative Feynman-Kac Formulae, II

inferredcites →https://doi.org/10.2977/prims/1195184017openalex-snapshot

Quantum Stochastic Processes

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/jfan.1996.0015openalex-snapshot

On the Structure of Classical and Quantum Flows

inferred← citeshttps://doi.org/10.1007/978-94-010-0842-6_1openalex-snapshot

A White-Noise Approach to Stochastic Calculus

inferred← citeshttps://doi.org/10.1007/bf00402015openalex-snapshot

Stochastic evolution of Yang-Mills connections on the noncommutative two-torus

inferred← citeshttps://doi.org/10.1007/bf01046766openalex-snapshot

On a class of stochastic flows driven by quantum Brownian motion

inferred← citeshttps://doi.org/10.1007/bf01258530openalex-snapshot

Quantum Ito's formula and stochastic evolutions

inferred← citeshttps://doi.org/10.1007/bfb0074459openalex-snapshot

Dilations of operation valued stochastic processes

inferred← citeshttps://doi.org/10.1007/bfb0076881openalex-snapshot

Quantum stochastic calculus

inferred← citeshttps://doi.org/10.1007/bfb0078052openalex-snapshot

Quantum stochastic parallel transport on non-commutative vector bundles

inferred← citeshttps://doi.org/10.1007/bfb0078053openalex-snapshot

Input and output channels in quantum systems and quantum stochastic differential equations

inferred← citeshttps://doi.org/10.1007/bfb0078055openalex-snapshot

Multidimensional quantum diffusions

inferred← citeshttps://doi.org/10.1007/bfb0078070openalex-snapshot

First exit time: A theory of stopping times in quantum processes

inferred← citeshttps://doi.org/10.1007/bfb0094646openalex-snapshot

Continuous Maassen kernels and the inverse oscillator

inferred← citeshttps://doi.org/10.1007/s10440-007-9175-1openalex-snapshot

Topological Properties of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions

inferred← citeshttps://doi.org/10.1007/s13226-024-00657-6openalex-snapshot

K. R. Parthasarathy: a great mathematician and a master

inferred← citeshttps://doi.org/10.1017/s0021900200040328openalex-snapshot

The passage from random walk to diffusion in quantum probability

inferred← citeshttps://doi.org/10.1023/a:1010675803824openalex-snapshot

On Convergence of One-Step Schemes for Weak Solutions of Quantum Stochastic Differential Equations

inferred← citeshttps://doi.org/10.1023/a:1010719902298openalex-snapshot

A White-Noise Approach to Stochastic Calculus

inferred← citeshttps://doi.org/10.1063/1.533387openalex-snapshot

Algebraic theory of product integrals in quantum stochastic calculus

inferred← citeshttps://doi.org/10.1080/07362990008809684openalex-snapshot

Converging multistep schemes for weak solutions of quantum stochastic differential equations

inferred← citeshttps://doi.org/10.1081/sap-100002103openalex-snapshot

LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED KURZWEIL EQUATIONS

inferred← citeshttps://doi.org/10.1088/0305-4470/16/18/004openalex-snapshot

Stochastic Schrodinger and Heisenberg equations: a martingale problem in quantum stochastic processes

inferred← citeshttps://doi.org/10.1088/0305-4470/20/18/034openalex-snapshot

Quantum stochastic differential equations: an application to the electron shelving effect

inferred← citeshttps://doi.org/10.1088/0305-4470/20/7/024openalex-snapshot

Stochastic evolution of a harmonic oscillator in a photon reservoir

inferred← citeshttps://doi.org/10.1103/physreve.94.042140openalex-snapshot

Memory effect in the upper bound of the heat flux induced by quantum fluctuations

inferred← citeshttps://doi.org/10.1137/1137054openalex-snapshot

Convergence of the Stochastic Quantization Method I

inferred← citeshttps://doi.org/10.1137/s0036142999357312openalex-snapshot

Lagrangian Quadrature Schemes for Computing Weak Solutions of Quantum Stochastic Differential Equations

inferred← citeshttps://doi.org/10.1142/s0217751x22430011openalex-snapshot

Phenomenological models versus deductive models: The stochastic limit of quantum theory

inferred← citeshttps://doi.org/10.1142/s0219025724400174openalex-snapshot

An invitation to some of K. R. Parthasarathy’s writings: Part I

inferred← citeshttps://doi.org/10.1142/s0219025725400028openalex-snapshot

An invitation to some of K. R. Parthasarathy’s writings: Part II

inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/0309102openalex-snapshot

Quantum Stochastic Generators

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