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Quantum stochastic calculus

Quantum stochastic calculus is a generalization of stochastic calculus to noncommuting variables. The tools provided by quantum stochastic calculus… 
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Related topics

Related topics

14 relations
Creation and annihilation operatorsExpectation value (quantum mechanics)Hamiltonian (quantum mechanics)Heisenberg picture

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Quantum mechanics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Chaos in de Broglie - Bohm quantum mechanics and the dynamics of quantum relaxation
We discuss the main mechanisms generating chaotic behavior of the quantum trajectories in the de Broglie - Bohm picture of… 
2010
2010
Probability and complex quantum trajectories: Finding the missing links
2010
2010
Dissipative Chaos in Quantum Distributions
We discuss some problems of dissipative chaos for open quantum systemsin the framework of semiclassical and quantum distributions… 
2009
2009
Uniquely defined geometric phase of an open system
Various types of unravelings of Lindblad master equation have been used to define the geometric phase for an open quantum system… 
2006
2006
Weyl’s symbols of Heisenberg operators of canonical coordinates and momenta as quantum characteristics
The knowledge of quantum phase flow induced under Weyl’s association rule by the evolution of Heisenberg operators of canonical… 
2004
2004
Quantum Stochastic Calculus with Maximal Operator Domains 1
Quantum stochastic calculus is extended in a new formulation in which its stochastic integrals achieve their natural and maximal… 
2004
2004
Quantum Stochastic Calculus Applied to Path Spaces over Lie Groups
Quantum stochastic calculus is applied to the proof of Skorokhod and Weitzenbock type identities for functionals of a Lie group… 
2002
2002
The Poisson Process in Quantum Stochastic Calculus
Given a compensated Poisson process $(X_t)_{t \geq 0}$ based on $(\Omega, \mathcal{F}, \mathbb{P})$, the Wiener-Poisson… 
2000
2000
On q-deformed quantum stochastic calculus
In this paper we investigate a quantum stochastic calculus build of creation, annihilation and number of particles operators… 
1998
1998
A matrix formulation of quantum stochastic calculus
We develop the theory of chaos spaces and chaos matrices. A chaos space is a Hilbert space with a fixed, countably-infinite… 
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