SYMMETRIC DIFFERENTIATION AND HAMILTONIAN OF A QUANTUM STOCHASTIC PROCESS

DOI10.1142/S021902570500186XzbMath1071.81075MaRDI QIDQ4673125

Wilhelm von Waldenfels

Publication date: 29 April 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

one-parameter semigroupsgeneralized functionsquantum stochastic processessymmetric differentiation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Quantum stochastic calculus (81S25) Stochastic integral equations (60H20) Systems of linear integral equations (45F99)

Related Items (4)

Quantum Stratonovich calculus and the quantum Wong-Zakai theorem ⋮ Extended weak coupling limit for Pauli-Fierz operators ⋮ The singular coupling limit for a simple pure number process ⋮ On the Hamiltonian of a class of quantum stochastic processes

Cites Work

• Causal structure of quantum stochastic integrators
• Quantum and non-causal stochastic calculus
• On quantum stochastic differential equations with unbounded coefficients
• Quantum Stochastic Differential Equation is Unitarily Equivalent to a Symmetric Boundary Value Problem in Fock Space
• NOISE AND DISSIPATION IN QUANTUM THEORY
• The Hamiltonian operator associated with some quantum stochastic evolutions

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