QUANTUM TANAKA FORMULA IN TERMS OF QUANTUM BROWNIAN MOTION

DOI10.1017/S0004972710001954zbMath1218.81072OpenAlexW2095821537MaRDI QIDQ3004957

Yulan Zhou, Cai-shi Wang

Publication date: 6 June 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710001954

Mathematics Subject Classification ID

Brownian motion (60J65) Quantum stochastic calculus (81S25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum Ito's formula and stochastic evolutions
• A white noise approach to infinitely divisible distributions on Gel'fand triple
• A characterization of Hida distributions
• A characterization theorem for operators on white noise functionals
• White noise calculus and Fock space
• A filtration of Wick algebra and its application to quantum SDEs
• Analytic characterization for Hilbert-Schmidt operators on Fock space
• Quantum white noises—White noise approach to quantum stochastic calculus
• $\delta $-function of an operator: A white noise approach
• A NEW IDEA TO DEFINE THE δ-FUNCTION OF AN OBSERVABLE IN THE CONTEXT OF WHITE NOISE ANALYSIS
• Quantum cable equations in terms of generalized operators