On the existence of a class of stationary quantum stochastic processes
J. T. Lewis, L. C. Thomas (1975)
Annales de l'I.H.P. Physique théorique
Similarity:
J. T. Lewis, L. C. Thomas (1975)
Annales de l'I.H.P. Physique théorique
Similarity:
Amosov, G.G. (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Jürgen Hellmich, Claus Köstler, Burkhard Kümmerer (1998)
Banach Center Publications
Similarity:
From the operator algebraic approach to stationary (quantum) Markov processes there has emerged an axiomatic definition of quantum white noise. The role of Brownian motion is played by an additive cocycle with respect to its time evolution. In this report we describe some recent work, showing that this general structure already allows a rich theory of stochastic integration and stochastic differential equations. In particular, if a quantum Markov process is represented by a unitary cocycle,...
T. K. Pogany (1989)
Matematički Vesnik
Similarity:
K. Urbanik (1958)
Studia Mathematica
Similarity:
Nicolas Privault (1998)
Banach Center Publications
Similarity:
The aim of this paper is the study of a non-commutative decomposition of the conservation process in quantum stochastic calculus. The probabilistic interpretation of this decomposition uses time changes, in contrast to the spatial shifts used in the interpretation of the creation and annihilation operators on Fock space.
Maria Elvira Mancino (1994)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Michael Schürmann (1991)
Séminaire de probabilités de Strasbourg
Similarity:
Fournier, Nicolas (2006)
Electronic Communications in Probability [electronic only]
Similarity:
A. Plucińska (1971)
Applicationes Mathematicae
Similarity: