Results 1 to 10 of about 28 (28)

A q-deformation of the Gauss distribution [PDF]

, 1995
The q-deformed commutation relation aa \Gamma qa a = 11 for the harmonic oscillator is considered with q 2 [\Gamma1; 1]. An explicit representation generalizing the Bargmann representation of analytic functions on the complex plane is constructed ...
Hans Maassen, Maassen, J.D.M., Hans Van Leeuwen, Leeuwen, J.H.M. van   +3 more
core   +1 more source

On Markovian cocycle perturbations in classical and quantum probability

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 54, Page 3443-3467, 2003., 2003
We introduce Markovian cocycle perturbations of the groups of transformations associated with classical and quantum stochastic processes with stationary increments, which are characterized by a localization of the perturbation to the algebra of events of the past. The Markovian cocycle perturbations of the Kolmogorov flows associated with the classical
G. G. Amosov
wiley   +1 more source

Theory of Quantum Probability [PDF]

, 2001
In this article, we give the axiom of the theory of quantum probability as a specialization of Masani's theory of orthogonally scattered measures [11]. Then we mention the basic notions and properties of quantum probability.
1722, 60445/profile-ja.html, 30035688, 伊東, 由文, Ito, Yoshifumi, イトウ, ヨシフミ   +5 more
core  

Existence, Uniqueness and stability of Mild Solution of Lipschitzian Quantum Stochastic Differential Equations [PDF]

, 2015
We introduce the concept of a mild solution of Lipschitzian quan-tum stochastic di_erential equations (QSDEs). Results on existence, uniqueness and stability of mild solution of QSDEs are established.
Agarana, M. C., Agboola, O.O., Bishop, S.A., Anake, T. A., Oghonyon, J. G.   +4 more
core  

Chaotic Kabanov formula for the Azéma martingales

, 2000
We derive the chaotic expansion of the product of n-th and first order multiple stochastic integrals with respect to certain normal martingales. This is done by application of the classical and quantum product formulas for multiple stochastic integrals ...
J.L. Solé, N. Privault, J. Vives
core  

A Transverse Hamiltonian Approach to Infinitesimal Perturbation Analysis of Quantum Stochastic Systems. [PDF]

Entropy (Basel), 2023
Vladimirov IG.
europepmc   +1 more source

Higher-Dimensional Quantum Walk in Terms of Quantum Bernoulli Noises. [PDF]

Entropy (Basel), 2020
Wang C, Wang C.
europepmc   +1 more source

Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]

Probab Theory Relat Fields
De Vecchi F, Fresta L, Gordina M, Gubinelli M.   +3 more
europepmc   +1 more source

An Introduction to Quantum Filtering

SIAM Journal on Control and Optimization, 2007
Luc Bouten, Ramon Van Handel, Matthew R James   +2 more
exaly  

Mild Solutions of Quantum Stochastic Differential Equations

Electronic Communications in Probability, 2000
Franco Fagnola, Stephen J Wills
exaly