Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Functional Analysis

A Stochastic Differential Equation with Time-Dependent and Unbounded Operator Coefficients

B. V. Rajarama Bhat, Kalyan B. Sinha

Published May 1, 1993• 8 citations
Publisher
DOI
10.1006/jfan.1993.1061

Related papers

Solving quantum stochastic differential equations with unbounded coefficients

Franco Fagnola, Stephen J. Wills

Journal of Functional Analysis•Mar 1, 2003•31 citations

On quantum stochastic differential equations with unbounded coefficients

Franco Fagnola

Probability Theory and Related Fields•Dec 1, 1990•45 citations

Quantum stochastic differential equations and continuous measurements: unbounded coefficients

Ricardo Castro Santis, Alberto Barchielli

arXiv:1001.2826•Reports on Mathematical Physics•Apr 1, 2011•8 citations

Quantum flows associated to master equations in quantum optics

Franco Fagnola, Rolando Rebolledo, C. Saavedra

A stochastic dilation of master equation for a maser is constructed using the technique of quantum stochastic differential equations with unbounded operator coefficients. The associated quantum Markov flow is characterized and turns out to extend a classical birth and death process. Furthermore, the stationary distribution of the aforementioned process, which is connected to the stationary state of the micromaser, is obtained in a closed form.

Journal of Mathematical Physics•Jan 1, 1994•54 citations

A STOCHASTIC ALGEBRAIC-DIFFERENTIAL EQUATION OF THE NEWTON-NELSON TYPE

Yuri E. Gliklikh, Mikhail Yu. Ryazantsev

Journal of Mathematical Sciences•Apr 1, 2024•0 citations

AN ANALYTIC DOUBLE PRODUCT INTEGRAL

R. L. Hudson

Abstract. The double product integral → ← ∏ (1+λ(dA † ⊗dA−dA⊗dA †)) is constructed as a family of unitary operators in double Fock space satisfying quantum stochastic differential equations with unbounded operator coefficients. 1. Introduction. A purely algebraic theory of double product integrals such as → ← ∏ (1 + λ(dA ⊗ dA − dA ⊗ dA †)) [4][9] has been developed based on formal power series in the formal

Quantum Probability and Infinite Dimensional Analysis•Jul 1, 2007•4 citations