Add to ORKGA model of a system driven by quantum white noise with singular quadratic self--interaction is considered and an exact solution for the evolution operator is found. It is shown that the renormalized square of the squeezed classical white noise is equivalent to the quantum Poisson process. We describe how equations driven by nonlinear functionals of white noise can be derived in nonlinear quantum optics by using the stochastic approximation
We present a detailed derivation of the master equation describing a general time-dependent quantum ...
From the operator algebraic approach to stationary (quantum) Markov processes there has emerged an a...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...
During the past 15 years a new technique, called the stochastic limit of quantum theory, has been a...
During the past 15 years a new technique, called the stochastic limit of quantum theory, has been a...
The main aim of the paper is to present the analytical solution of the Belavkin quantum filtering eq...
We obtain a solution of quantum stochastic differential equation with squeezing noises (covariance i...
We prove the It\^{o} multiplication table for the stochastic differentials of the universal envelopi...
The introduction of a new (multiplicative) renormalization procedure leads to a Lie algebra for the...
Well suited as a textbook in the emerging field of stochastic limit, which is a new mathematical tec...
We investigate the properties of the Wick square of Gaussian white noises through a new method to pe...
The white noise approach to the investigation of the dynamics of a quantum particle interacting with...
The basic ideas of the stochastic limit for a quantum system with discrete energy spectrum, coupled ...
We focus on the dynamics of quantum systems under classical and quantum noise. Classical noise is de...
In the present paper, the basic ideas of the {\it stochastic limit of quantum theory} are applied ...
We present a detailed derivation of the master equation describing a general time-dependent quantum ...
From the operator algebraic approach to stationary (quantum) Markov processes there has emerged an a...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...
During the past 15 years a new technique, called the stochastic limit of quantum theory, has been a...
During the past 15 years a new technique, called the stochastic limit of quantum theory, has been a...
The main aim of the paper is to present the analytical solution of the Belavkin quantum filtering eq...
We obtain a solution of quantum stochastic differential equation with squeezing noises (covariance i...
We prove the It\^{o} multiplication table for the stochastic differentials of the universal envelopi...
The introduction of a new (multiplicative) renormalization procedure leads to a Lie algebra for the...
Well suited as a textbook in the emerging field of stochastic limit, which is a new mathematical tec...
We investigate the properties of the Wick square of Gaussian white noises through a new method to pe...
The white noise approach to the investigation of the dynamics of a quantum particle interacting with...
The basic ideas of the stochastic limit for a quantum system with discrete energy spectrum, coupled ...
We focus on the dynamics of quantum systems under classical and quantum noise. Classical noise is de...
In the present paper, the basic ideas of the {\it stochastic limit of quantum theory} are applied ...
We present a detailed derivation of the master equation describing a general time-dependent quantum ...
From the operator algebraic approach to stationary (quantum) Markov processes there has emerged an a...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...