## 145 Citations

A stochastic posterior Schrödinger equation for counting nondemolition measurement

- Physics
- 1990

A stochastic model of the continuous counting nondemolition measurement of photons emitted by an excited atom in a quantum electromagnetic field is given. It is proved that the posterior dynamics of…

A posterior Schrödinger equation for continuous nondemolition measurement

- Physics
- 1990

A continuous model for a nondemolition observation of an atom is given. An equation for the corresponding instrument is found and a stochastic dissipative Schrodinger equation for the unnormalized…

Measurement description by means of a nonlinear Schrodinger equation

- Physics
- 1995

A new general formulation for nonlinear quantum mechanics is discussed. It is shown that a nonlinear deterministic evolution with random variables can model a measurement as a dynamical process.…

A quantum particle under the action of “white noise” type forces

- Physics, Mathematics
- 1993

We obtain the Schrödinger equation for the wave function of a particle interacting with the external field having a potential containing a component of the “white noise” type and the Kolmogorov…

Quantum continual measurements and a posteriori collapse on CCR

- Physics
- 1992

A quantum stochastic model for the Markovian dynamics of an open system under the nondemolition unsharp observation which is continuous in time, is given. A stochastic equation for the posterior…

Linear stochastic wave equations for continuously measured quantum systems.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1994

A derivation of the linear stochastic wave equation from first principles is presented and its physical content is analyzed to discuss here the coupling to Markovian reservoirs appropriate for homodyne, heterodyn, and photon counting measurements.

On the asymptotic solutions of Belavkin's stochastic wave equation

- Physics, Mathematics
- 1992

A posterior dynamics of an observed quantum particle in a quadratic potential is studied. It is proved that Belavkin's stochastic wave equation for the quantum particle with continuously observed 1)…

Randomized Hamiltonian Feynman integrals and Schrödinger-Itô stochastic equations

- Mathematics, Physics
- 2005

In this paper, we consider stochastic Schrodinger equations with two-dimensional white noise. Such equations are used to describe the evolution of an open quantum system undergoing a process of…

Randomized Hamiltonian Feynman integrals and Schrödinger-Itô stochastic equations

- Mathematics, Physics
- 2005

In this paper, we consider stochastic Schrödinger equations with two-dimensional white noise. Such equations are used to describe the evolution of an open quantum system undergoing a process of…

## References

SHOWING 1-10 OF 13 REFERENCES

Non-Demolition Measurement and Control in Quantum Dynamical Systems

- Physics
- 1987

A multi-stage version of the theory of quantum-mechanical measurements and quantum-statistical decisions applied to the non-demolition control problem for quantum objects is developed. It is shown…

Quantum stochastic calculus, operation valued stochastic processes, and continual measurements in quantum mechanics

- Mathematics
- 1985

The physical idea of a continual observation on a quantum system has been recently formalized by means of the concept of operation valued stochastic process (OVSP). In this article, it is shown how…

Quantum Ito's formula and stochastic evolutions

- Mathematics
- 1984

Using only the Boson canonical commutation relations and the Riemann-Lebesgue integral we construct a simple theory of stochastic integrals and differentials with respect to the basic field operator…

Input and output channels in quantum systems and quantum stochastic differential equations

- Physics
- 1988

Non-demolition stochastic calculus in Fock space and nonlinear filtering and control in quantum systems

- Proc of Fourteenth Winter School in Theor PhysStochastic Methods in Mathematics and Physics'
- 1988

Non - demolition stochastic calculus in Fock space and nonlinear filtering and control in quantum systems

- Proc of Fourteenth Winter School in Theor Phys , Karpacz

Non-demolition stochastic calculus in Fock space and nonlinear ltering and control in quantum systems

- Proc of Fourteenth Winter School in Theor Phys, Karpacz
- 1988

Optimal filtering of markov signals with quantum white noise

- Radio Eng Electron Physics
- 1980