3 papers
math-ph2005
Quantum Stochastic Differential Equation
V. P. Belavkin, P. Staszewski
A semi-classical non-Hamiltonian model of a spontaneous collapse of unstable quantum system is given. The time evolution of the system becomes non-Hamiltonian at random instants of…
quant-ph2005
Nondemolition observation of a free quantum particle
V. P. Belavkin, P. Staszewski
A stochastic model of a continuous nondemolition observation of a free quantum Brownian motion is presented. The nonlinear stochastic wave equation describing the posterior dynamic…
quant-ph2005
A Quantum Particle Undergoing Continuous Observation
V. P. Belavkin, P. Staszewski
A stochastic model for the continuous nondemolition ohservation of the position of a quantum particle in a potential field and a boson reservoir is given. lt is shown that any Gaus…