A REPRESENTATION OF THE BELAVKIN EQUATION VIA PHASE SPACE FEYNMAN PATH INTEGRALS
Sergio A Albeverio, Giuseppina Guatteri, Sonia Mazzucchi
The Belavkin equation, describing the continuous measurement of the momentum of a quantum particle, is studied. The existence and uniqueness of its solution is proved via analytic tools. A stochastic characteristics method is applied. A rigorous representation of the solution by means of an infinite dimensional oscillatory integral (Feynman path integral) defined on the phase space is also given.
Infinite Dimensional Analysis Quantum Probability and Related Topics•Nov 27, 2004•13 citations