Pavon, Michele (Univ. of Padova)

A Stochastic Control Problem Connected to the Measurement Process in Stochastic Mechanics

Scheduled for presentation during the Regular Session "Quantum Systems" (ThP04), Thursday, July 27, 2006, 16:35−17:00, Room K

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

Continuing the research initiated in M. Pavon, J. Math. Physics, vol. 40 (1999), 5565-5577, we seek to model the wave function collapse within Nelson's stochastic mechanics through a variational mechanism. The stochastic model after a position measurement has been performed is associated to a solution of another Schroedinger equation whose potential function accounts for the interaction of the microscopic system with the measuring apparatus.