A New Wave Equation For a Continuous Nondemolition Measurement
Quantum Physics
2007-05-23 v1
Abstract
A stochastic model for nondemolition continuous measurement in a quantum system is given. It is shown that the posterior dynamics, including a continuous collapse of the wave function, is described by a nonlinear stochastic wave equation. For a particle in an electromagnetic field it reduces the Schroedinger equation with extra imaginary stochastic potentials.
Cite
@article{arxiv.quant-ph/0512136,
title = {A New Wave Equation For a Continuous Nondemolition Measurement},
author = {V. P. Belavkin},
journal= {arXiv preprint arXiv:quant-ph/0512136},
year = {2007}
}
Comments
7 pages. See also related papers at http://www.maths.nott.ac.uk/personal/vpb/research/evo_equ.html and http://www.maths.nott.ac.uk/personal/vpb/research/fil_con.html