Finite-time stochastic reduction models

Details Finite-time stochastic reduction models Finite-time stochastic reduction models

2005-03-30

arxiv.org/abs/quant-ph/0503231v1

Journal of Mathematical Physics 46, 082101 (2005)

Physics

Quantum Physics

4 Pages

Scientific paper

10.1063/1.1990108

A new energy-based stochastic extension of the Schrodinger equation for which the wave function collapses after the passage of a finite amount of time is proposed. An exact closed-form solution to the dynamical equation, valid for all finite-dimensional quantum systems, is presented and used to verify explicitly that reduction of the state vector to an energy eigenstate occurs. A time-change technique is introduced to construct a `clock' variable that relates the asymptotic and the finite-time collapse models by means of a nonlinear transformation.

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