Finite-time stochastic reduction models

Dorje C. Brody; Lane P. Hughston

doi:10.1063/1.1990108

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Finite-time stochastic reduction models

Dorje C. Brody·Lane P. Hughston

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Abstract

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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Dorje C. Brody, Lane P. Hughston. 2005-03-30. Finite-time stochastic reduction models. https://doi.org/10.1063/1.1990108

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