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arXiv:1212.6673 · Reports on Mathematical Physics

Asymptotic stochastic transformations for nonlinear quantum dynamical systems

John Edward Gough

Published Dec 1, 1999• 16 citations
arXivHTMLPDF
DOI
10.1016/s0034-4877(00)87242-0

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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. (c) 2005 American Institute of Physics