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cwf:conditional_evolution_equation

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cwf:conditional_evolution_equation [2016/10/27 22:45] – markuscwf:conditional_evolution_equation [2017/01/19 16:12] (current) – markus
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 The $A$ and $B$ still include, through $\psi'$ and $\psi''$, the full wave function $\Psi$ on the whole configuration space, so this is not yet an autonomous evolution equation for the conditional wave function. But there is actually a way how to eliminate $\Psi$ and give separate evolution equations for the potentials if only in the form of an infinite [[potential network]] or directly with a [[coupled system]] of $\psi,\psi',\psi''$ etc. The $A$ and $B$ still include, through $\psi'$ and $\psi''$, the full wave function $\Psi$ on the whole configuration space, so this is not yet an autonomous evolution equation for the conditional wave function. But there is actually a way how to eliminate $\Psi$ and give separate evolution equations for the potentials if only in the form of an infinite [[potential network]] or directly with a [[coupled system]] of $\psi,\psi',\psi''$ etc.
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 +If the same treatment is //vice versa// employed for the subsystem $Y$, taking the Bohmian trajectory $x = X(t)$ to accomodate for influences of the subsystem $X$, the resulting approximation scheme is called "Bohmian Double Semi-Quantum (BDSQ)" approximation in [(:cite:cwf:norsen2016)].
cwf/conditional_evolution_equation.1477601144.txt.gz · Last modified: 2016/10/27 22:45 by markus
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