User Tools

Site Tools


cwf:conditional_evolution_equation

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision
Previous revision
cwf:conditional_evolution_equation [2016/10/27 22:35] markuscwf:conditional_evolution_equation [2017/01/19 16:12] (current) markus
Line 26: Line 26:
 where the contributions $A$ and $B$ depend on $\psi$ again making the whole equation non-linear, and further may also be complex thus defining a non-unitary evolution. where the contributions $A$ and $B$ depend on $\psi$ again making the whole equation non-linear, and further may also be complex thus defining a non-unitary evolution.
  
-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]].+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. 
 + 
 +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.1477600526.txt.gz · Last modified: 2016/10/27 22:35 by markus

Except where otherwise noted, content on this wiki is licensed under the following license: CC0 1.0 Universal
CC0 1.0 Universal Donate Powered by PHP Valid HTML5 Valid CSS Driven by DokuWiki