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| cwf:start [2016/11/07 17:12] – markus | cwf:start [2016/11/07 17:15] (current) – markus |
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| This hints towards a concept of one-particle wave functions or the wave function of a subsystem respectively, a concept that quantum mechanics usually prohibits through the effects of entanglement. But by fixing certain coordinates of the many-particle wave function to [[Bohmian trajectory|Bohmian trajectories]] the resulting one-particle [[conditional wave function]] will be determined by a non-unitary and non-linear (already including [[wave function collapse]]), non-autonomous (depending on the full wave function) [[conditional evolution equation]]. This equation incorporates an effective potential origination from the so-called [[potential network]] summing up all effects originating from entanglement to the missing particles. By choosing suitable [[approximations]] an efficient calculation of trajectories is possible. | This hints towards a concept of one-particle wave functions or the wave function of a subsystem respectively, a concept that quantum mechanics usually prohibits through the effects of entanglement. But by fixing certain coordinates of the many-particle wave function to [[Bohmian trajectory|Bohmian trajectories]] the resulting one-particle [[conditional wave function]] will be determined by a non-unitary and non-linear (already including [[wave function collapse]]), non-autonomous (depending on the full wave function) [[conditional evolution equation]]. This equation incorporates an effective potential origination from the so-called [[potential network]] summing up all effects originating from entanglement to the missing particles. By choosing suitable [[approximations]] an efficient calculation of trajectories is possible. |
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| Originally such a scheme was seemingly first proposed by [(:cite:cwf:prezhdo2001)] while in [(:cite:cwf:gindensperger2000)] a very similar idea is employed, where quantum and classical (Bohmian) position lead to a mixed dynamics. | Originally such a scheme was seemingly first proposed by [(:cite:cwf:prezhdo2001)] while in [(:cite:cwf:gindensperger2000)] a very similar idea is employed, where quantum and classical (Bohmian) position lead to a mixed dynamics. In [(:cite:cwf:struyve2015)] the concept is extended to QED and even to quantum gravity. |
