A Future-Input Dependent Path Integral for Quantum Mechanics
arXiv:2110.07168 · doi:10.1016/j.aop.2022.168827
Abstract
We here put forward a new path-integral over Hilbert space and show that it reproduces quantum mechanics exactly. This approach works by optimizing the generating functional under a variation of the final state; it is hence an example of a future-input dependent theory. The benefit of this method is that entangled states appear in the paths directly, and the generating functional can be modified to also include wave-function collapse.
6 pages, no figures