A Future-Input Dependent Path Integral for Quantum Mechanics

Sandro Donadi; Sabine Hossenfelder

doi:10.1016/j.aop.2022.168827

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arXiv · 2110.07168

A Future-Input Dependent Path Integral for Quantum Mechanics

Sandro Donadi·Sabine Hossenfelder

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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.

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Sandro Donadi, Sabine Hossenfelder. 2021-10-14. A Future-Input Dependent Path Integral for Quantum Mechanics. https://doi.org/10.1016/j.aop.2022.168827

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