# Time in quantum mechanics: A fresh look on quantum hydrodynamics and quantum trajectories

@article{Schild2019TimeIQ, title={Time in quantum mechanics: A fresh look on quantum hydrodynamics and quantum trajectories}, author={Axel Schild}, journal={arXiv: Quantum Physics}, year={2019} }

Quantum hydrodynamics is a formulation of quantum mechanics based on the probability density and flux (current) density of a quantum system. It can be used to define trajectories which allow for a particle-based interpretation of quantum mechanics, commonly known as Bohmian mechanics. However, quantum hydrodynamics rests on the usual time-dependent formulation of quantum mechanics where time appears as a parameter. This parameter describes the correlation of the state of the quantum system with…

## One Citation

The Augmented Jump Chain -- a sparse representation of time-dependent Markov jump processes

- Computer Science, Mathematics
- 2020

A representation of non-autonomous Markov jump processes as autonomous Markov chains on space-time is presented and the so-called augmented jump chain is derived, which provides a useful tool for studying time-dependent dynamics even in high dimensions.

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