# Non-separable wave evolution equations in quantum kinetics

Source: [Non-separable wave evolution equations in quantum kinetics](<https://www.sota2.com/research/paper/68fa47fb1e209131ce92c2bd>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:36:35.629Z

Authors: C Dedes

Published: 2024-02-01T17:43:07.000Z

## Abstract

A non-separable wave-like integro-differential equation for the time evolution of the Wigner distribution function in phase space is educed from the corresponding separable kinetic equation. It is shown that it leads to non-local dispersion effects that may involve complex group velocities and also display non-unitary features as entropy production. By employing the quantum hydrodynamical description a non-local evolution wave equation is also derived by synthesizing the Hamilton-Jacobi equation with that of continuity, which predicts the generation of quadrupole quantum effects in the propagation of the spatial probability density. Extension of the formalism for a boson scalar field is also presented along with a brief commentary on the issue of irreversibility.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2403.12974>)

[PDF](<https://arxiv.org/pdf/2403.12974.pdf>)