Non-separable wave evolution equations in quantum kinetics

• URL: http://arxiv.org/abs/2403.12974v1
• Date: Thu, 1 Feb 2024 17:43:07 GMT
• Title: Non-separable wave evolution equations in quantum kinetics
• Authors: C Dedes,
• Abstract summary: Non-separable wave-like integro-differential equation for time evolution of Wigner distribution function is educed. Non-local dispersion effects may involve complex group velocities and also display non-unitary features as entropy production.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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