Non-separable wave evolution equations in quantum kinetics
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916400456531968 |
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| author | Dedes, C |
| author_facet | Dedes, C |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-separable wave evolution equations in quantum kinetics Dedes, C General Physics Quantum Physics 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. |
| title | Non-separable wave evolution equations in quantum kinetics |
| topic | General Physics Quantum Physics |
| url | https://arxiv.org/abs/2403.12974 |