Bibliographic Details
| Title: |
Nonseparable wave evolution equations in quantum kinetics. |
| Authors: |
Dedes, C.1 c_dedes@yahoo.com |
| Source: |
Physics Essays. Sep2024, Vol. 37 Issue 3, p215-219. 5p. |
| Subject Terms: |
*INTEGRO-differential equations, *EVOLUTION equations, *WIGNER distribution, *WAVE equation, *PHASE space |
| Abstract (English): |
A nonseparable 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. 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 nonlocal and quadrupole quantum phenomena in the propagation of the spatial probability density. [ABSTRACT FROM AUTHOR] |
| Abstract (French): |
Une equation integro-differentielle ondulatoire non separable pour l'evolution temporelle de la fonction de distribution de Wigner dans r espace des phases est deduite de l'equation cinetique separable correspondante. En utilisant la description hydrodynamique quantique, une equation d'onde dévolution non locale est egalement derivee en synthetisant l'equation de Hamilton-Jacobi avec celle de continuite, qui prédit la generation de phenomenes quantiques non locaux et quadri- polaires dans la propagation de la densite de probabilite spatiale. [ABSTRACT FROM AUTHOR] |
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| Database: |
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