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Extended Weyl-Wigner phase-space framework for nonlinear systems: Typical and modified prey-predator-like dynamics

Title
Extended Weyl-Wigner phase-space framework for nonlinear systems: Typical and modified prey-predator-like dynamics
Type
Article in International Scientific Journal
Year
2024
Authors
Bernardini, AE
(Author)
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Bertolami, O
(Author)
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Title: PHYSICAL REVIEW EImported from Authenticus Search for Journal Publications
Vol. 110
ISSN: 2470-0045
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Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
Publicação em Scopus Scopus - 0 Citations
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Authenticus ID: P-017-3P7
Abstract (EN): The extension of the phase-space Weyl-Wigner quantum mechanics to the subset of Hamiltonians in the form of H(q, p) = K(p) + V (q) [with K(p) replacing single p(2) contributions] is revisited. Deviations from classical and stationary profiles are identified in terms of Wigner functions and Wigner currents for Gaussian and gamma/Laplacian distribution ensembles. The procedure is successful in accounting for the exact pattern of quantum fluctuations when compared with the classical phase-space pattern. General results are then specialized to some specific Hamiltonians revealing nonlinear dynamics, and suggest a novel algorithm to treat quantum modifications mapped by Wigner currents. Our analysis shows that the framework encompasses, for instance, the quantized prey-predator-like scenarios subjected to statistical constraints.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 13
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