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

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Bernardini, AE (Author) Other; Bertolami, O (Author) FCUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: PHYSICAL REVIEW E

Vol. 110

ISSN: 2470-0045

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Other information

Authenticus ID: P-017-3P7

DOI: 10.1103/physreve.110.034218

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