2024/09/06 by Alex E. Bernardini, Orfeu Bertolami, Bernardini, Alex E. +1 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2409.04291
openalex publication_date 2024/09/06 · openalex created_date 2024/10/21 · openalex updated_date 2026/07/28
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 p2 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 non-linear 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.