Wignerian symplectic covariance approach to the interaction-time problem.

ABSTRACT: The concept of the symplectic covariance property of the Wigner distribution function and the symplectic invariance of the Wigner-Rényi entropies has been leveraged to estimate the interaction time of the moving quantum state in the presence of an absolutely integrable time-dependent potential. For this study, the considered scattering centre is represented initially by the Gaussian barrier. Two modifications of this potential energy are considered: a sudden change from barrier to barrier and from barrier to well. The scattering state is prepared in the form of a Schrödinger cat, and the Moyal equation governs its further time evolution. The whole analysis of the considered scattering problem is conducted in the above-barrier regime using the phase-space representation of quantum theory. T

SUBMITTER: Wozniak D 

PROVIDER: S-EPMC11682440 | biostudies-literature | 2024 Dec

REPOSITORIES: biostudies-literature