The Q-Space Deformed Wave Equation. (22nd July 2022)

• Record Type: Journal Article
• Authors: Elamin, Mahjoub A.; Khalifa, Narjess Turki; Altoum, Sami H.
• Other Names: Munoz-Pacheco Jesus M. Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-07-22
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/8753231
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : Let q ∈ 0, 1 . We know that, when q tends to 1, we recover "classical" quantum mechanics. However, when q is not equal to one, we have a theory of quantum mechanics in a spacetime, i.e., a theory where the vacuum has a nonzero energy density. As a q -analogue on the space variable of the wave equation, we introduce the q -space wave equation. Solutions of these equations are given for q ∈ 0, 1 and for q ⟶ 0 . Since some states have more spin degrees of freedom than the physical particle has, the q -space wave equations remove the additional degrees of freedom.