The Q-Space Deformed Wave Equation

• Published in: Complexity (New York, N.Y.) Vol. 2022; no. 1
• Main Authors: Elamin, Mahjoub A., Khalifa, Narjess Turki, Altoum, Sami H.
• Format: Journal Article
• Language: English
• Published: Hoboken Hindawi 2022; John Wiley & Sons, Inc; Wiley
• Subjects: Calculus; Combinatorics; Degrees of freedom; Fluid dynamics; Interdisciplinary subjects; Mathematical analysis; Mathematics; Partial differential equations; Quantum mechanics; Quantum physics; Quantum theory; Wave equations

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, w...