The Q-Space Deformed Wave Equation

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...

Full description

Saved in:
Bibliographic Details
Published inComplexity (New York, N.Y.) Vol. 2022; no. 1
Main Authors Elamin, Mahjoub A., Khalifa, Narjess Turki, Altoum, Sami H.
Format Journal Article
LanguageEnglish
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
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1076-2787
1099-0526
DOI:10.1155/2022/8753231