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...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/8753231 |
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| author | Mahjoub A. Elamin Narjess Turki Khalifa Sami H. Altoum |
| author_facet | Mahjoub A. Elamin Narjess Turki Khalifa Sami H. Altoum |
| author_sort | Mahjoub A. Elamin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1796e110b1674b4c8d6da7a96682bc01 |
| institution | OA Journals |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-1796e110b1674b4c8d6da7a96682bc012025-08-20T02:02:29ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8753231The Q-Space Deformed Wave EquationMahjoub A. Elamin0Narjess Turki Khalifa1Sami H. Altoum2Department of MathematicsDepartment of MathematicsDepartment of MathematicsLet 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.http://dx.doi.org/10.1155/2022/8753231 |
| spellingShingle | Mahjoub A. Elamin Narjess Turki Khalifa Sami H. Altoum The Q-Space Deformed Wave Equation Complexity |
| title | The Q-Space Deformed Wave Equation |
| title_full | The Q-Space Deformed Wave Equation |
| title_fullStr | The Q-Space Deformed Wave Equation |
| title_full_unstemmed | The Q-Space Deformed Wave Equation |
| title_short | The Q-Space Deformed Wave Equation |
| title_sort | q space deformed wave equation |
| url | http://dx.doi.org/10.1155/2022/8753231 |
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