Dirac Equation; Jordan Algebra; Quadratic Algebra - Articles

Algebras of Hamieh and Abbas Used in the Dirac Equation (Articles)

Gregory Peter Wene

Journal of Modern Physics Vol.3 No.9, September 24, 2012

DOI: 10.4236/jmp.2012.39120 4,768 Downloads 7,094 Views Citations
Two Dimensional Representation of the Dirac Equation in Non-Associative Algebra (Articles)

Salah Hamieh, Hassan Abbas

Journal of Modern Physics Vol.3 No.2, February 29, 2012

DOI: 10.4236/jmp.2012.32025 6,936 Downloads 11,797 Views Citations
Resolution in the Case of the Hydrogen Atom of an Improved Dirac Equation (Articles)

Claude Daviau, Jacques Bertrand, Raymond Albert Ng

Journal of Modern Physics Vol.11 No.7, July 20, 2020

DOI: 10.4236/jmp.2020.117068 990 Downloads 2,575 Views Citations
Physics in Geometric Algebra Cl_3,0 (Articles)

Jesús Sánchez

Journal of Applied Mathematics and Physics Vol.13 No.4, April 24, 2025

DOI: 10.4236/jamp.2025.134078 137 Downloads 724 Views Citations
Clifford Algebra and Hypercomplex Number as well as Their Applications in Physics (Articles)

Yingqiu Gu

Journal of Applied Mathematics and Physics Vol.10 No.4, April 29, 2022

DOI: 10.4236/jamp.2022.104097 485 Downloads 2,765 Views Citations
One-to-One Map of Dirac Equation between Matrix Algebra and Geometric Algebra Cl_3,0 (Articles)

Jesús Sánchez

Journal of Applied Mathematics and Physics Vol.13 No.9, September 18, 2025

DOI: 10.4236/jamp.2025.139169 65 Downloads 274 Views Citations
Christoffel Symbols and Chiral Properties of the Space-Time Geometry for the Atomic Electron States (Articles)

Claude Daviau, Jacques Bertrand

Journal of Modern Physics Vol.12 No.4, March 18, 2021

DOI: 10.4236/jmp.2021.124033 1,296 Downloads 2,730 Views Citations
This article belongs to the Special Issue on Atomic and Molecular Physics
Generalized Inverses in Jordan Algebras (Articles)

Mustapha Laayouni

Advances in Pure Mathematics Vol.16 No.3, March 2, 2026

DOI: 10.4236/apm.2026.163008 95 Downloads 350 Views Citations
Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory (Articles)

Victor L. Mironov, Sergey V. Mironov

Applied Mathematics Vol.6 No.1, January 8, 2015

DOI: 10.4236/am.2015.61006 4,641 Downloads 6,874 Views Citations
Scientific Community and Remaining Errors, Physics Examples (Articles)

Claude Daviau, Jacques Bertrand

Journal of Modern Physics Vol.9 No.2, January 24, 2018

DOI: 10.4236/jmp.2018.92017 964 Downloads 2,036 Views Citations
The Literature Review of Algebra Learning: Focusing on the Contributions to Students’ Difficulties (Articles)

Xiong Wang

Creative Education Vol.6 No.2, February 9, 2015

DOI: 10.4236/ce.2015.62013 18,475 Downloads 31,085 Views Citations
Towards the Unification, Part 2: Simplified Equations, Covariant Derivative, Photons (Articles)

Claude Daviau, Jacques Bertrand, Dominique Girardot

Journal of Modern Physics Vol.7 No.16, December 30, 2016

DOI: 10.4236/jmp.2016.716207 1,472 Downloads 2,785 Views Citations
Towards the Unification of All Interactions (The First Part: The Spinor Wave) (Articles)

Claude Daviau, Jacques Bertrand, Dominique Girardot

Journal of Modern Physics Vol.7 No.12, August 31, 2016

DOI: 10.4236/jmp.2016.712143 2,175 Downloads 3,591 Views Citations
A New Branch of the Pure Algebra: BCL-Algebras (Articles)

Yonghong Liu

Advances in Pure Mathematics Vol.1 No.5, September 21, 2011

DOI: 10.4236/apm.2011.15054 8,308 Downloads 16,968 Views Citations
Enveloping Lie Algebras of Low Dimensional Leibniz Algebras (Articles)

Massoud Amini, Isamiddin Rakhimov, Seyed Jalal Langari

Applied Mathematics Vol.2 No.8, August 18, 2011

DOI: 10.4236/am.2011.28142 5,180 Downloads 9,200 Views Citations
Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE (Articles)

Sergey Victor Ludkovsky

Advances in Pure Mathematics Vol.2 No.2, March 22, 2012

DOI: 10.4236/apm.2012.22013 8,615 Downloads 15,733 Views Citations
Split-Tetraquaternion Algebra and Applications (Articles)

Grégoire Lutanda Panga

Journal of Applied Mathematics and Physics Vol.12 No.7, July 31, 2024

DOI: 10.4236/jamp.2024.127159 189 Downloads 715 Views Citations
Reformulation of Relativistic Quantum Mechanics Equations with Non-Commutative Sedeons (Articles)

Victor L. Mironov, Sergey V. Mironov

Applied Mathematics Vol.4 No.10C, October 23, 2013

DOI: 10.4236/am.2013.410A3007 7,693 Downloads 17,819 Views Citations
This article belongs to the Special Issue on Advances in Mathematical Physics
Strapdown Navigation Using Geometric Algebra: Screw Blade Algorithm (Articles)

Dimin Wu, Zhengzhi Wang

Positioning Vol.3 No.2, June 4, 2012

DOI: 10.4236/pos.2012.32003 6,627 Downloads 14,524 Views Citations
Comprehensible Technique in Solving Consecutive Number Problems in Algebra (Articles)

Gener Santiago Subia

Journal of Applied Mathematics and Physics Vol.6 No.3, March 8, 2018

DOI: 10.4236/jamp.2018.63041 1,542 Downloads 9,117 Views Citations

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