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 4,587 Downloads 6,578 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 6,749 Downloads 11,274 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 772 Downloads 1,941 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 28 Downloads 105 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 350 Downloads 1,848 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 1,081 Downloads 2,096 Views Citations
This article belongs to the Special Issue on Atomic and Molecular Physics
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 4,434 Downloads 6,003 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 802 Downloads 1,558 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 17,942 Downloads 28,732 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 1,305 Downloads 2,216 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 8,023 Downloads 16,229 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 2,016 Downloads 3,048 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 4,963 Downloads 8,692 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 8,317 Downloads 15,033 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 93 Downloads 340 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 7,460 Downloads 17,171 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 6,382 Downloads 13,885 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 1,354 Downloads 7,968 Views Citations
On Some Systems of Word Equations for Automata (Articles)

Nikolai I. Krainukov, Mikhail E. Abramyan, Boris F. Melnikov

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

DOI: 10.4236/jamp.2024.1212265 21 Downloads 134 Views Citations
The Localization of Commutative Bounded BCK-Algebras (Articles)

Dana Piciu, Dan Dorin Tascau

Advances in Pure Mathematics Vol.1 No.6，November 24, 2011

DOI: 10.4236/apm.2011.16066 4,686 Downloads 9,471 Views Citations

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