Generalized solutions of stationary boundary value problems for biwave equations

DOI10.1134/S0012266122040048zbMath1495.35083OpenAlexW4289546339WikidataQ115248806 ScholiaQ115248806MaRDI QIDQ2164405

L. A. Alekseyeva

Publication date: 15 August 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266122040048

zbMATH Keywords

biquaternion generalizations of Maxwell and Dirac equationsbiquaternion wave equations

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Weak solutions to PDEs (35D30) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Dirac and Maxwell equations in the Clifford and spin-Clifford bundles
• Quantum mechanics: From complex to complexified quaternions
• Newton's laws for a biquaternionic model of the electro-gravimagnetic field, charges, currents, and their interactions
• Biquaternionic wave equations and the properties of their generalized solutions
• Biquaternions algebra and its applications by solving of some theoretical physics equations
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