scientific article; zbMATH DE number 927997

DOI<977::AID-MMA808>3.0.CO;2-P 10.1002/(SICI)1099-1476(199608)19:12<977::AID-MMA808>3.0.CO;2-PzbMath0860.35105MaRDI QIDQ4893664

Vladislav V. Kravchenko, Enrique Ramírez de Arellano, Michael V. Shapiro

Publication date: 18 September 1996

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zbMATH Keywords

Dirac equationDirac algebracomplex quaternionsmetaharmonic quaternionic analysistime-harmonic spinor field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Integral representations of solutions to PDEs (35C15) PDEs in connection with quantum mechanics (35Q40) PDEs in connection with relativity and gravitational theory (35Q75) Non-Archimedean function theory (30G06)

Related Items (2)

Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries ⋮ Boundary value problems for Dirac operators and Maxwell's equations in fractal domains

Cites Work

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• Equivalence of Dirac and Maxwell equations and quantum mechanics
• Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations
• On some nonlinear equations generated by Fueter type operators
• On a biquaternionic bag model
• Complex-quaternionic analysis applied to spin–½ massless fields
• Dirac equation and Clifford algebra

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