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  1. International Journal of Theoretical Physics
  2. International Journal of Theoretical Physics : Volume 37
  3. International Journal of Theoretical Physics : Volume 37, Issue 9, September 1998
  4. Complex Geometry and Dirac Equation
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International Journal of Theoretical Physics : Volume 56
International Journal of Theoretical Physics : Volume 55
International Journal of Theoretical Physics : Volume 54
International Journal of Theoretical Physics : Volume 53
International Journal of Theoretical Physics : Volume 52
International Journal of Theoretical Physics : Volume 51
International Journal of Theoretical Physics : Volume 50
International Journal of Theoretical Physics : Volume 49
International Journal of Theoretical Physics : Volume 48
International Journal of Theoretical Physics : Volume 47
International Journal of Theoretical Physics : Volume 46
International Journal of Theoretical Physics : Volume 45
International Journal of Theoretical Physics : Volume 44
International Journal of Theoretical Physics : Volume 43
International Journal of Theoretical Physics : Volume 42
International Journal of Theoretical Physics : Volume 41
International Journal of Theoretical Physics : Volume 40
International Journal of Theoretical Physics : Volume 39
International Journal of Theoretical Physics : Volume 38
International Journal of Theoretical Physics : Volume 37
International Journal of Theoretical Physics : Volume 37, Issue 12, December 1998
International Journal of Theoretical Physics : Volume 37, Issue 11, November 1998
International Journal of Theoretical Physics : Volume 37, Issue 10, October 1998
International Journal of Theoretical Physics : Volume 37, Issue 9, September 1998
Quantum Logics and Convex Spaces
External-Internal Group Quotient Structure for the Standard Model in Analogy to General Relativity
Eigenvectors of Backwardshift on a Deformed Hilbert Space
Topological Quantization of Magnetic Monopoles and Their Bifurcation Theory
Time Machines and the Breakdown of Unitarity
Jaynes-Cummings Model and Trapping of Atoms
Star-Deformation of the Infinite Oscillator Algebra and the Realization of Both q-Deformed Centerless Virasoro and SUq(2) Algebras
String Cosmology with Brans–Dicke Theory in Higher Dimensional Space-Time
Complex Geometry and Dirac Equation
Two-State Paramagnetism Induced by Tsallis and Renyi Statistics
Alternative Approach to the Concept of Shape Invariance in Quantum Mechanics
Multiple Soliton-Like Solutions for (2 + 1)-Dimensional Dispersive Long-Wave Equations
Lagrangian Structure of the Two-Dimensional Lotka–Volterra System
International Journal of Theoretical Physics : Volume 37, Issue 8, August 1998
International Journal of Theoretical Physics : Volume 37, Issue 7, July 1998
International Journal of Theoretical Physics : Volume 37, Issue 6, June 1998
International Journal of Theoretical Physics : Volume 37, Issue 5, May 1998
International Journal of Theoretical Physics : Volume 37, Issue 4, April 1998
International Journal of Theoretical Physics : Volume 37, Issue 3, March 1998
International Journal of Theoretical Physics : Volume 37, Issue 2, February 1998
International Journal of Theoretical Physics : Volume 37, Issue 1, January 1998
International Journal of Theoretical Physics : Volume 36

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Complex Geometry and Dirac Equation

Content Provider Springer Nature Link
Author Leo, Stefa De Rodrigues, Waldyr A. Vaz, Jayme
Copyright Year 1998
Abstract Complex geometry represents a fundamentalingredient in the formulation of the Dirac equation bythe Clifford algebra. The choice of appropriate complexgeometries is strictly related to the geometricinterpretation of the complex imaginary unit $$i = \sqrt { - 1} $$ . We discuss two possibilities which appearin the multivector algebra approach: theσ$_{123}$ and σ$_{21}$ complexgeometries. Our formalism provides a set of rules which allows an immediate translation between thecomplex standard Dirac theory and its version withingeometric algebra. The problem concerning a doublegeometric interpretation for the complex imaginary unit $$i = \sqrt { - 1} $$ is also discussed.
Starting Page 2415
Ending Page 2431
Page Count 17
File Format PDF
ISSN 00207748
Journal International Journal of Theoretical Physics
Volume Number 37
Issue Number 9
e-ISSN 15729575
Language English
Publisher Kluwer Academic Publishers-Plenum Publishers
Publisher Date 1998-01-01
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type Text
Resource Type Article
Subject Physics and Astronomy Mathematics
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