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Contents 1 Two pictures of the Dirac equation. 3
, 2008
"... Considering a four dimensional parallelisable manifold, we develop a concept of Diractype tensor equations with wave functions that belong to left ideals of the set of nonhomogeneous complex valued differential forms. ..."
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Considering a four dimensional parallelisable manifold, we develop a concept of Diractype tensor equations with wave functions that belong to left ideals of the set of nonhomogeneous complex valued differential forms.
Noether Symmetries and Conserved Momenta of Dirac Equation in Presymplectic Dynamics
 Int. Math. Forum
"... Presymplectic dynamics, as it arises from the Lagrangian and Hamiltonian dynamics of ‘nonregular ’ mechanical systems, has proved to be a theory whose focus is an implicit differential equation called Dirac equation [3]. A general geometric framework developped for implicit differential equations ..."
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Cited by 2 (2 self)
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Presymplectic dynamics, as it arises from the Lagrangian and Hamiltonian dynamics of ‘nonregular ’ mechanical systems, has proved to be a theory whose focus is an implicit differential equation called Dirac equation [3]. A general geometric framework developped for implicit differential equations
Dirac equation with fractional derivatives of order 2/3
 Fizika B
, 2000
"... In conventional spacetime, a Diraclike equation with fractional derivatives of order 2=3 is introduced. The corresponding γ matrix algebra relates to generalized Cliord algebras: nite representations exist with smallest dimension N = 9. PACS numbers: 03.65.Pm, UDC 539.124 ..."
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Cited by 3 (0 self)
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In conventional spacetime, a Diraclike equation with fractional derivatives of order 2=3 is introduced. The corresponding γ matrix algebra relates to generalized Cliord algebras: nite representations exist with smallest dimension N = 9. PACS numbers: 03.65.Pm, UDC 539.124
The EinsteinDirac Equation On Sasakian 3Manifolds
, 2000
"... . We prove that a Sasakian 3manifold admitting a nontrivial solution to the EinsteinDirac equation has necessarily constant scalar curvature. In the case when this scalar curvature is nonzero, their classification follows then from a result by Th. Friedrich and E.C. Kim. We also prove that a sca ..."
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. We prove that a Sasakian 3manifold admitting a nontrivial solution to the EinsteinDirac equation has necessarily constant scalar curvature. In the case when this scalar curvature is nonzero, their classification follows then from a result by Th. Friedrich and E.C. Kim. We also prove that a
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