# A generalized time-dependent relativistic wave equation

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In a Riemannï¿½Cartan space-time U4 the minimally coupled massive spin-S Dirac equations are subject to constraints for all S> 1/2 . One may seek to modify these equations by the inclusion of appropriate supplementary terms a, ï¿½ (indices suppressed) in such a way that the modified...

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In previous work, Diracï¿½s constraint mechanics and supersymmetry were used to construct two-body Dirac equations for particles interacting through world scalar and vector potentials. The resulting compatible 16-component wave equations, S1?=?51(?1ï¿½(p1-A1) +m1+S1)?=0,...

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Noncommutative integration of the Dirac massive and massless equations is performed in a four-dimensional flat space and in the de Sitter space of arbitrary signature. A new class of rigorous solutions of the Dirac equation is constructed in these spaces. The properties of the solutions obtained...

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With the help of perturbation theory the asymptotic expansions (at small and large internuclear distances R) of the eigenvalues (potential curves) E(R) of the two-Coulomb-centre problem in 2+1 dimensions are obtained. We compare the results obtained with the data from similar approximation for...

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We discuss in detail the general-relativistically covariant Dirac equation derived by Fock for a particle of rest mass m and charge e in an electromagnetic potential Ai, [iÎ³k(âˆ‚k - Î“k - ieAk) m]Î¨ = 0. The spinorial affine connection is given in terms of the spin connection...

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AbstractÂ Â We use matrix-differential-operators and Fourier expansion to solve the Maxwell equations and the free Dirac equation for any given initial conditions.

- Planar Dirac diffusion. De Leo, Stefano; Rotelli, Pietro // European Physical Journal C -- Particles & Fields;Sep2009, Vol. 63 Issue 1, p157
We present the results of the planar diffusion of a Dirac particle by step and barrier potentials, when the incoming wave impinges at an arbitrary angle with the potential. Except for right-angle incidence this process is characterized by the appearance of spin flip terms. For the step...