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20022004
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hep-th2002

Retraction of "On a theory of half-integral spin particles with gauge invariant coupling to the electromagnetic potential: Towards higher spin QED"

A. D. Alhaidari

The representation of the superalgebra so(2,1) that resulted in the relativistic wave equation (2.1) and Eq. (2.4) is fully reducible. In fact, its even part that lead to Eq. (3.1)…

hep-th2002

Retraction of "Half-integer spin representations of the graded extension of so(2,1) Lie algebra: Spin 3/2 particle in the Dirac-Oscillator potential"

A. D. Alhaidari

The representation of the superalgebra SO(2,1) which is given by Eq. (3.1) and which resulted in the relativistic wave equation (4.1) is fully reducible. In fact, its even part is…

math-ph2002

On the relativistic two-point Green's function

A. D. Alhaidari

Using a recently developed approach for solving the three dimensional Dirac equation with spherical symmetry, we obtain simple representations for the Green's function of the Dirac…

hep-th2002

Mapping of relativistic Green's functions under extended point canonical transformations

A. D. Alhaidari

Given a relativistic two-point Green's function for a spinor system with spherical symmetry we show how to obtain another in the same class by extended point canonical transformati…

hep-ph2002

Reply to 'Comment on "Relativistic shape invariant potentials"'

A. D. Alhaidari

The points raised in the Comment are addressed and except for one error, which will be corrected, the conclusion is that all of our findings are accurate.

hep-th2002

Reply to 'Comment on "Solution of the Relativistic Dirac-Morse Problem"'

A. D. Alhaidari

This combines a reply to the Comment [hep-th/0203067 v1] by A. N. Vaidya and R. de L. Rodrigues with an erratum to our Letter [Phys. Rev. Lett. 87, 210405 (2001)]