8 papers
Spinor superalgebra: Towards a theory for higher spin particles
A. D. Alhaidari
We define a superalgebra S2(N/2) as a Z2 graded algebra of dimension 2N+3, where N is a positive, odd integer. The even component is a three-dimensional abelian subalgebra, while t…
Enlarging the class of exactly solvable nonrelativistic problems
A. D. Alhaidari
We lift the constraint of a diagonal representation of the Hamiltonian by searching for square integrable bases that support a tridiagonal matrix representation of the wave operato…
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)…
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…
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…
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…