From relativistic point of view it has been shown here that a polarized photon can be visualized to give an equivalent spinorial description when the two-component spinor is the eigenvector of $2\times2$ Hermitian, Polarization matrix. The Berry phase of the initial state can be calculated by matrix method as it complete one rotation over a closed path on the Poincare's sphere.

The angular momentum of photons is the key source of quantum information. The transfer angular momentum is possible as circularly polarized light passed through wave plates. The twisted birefringent… Expand

Polarized light passing through twisted special wave plates show entangled state of both SAM and OAM. The variable circular and linear retarders (VCR and VLR) are studied here from the view point of… Expand

The property of linear and circular birefringence at each point of the optical medium has been evaluated here from differential matrix N using the Jones calculus. This matrix lies on the OAM sphere… Expand

The representation of polarized photon, polarization matrix, and birefringent matrix are expressed in the l=1 orbital angular momentum (OAM) sphere where the corresponding GP is OAM dependent.Expand

We review the deﬁnition of geometric quantization, which begins with deﬁning a mathematical framework for the algebra of observables that holds equally well for classical and quantum mechanics. We… Expand