The spinorial representation of polarized light and Berry phase
@article{Banerjee2011TheSR, title={The spinorial representation of polarized light and Berry phase}, author={Dipti Banerjee}, journal={arXiv: Optics}, year={2011} }
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.
3 Citations
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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…
Quantifying phases in homogenous twisted birefringent medium.
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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.
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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…