280 research outputs found
Fermat Principle for spinning light
Mimicking the description of spinning particles in General Relativity, the
Fermat Principle is extended to spinning photons. Linearization of the
resulting Papapetrou-Souriau type equations yields the semiclassical model used
recently to derive the ``Optical Hall Effect'' (alias the ``Optical Magnus
Effect'') for polarized light.Comment: Final revised version, to appear in Phys. Rev. D (Rapid
Communication). 5 pages, no figure
Extended Space Duality in the Noncommutative Plane
Non-Commutative (NC) effects in planar quantum mechanics are investigated. We
have constructed a {\it{Master}} model for a noncommutative harmonic oscillator
by embedding it in an extended space, following the Batalin-Tyutin \cite{bt}
prescription. Different gauge choices lead to distinct NC structures, such as
NC coordinates, NC momenta or noncommutativity of a more general kind. In the
present framework, all of these can be studied in a unified and systematic
manner. Thus the dual nature of theories having different forms of
noncommutativity is also revealed.Comment: Slightly enlarged version of only the second part (BT quantization)
of hep-th/0405177. To appear in Phys.Lett.
Anomalous Hall Effect in non-commutative mechanics
The anomalous velocity term in the semiclassical model of a Bloch electron
deviates the trajectory from the conventional one. When the Berry curvature
(alias noncommutative parameter) is a monopole in momentum space as found
recently in some ferromagnetic semiconductors while observing the anomalous
Hall effect, we get a transverse shift, similar to that in the optical Hall
effect.Comment: 4 pages. A figure added. To be published in Phys. Lett.
- …