Non-Abelian Gauge Configuration with a Magnetic Field Concentrated at a Point

Non-Abelian Gauge Configuration with a Magnetic Field Concentrated at a Point

Abstruct A specific SU(2) gauge configuration yielding a magnetic field concentrated at a point is investigated. Its relation to the Aharonov-Bohm gauge potential and its cohomological meaning in a three dimensional space are clarified. Quantum mechanics of a spinning particle in such a gauge configuration is briefly discussed.

Collective States of Non-Abelian Quasiparticles in a Magnetic Field

Steady Mixed Convection Flow of Water at 4◦C Along A Non-Isothermal Vertical Moving Plate with Transverse Magnetic Field

The non-Abelian State-Dependent Gauge Field in Optics

The appearance of the geometrodynamical version of the Pancharantam phase factor in the polarization state of the monochromatic beam was systematically discarded during the topological phases measurements has been shown. It means that not only topological structure of the transformation manifolds has the physical significance but the metric structure of the coherent state space of its realizati...

Non-Abelian gauge field theory in scale relativity

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a nondifferentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to the principle of relativity that has been extended to scales, these scale variables can themselves become functions of the space-time coordinates. Therefore, a...