Quantization on a 2-dimensional phase space with a constant curvature tensor

Some properties of the star product of the Weyl type (i.e. associated with the Weyl ordering) are proved. Fedosov construction of the *-product on a 2-dimensional phase spacewith a constant curvature tensor is presented. Eigenvalue equations for momentum p and position q on a 2-dimensional phase space with constant curvature tensors are solved.Comment: 33 pages, LaTeX, Annals of Physics (2003

Geometrical origin of the *-product in the Fedosov formalism

The construction of the *-product proposed by Fedosov is implemented in terms of the theory of fibre bundles. The geometrical origin of the Weyl algebra and the Weyl bundle is shown. Several properties of the product in the Weyl algebra are proved. Symplectic and abelian connections in the Weyl algebra bundle are introduced. Relations between them and the symplectic connection on a phase space M are established. Elements of differential symplectic geometry are included. Examples of the Fedosov formalism in quantum mechanics are given.Comment: LaTeX, 39 page

Design and analysis of an angular-segmented full-mobility visible light communications receiver

This paper presents the concept, design and analysis for a visible light communications receiver utilising the angular and spatial diversity in order to achieve full mobility and protection from signal blocking in a typical home/office environment. The proposed receiver uses seven sub-receivers, each dedicated to an independent viewing angle and direction. Employing selection combining, the receiver with the strongest signal is used for the communications channel. Full performance evaluation and numerical analysis of the proposed system have been performed in MATLAB and compared to that of a single receiver. The received power, impulse response, corresponding signal-to-noise ratios and root-mean-square delay spread are also investigated