Titlebook: Quantization, Coherent States, and Complex Structures; J.-P. Antoine,S. Twareque Ali,A. Odzijewicz Book 1995 Springer Science+Business Med

稀释前

Modular Structures in Geometric Quantizationrimary representations (prequantization) and irreducible representations (quantization) from the regular representation of the symmetry group of the physical systems to be considered. The emphasis is on presenting specific examples for which the solution is exhibited explicitly.

carotid-bruit

Diffeomorphism Groups and Anyon Fieldson fields satisfy .-commutators, where . is the well-known phase shift associated with a single counterclockwise exchange of a pair of anyons. Our method uses a realization of the braid group by means of paths in the plane, that transform naturally under diffeomorphisms of ..

小教堂

Explicitly Covariant Algebraic Representations for Transitional Currents of Spin-1/2 Particlescurrents of massive spin-1/2 particles. We show that in the massless case such representations exist only for transitional currents which are non-diagonal in helicity. The diagonal currents have algebraic representations which are not explicitly covariant.

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Constrain

Spin Coherent States for the Poincaré Groupmass and integral or half-integral spin. These coherent states are labelled by points in the classical phase space of the relativistic particle and are associated to affine sections of the Poincaré group, considered as a fibre bundle over the phase space.

阴谋

Coherent States and Global Differential Geometrycoherent vectors othogonal to 0 >. The result is proved for manifolds on which the exponential from the Lie algebra to the Lie group equals the geodesic exponential. The conjugate loci on hermitian symmetric spaces are analyzed also in the context of the coherent state approach. The results are illustrated on the complex Grassmann manifold.

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