Coherent state embeddings, polar divisors and Cauchy formulas

JOURNAL OF GEOMETRY AND PHYSICS

卷:34

Article

Berceanu, S ; Schlichenmaier, M

关键词: coherent states;    quantization;    Kahler manifolds;    shape invariant;    Calabi's diastatic function;    projective embeddings;   

DOI  :  10.1016/S0393-0440(99)00075-3

来源: Elsevier

【 摘 要 】

For arbitrary quantizable compact Kahler manifolds, relations between the geometry given by the coherent stares based on the manifold and the algebraic (projective) geometry realized via the coherent state mapping into projective space, are studied. Polar divisors, formulas relating the scalar products of coherent vectors on the manifold with the corresponding scalar products on projective space (Cauchy formulas), two-point, three-point and more generally cyclic tn-point functions are discussed. The three-point function is related to the shape invariant of geodesic triangles in projective space. (C) 2000 Elsevier Science B.V, All rights reserved.

【 授权许可】

Free