Coherent state embeddings, polar divisors and Cauchy formulas

Stefan Berceanu; Martin Schlichenmaier

doi:10.1016/s0393-0440(99)00075-3

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arXiv · math/9903105

Coherent state embeddings, polar divisors and Cauchy formulas

Stefan Berceanu·Martin Schlichenmaier

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Abstract

For arbitrary quantizable compact Kaehler manifolds, relations between the geometry given by the coherent states based on the manifold and the algebraic (projective) geometry realised 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 m-point functions are discussed. The three-point function is related to the shape invariant of geodesic triangles in projective space.

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BibTeX RIS

Stefan Berceanu, Martin Schlichenmaier. 1999-12-20. Coherent state embeddings, polar divisors and Cauchy formulas. https://doi.org/10.1016/s0393-0440(99)00075-3

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