Coherent state embeddings, polar divisors and Cauchy formulas


Berceanu, Stefan ; Schlichenmaier, Martin


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URL: https://ub-madoc.bib.uni-mannheim.de/1326
URN: urn:nbn:de:bsz:180-madoc-13263
Document Type: Working paper
Year of publication: 1999
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Abstract: For arbitrary quantizable compact Käahler 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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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.




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Berceanu, Stefan ; Schlichenmaier, Martin (1999) Coherent state embeddings, polar divisors and Cauchy formulas. Open Access [Working paper]
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