Coherent states, phases and symplectic areas of geodesic triangles

Simple item page
dc.creatorBerceanu, S.
dc.date1999-03-31
dc.date.accessioned2026-07-07T05:28:33Z
dc.date.available2026-07-07T05:28:33Z
dc.descriptionOn certain manifolds, the phase which appears in the scalar product of two coherent state vectors is twice the symplectic area of the geodesic triangle determined by the corresponding points on the manifold and the origin of the system of coordinates. This result is proved for compact Hermitian symmetric spaces using the generalization via coherent states of the shape invariant for geodesic triangles and re-obtained on the complex Grassmannian by brute- force calculation.
dc.description8 pages, Latex2e, AMS fonts, to appear in "Coherent States, Quantization and Gravity", Edited by M. Schlichenmaier, S. T. Ali, A. Strasburger, Proceedings of the XVII Workshop on Geometric Methods in Physics, Bialowieza, Poland, July 3-9, 1998, Rep. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/9903190
dc.identifierhttp://arxiv.org/abs/math/9903190
dc.identifier"Coherent States, Quantization and Gravity", Edited by M. Schlichenmaier, S.T. Ali, A. Strasburger, A.Odzijewicz, Proceedings of the XVII Workshop on Geometric Methods in Physics, Bialowieza, Poland, July 3-9, 1998, Wydawnictwa Universytetu Warszawskiego, Warszawa 2001, pp. 129-138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78303
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject81R30; 53C22
dc.titleCoherent states, phases and symplectic areas of geodesic triangles
dc.typetext

Files

Collections

arXiv