Coherent states, phases and symplectic areas of geodesic triangles
Abstract
Description
On 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.
8 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
8 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
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/math/9903190
http://arxiv.org/abs/math/9903190
"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
http://arxiv.org/abs/math/9903190
"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