El ciclo de seminarios De Madrid al Cosmos busca la difusión de la investigación en cosmología teórica y temas relacionados. Los seminarios del ciclo pretenden ser accesibles a un público no especializado, pero con conocimientos de física fundamental.
El ciclo está organizado conjuntamente por el Grupo de Teorías Efectivas en Física Moderna de la Universidad Complutense de Madrid y el Grupo de Gravitación y Cosmología del Instituto de Estructura de la Materia (IEM-CSIC).
Facultad de Ciencias Físicas de la UCM y Centro de Física Miguel Antonio Catalán (CSIC)
Próximo seminario: Cancelado!
Coherent States on the circle in the context of Kummer functions and the Zak transformation
Ponente: Kristina Giesel
Filiación: FAU Erlangen-Nürnberg
Resumen: In this talk it will be presented how fractional powers of momentum operators can be computed exactly analytically be means of so called Kummer functions. Earlier, these expectation values have only been obtained by suitable estimates. Furthermore, it wil be discussed how the Zak transformation can be used to obtain a relation between semiclassical matrix elements in L_2(S_1) and L2(R) providing an alternative way for computing semiclassical matrix elements for coherent states on the circle. In addition the relation between the Zak transform and the complexifier coherent states introduced by Thiemann and Winkler will be discussed.
Resumen: In this talk it will be presented how fractional powers of momentum operators can be computed exactly analytically be means of so called Kummer functions. Earlier, these expectation values have only been obtained by suitable estimates. Furthermore, it wil be discussed how the Zak transformation can be used to obtain a relation between semiclassical matrix elements in L_2(S_1) and L2(R) providing an alternative way for computing semiclassical matrix elements for coherent states on the circle. In addition the relation between the Zak transform and the complexifier coherent states introduced by Thiemann and Winkler will be discussed.
Fecha
y hora: 16 de marzo de 2020,
15:00 h.
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