The seminar series De Madrid al Cosmos ("From Madrid to the Cosmos") fosters the dissemination of research in theoretical cosmology and related topics. The seminars are accesible to a non-specialist public with some knowledge of fundamental physics.
The seminars are organized jointly by the Effective Theories in Modern Physics Group of the Complutense University of Madrid and the Gravitation and Cosmology Group of the Institute for the Structure of Matter (IEM-CSIC).
UCM Faculty of Physical Sciences and Miguel Antonio Catalán Physics Center (CSIC)
Next seminar: Cancelled!
Coherent States on the circle in the context of Kummer functions and the Zak transformation
Speaker: Kristina Giesel
Affiliation: FAU Erlangen-Nürnberg
Abstract: 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.
Abstract: 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.
Date
and time: 16 March 2020,
15:00 h.
