Squeezed states and Hermite Polynomials in a Complex Variable

2015.04.22 14:47 - admin

Seria:

Seminarium Kosmologiczne

Prelegent i afiliacja:

Katarzyna Górska, Instytut Fizyki Jądrowej im. Henryka Niewodniczańskiego, Zakład Fizyki Matematycznej i Astrofizyki Teoretycznej

Data:

śr., 2015-04-29 10:15 do 11:15

Miejsce:

Hoża 69, pawilon NCBJ, sala 22

Streszczenie:

Abstract

I will construct coherent states, related to the Hermite polynomials in a complex variable which are orthogonal with respect to a non-rotationally invariant measure. Then, I will investigate relations between these coherent states and obtain the relationship between them and the squeezed states of quantum optics. I will also obtain a second realization of the canonical coherent states in the Bargmann space of analytic functions, in terms of a squeezed basis. All this is done in the flavor of the classical approach of V. Bargmann [Comm. Pure Appl. Math. 14 (1961) 187].