Tel-Aviv University
School of Mathematical Sciences
Department Colloquium
Note the special day, time, and location
Tuesday, May 13, 2014
Schreiber 209, 11:10
Alejandro Uribe
University of Michigan
The semiclassical limit in Bargmann space
Abstract:
Bargmann space is a Hilbert space of holomorphic functions on C^n which
can be used to formulate the quantum mechanics of a particle in R^n. In
this talk I will show how Bargmann space is particularly well-suited to
semiclassical analysis, which is the study of the asymptotics of
quantum objects as Planck's constant tends to zero. I will emphasize
the role played by coherent states and Lagrangian submanifolds, and
discuss how approximating the quantum propagator in Bargmann space
leads to extensions of the semiclassical trace formula.