School of Mathematical Sciences

Department Colloquium

Schreiber 209, 11:10

University of Michigan

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.

Abstract: