Speaker: Aureliano Skirzewski
Title: Effective Action From Geometric Formulation of Quantum Mechanics
Abstract: In order to get quantum corrections to the classical equations of motion of an arbitrary finite dimensional system, we explore a point of view in which the Hermitian inner product of the Hilbert space of the quantum system induces a symplectic structure and a metric in an infinite dimensional projective space [gr-qc/9706069]. The procedure is suggested when realizing that the space of functions which correspond to the mean value of the operators acting on the Hilbert space is a bundle over the classical phase space and that the space of functions on this submanifold can be preserved under the action of the Hamiltonian once certain assumptions are made. We review the general framework and discuss examples to compare with the usual effective action.
Talk: Transparencies, Recorded Talk