| 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
|
|
| |