Effective Equations of Motion for Quantum Systems
Abstract
In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations. A general method and geometrical picture are developed and shown to agree with effective action results, commonly derived through path integration, for perturbations around a harmonic oscillator ground state. The same methods are used to describe dynamical coherent states, which in turn provide means to compute quantum corrections to the symplectic structure of an effective system.
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 2006
 DOI:
 10.1142/S0129055X06002772
 arXiv:
 arXiv:mathph/0511043
 Bibcode:
 2006RvMaP..18..713B
 Keywords:

 Effective theory;
 low energy effective action;
 dynamical coherent states;
 Mathematical Physics;
 Astrophysics;
 High Energy Physics  Theory;
 Mathematics  Mathematical Physics;
 Quantum Physics
 EPrint:
 31 pages