Effective Equations of Motion for Quantum Systems

Details Effective Equations of Motion for Quantum Systems Effective Equations of Motion for Quantum Systems

2005-11-11

arxiv.org/abs/math-ph/0511043v2

Rev.Math.Phys. 18 (2006) 713-746

Physics

Mathematical Physics

31 pages; v2: a new example, new references

Scientific paper

10.1142/S0129055X06002772

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 is 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.

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