English

Constrained quantum dynamics

Quantum Physics 2015-05-13 v1

Abstract

We give an overview of the two different methods that have been introduced in order to describe the dynamics of constrained quantum systems; the symplectic formulation and the metric formulation. The symplectic method extends the work of Dirac on constrained classical systems to quantum systems, whereas the metric approach is purely a quantum mechanical method having no immediate classical counterpart. Two examples are provided that illustrate the nonlinear motion induced by the constraint.

Keywords

Cite

@article{arxiv.0903.5437,
  title  = {Constrained quantum dynamics},
  author = {Anna C. T. Gustavsson},
  journal= {arXiv preprint arXiv:0903.5437},
  year   = {2015}
}

Comments

8 pages, 4 figures. Based on the talk presented at the DICE2008 conference in Castiglioncello, September 2008

R2 v1 2026-06-21T12:46:33.475Z