Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-01-09
Annals Phys. 298 (2002) 394-402
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1006/aphy.2002.6262
We review and compare different variational formulations for the Schr\"{o}dinger field. Some of them rely on the addition of a conveniently chosen total time derivative to the hermitic Lagrangian. Alternatively, the Dirac-Bergmann algorithm yields the Schr\"{o}dinger equation first as a consistency condition in the full phase space, second as canonical equation in the reduced phase space. The two methods lead to the same (reduced) Hamiltonian. As a third possibility, the Faddeev-Jackiw method is shown to be a shortcut of the Dirac method. By implementing the quantization scheme for systems with second class constraints, inconsistencies of previous treatments are eliminated.
No associations
LandOfFree
On Hamiltonian formulations of the Schrödinger system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Hamiltonian formulations of the Schrödinger system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Hamiltonian formulations of the Schrödinger system will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-724979