Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface
| dc.creator | Grundling, Hendrik | |
| dc.creator | Hurst, C. A. | |
| dc.date | 1997-12-05 | |
| dc.date.accessioned | 2026-07-07T10:34:20Z | |
| dc.date.available | 2026-07-07T10:34:20Z | |
| dc.description | We analyze constrained quantum systems where the dynamics do not preserve the constraints. This is done in particular for the restriction of a quantum particle in Euclidean n-space to a curved submanifold, and we propose a method of constraining and dynamics adjustment which produces the right Hamiltonian on the submanifold when tested on known examples. This method we hope will become the germ of a full Dirac algorithm for quantum constraints. We take a first step in generalising it to the situation where the constraint is a general selfadjoint operator with some additional structures. | |
| dc.description | 49 pages, TEX, input files amssym.def, amssym.tex | |
| dc.identifier | https://arxiv.org/abs/hep-th/9712052 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9712052 | |
| dc.identifier | J.Math.Phys.39:3091-3119,1998 | |
| dc.identifier | doi:10.1063/1.532241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179444 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface | |
| dc.type | text |