Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface

Details Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface

1997-12-05

arxiv.org/abs/hep-th/9712052v1

J.Math.Phys.39:3091-3119,1998

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, TEX, input files amssym.def, amssym.tex

Scientific paper

10.1063/1.532241

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.

Affiliated with

Also associated with

No associations

Rating

Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface 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 Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constrained Dynamics for Quantum Mechanics I. Restricting a Particle to a Surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-515429