Classical and quantum dynamics of a particle constrained on a circle
Quantum Physics
2015-06-26 v2
Abstract
The Dirac method is used to analyze the classical and quantum dynamics of a particle constrained on a circle. The method of Lagrange multipliers is scrutinized, in particular in relation to the quantization procedure. Ordering problems are tackled and solved by requiring the hermiticity of some operators. The presence of an additional term in the quantum Hamiltonian is discussed.
Cite
@article{arxiv.quant-ph/0106029,
title = {Classical and quantum dynamics of a particle constrained on a circle},
author = {Antonello Scardicchio},
journal= {arXiv preprint arXiv:quant-ph/0106029},
year = {2015}
}
Comments
14 pages, no figures. To be published in Physics Letters A