Reduced phase space quantization
量子物理
2007-05-23 v1
摘要
We examine two singular Lagrangian systems with constraints which apparently reduce the phase space to a 2-dimensional sphere and a 2-dimensional hyperboloid. Rigorous constraint analysis by Dirac's method, however, gives 2-dimensional open disc and an infinite plane with a hole in the centre respectively as the reduced phase spaces. Upon canonical quantisation the classical constraints show up as restrictions on the Hilbert space.
引用
@article{arxiv.quant-ph/9910049,
title = {Reduced phase space quantization},
author = {P. Chingangbam and Pankaj Sharan},
journal= {arXiv preprint arXiv:quant-ph/9910049},
year = {2007}
}
备注
3 pages, REVTEX