Dirac-bracket quantisation of a constrained nonlinear system: the rigid rotator

and

Published under licence by IOP Publishing Ltd
, , Citation N K Falck and A C Hirshfeld 1983 Eur. J. Phys. 4 5 DOI 10.1088/0143-0807/4/1/003

0143-0807/4/1/5

Abstract

The authors discuss the Dirac-bracket quantisation procedure for the nonrelativistic rigid rotator. In cartesian coordinates this system exhibits two important features which are also characteristic of the nonabelian gauge theories, it is constrained, and nonlinear. By comparing to the known solution in polar coordinates the author demonstrate that simple hermiticity conditions are sufficient to allow the unambiguous application of the Dirac quantisation method to such nonlinear dynamical systems.

Export citation and abstract BibTeX RIS

10.1088/0143-0807/4/1/003