1998/03/10 by E. Abdalla, R. Banerjee
Physics and Astronomy · #quant-ph
published as Braz.J.Phys. 31 (2001) 80-83 · latex, 12 pages
arxiv created 1998/03/10 · arxiv updated 2009/12/01
We reconsider the problem of quantising a particle on the D-dimensional sphere. Adopting a Lagrangian method of reducing the degrees of freedom, the quantum Hamiltonian is found to be the usual Schrödinger operator without any boundary term. The equivalence with the Dirac Hamiltonian approach is demonstrated, either in the cartesian or in the curvilinear basis. We also briefly comment on the path integral approach.