Quantization of the multidimensional rotor

Details Quantization of the multidimensional rotor Quantization of the multidimensional rotor

1998-03-10

arxiv.org/abs/quant-ph/9803021v1

Braz.J.Phys. 31 (2001) 80-83

Physics

Quantum Physics

latex, 12 pages

Scientific paper

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 Schr\"odinger 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.

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