Classical and quantum dynamics of a particle constrained on a circle

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.

14 pages, no figures. To be published in Physics Letters A

References in corpus (1)

• Self-adjoint extensions of operators and the teaching of quantum mechanics

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