On a classical constrained system and its quantum mechanical counterpart

Abstract

The authors discuss a nonintegrable system of three coupled anharmonic oscillators with certain constraints, so that it is transformed into an integrable one. After having quantized the system with constraints and the classically equivalent unconstrained integrable system using the BFV algorithm and the EBK quantization method, respectively the equivalence of the two quantization procedures is shown by explicitly performing the reduction to the physical subspace on the quantum level.