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quant-ph2002★ 1 cited
The Harmonic Oscillator in the Plane and the Jordan-Schwinger Algebras
Rabin Banerjee, Pradip Mukherjee
The direct and indirect Lagrangian representations of the planar harmonic oscillator have been discussed. The reduction of these Lagrangians in their basic forms characterising eit…
quant-ph1998
Quantization of the multidimensional rotor
E. Abdalla, R. Banerjee
We reconsider the problem of quantising a particle on the -dimensional sphere. Adopting a Lagrangian method of reducing the degrees of freedom, the quantum Hamiltonian is found…