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The Harmonic Oscillator in the Plane and the Jordan-Schwinger Algebras | | Rabin Banerjee
; Pradip Mukherjee
; | | Date: |
23 May 2002 | | Subject: | quant-ph hep-th | | Abstract: | The direct and indirect Lagrangian representations of the planar harmonic oscillator have been discussed. The reduction of these Lagrangians in their basic forms characterising either chiral, or pseudo - chiral oscillators have been given. A Hamiltonian analysis, showing its equivalence with the Lagrangian formalism has also been provided. Finally, we show that the chiral and pseudo - chiral modes act as dynamical structures behind the Jordan - Schwinger realizations of the SU(2) and SU(1,1) algebras. Also, the SU(1,1) construction found here is different from the standard Jordan - Schwinger form. | | Source: | arXiv, quant-ph/0205143 | | Services: | Forum | Review | PDF | Favorites | |
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