The Harmonic Oscillator in the Plane and the Jordan-Schwinger Algebras

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dc.creatorBanerjee, Rabin
dc.creatorMukherjee, Pradip
dc.date2002-05-23
dc.date.accessioned2026-07-07T06:04:13Z
dc.date.available2026-07-07T06:04:13Z
dc.descriptionThe 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.
dc.descriptionRevtex, 8 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0205143
dc.identifierhttp://arxiv.org/abs/quant-ph/0205143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90223
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleThe Harmonic Oscillator in the Plane and the Jordan-Schwinger Algebras
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