Generalized boson algebra and its entangled bipartite coherent states

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dc.creatorAizawa, N.
dc.creatorChakrabaarti, R.
dc.creatorSegar, J.
dc.date2005-09-05
dc.date.accessioned2026-07-07T06:20:02Z
dc.date.available2026-07-07T06:20:02Z
dc.descriptionStarting with a given generalized boson algebra U_<q>(h(1)) known as the bosonized version of the quantum super-Hopf U_q[osp(1/2)] algebra, we employ the Hopf duality arguments to provide the dually conjugate function algebra Fun_<q>(H(1)). Both the Hopf algebras being finitely generated, we produce a closed form expression of the universal T matrix that caps the duality and generalizes the familiar exponential map relating a Lie algebra with its corresponding group. Subsequently, using an inverse Mellin transform approach, the coherent states of single-node systems subject to the U_<q>(h(1)) symmetry are found to be complete with a positive-definite integration measure. Nonclassical coalgebraic structure of the U_<q>(h(1)) algebra is found to generate naturally entangled coherent states in bipartite composite systems.
dc.description15pages, no figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0509031
dc.identifierhttp://arxiv.org/abs/quant-ph/0509031
dc.identifierJ. Phys. A:Math. Gen. 38 (2005) 9007-9018
dc.identifierdoi:10.1088/0305-4470/38/41/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95226
dc.subjectQuantum Physics
dc.subjectQuantum Algebra
dc.titleGeneralized boson algebra and its entangled bipartite coherent states
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