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arxiv: hep-th/9305122 · v1 · submitted 1993-05-24 · ✦ hep-th

Path Integrals for Quantum Algebras and the Classical Limit

classification ✦ hep-th
keywords algebrasclassicallimitpathquantumcanonicalcoherentcurvature
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Coherent states path integral formalism for the simplest quantum algebras, q-oscillator, SU_q(2) and SU_q(1,1) is introduced. In the classical limit canonical structure is derived with modified symplectic and Riemannian metric. Non-constant deformation induced curvature for the phase spaces is obtained.

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