Quantum Coherent States and the Method of Orbits

Branislav Jurčo and Pavel Šťovíček
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Branislav Jurčo: CERN, Theory Division
Pavel Šťovíček: CTU, Department of Mathematics and Doppler Institute, Faculty of Nuclear Science

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 211-216 from Springer

Abstract: Abstract A general coadjoint orbit of a compact group is quantized by introducing quantum “holomorphic” coordinate functions z jk on the big cell. Quantum coherent states are defined in a way quite parallel to the classical approach of Perelomov. Any irreducible representation of the deformed enveloping algebra is shown to act in a vector space of polynomials in non-commutative variables z* jk according to a simple rule.

Keywords: Coherent State; Hopf Algebra; Quantum Group; Quantum Deformation; Coset Space (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_22

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DOI: 10.1007/978-1-4899-1060-8_22

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