N Aizawa and R Chakrabarti 2009 J. Phys. A: Math. Theor. 42 295208 doi:10.1088/1751-8113/42/29/295208
N Aizawa1 and R Chakrabarti2
Show affiliationsThe generalized coherent states for quantum groups introduced by Jurčo and Šťovíček are studied for the simplest example SUq(2) in full detail. It is shown that the normalized SUq(2) coherent states enjoy the property of completeness, and allow a resolution of the unity. This feature is expected to play a key role in the application of these coherent states in physical models. The homogeneous space of SUq(2), i.e. the q-sphere of Podleś, is reproduced in complex coordinates by using the coherent states. Differential calculus in the complex form on the homogeneous space is developed. The high spin limit of the SUq(2) coherent states is also discussed.
17B45 Lie algebras of linear algebraic groups (See also 14Lxx and 20Gxx)
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
Issue 29 (24 July 2009)
Received 9 January 2009, in final form 2 May 2009
Published 6 July 2009
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