Coherent states on Hilbert modules

@article{Ali2010CoherentSO,
  title={Coherent states on Hilbert modules},
  author={S. Twareque Ali and Tirthankar Bhattacharyya and Subhasish Subhasish},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2010},
  volume={44},
  pages={275202}
}
We generalize the concept of coherent states, traditionally defined as special families of vectors on Hilbert spaces, to Hilbert modules. We show that Hilbert modules over C*-algebras are the natural settings for a generalization of coherent states defined on Hilbert spaces. We consider those Hilbert C*-modules which have a natural left action from another C*-algebra, say . The coherent states are well defined in this case and they behave well with respect to the left action by . Certain… 

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