GEOMETRY OF COHERENT STATES OF CCR ALGEBRAS

@article{Yamagami2010GEOMETRYOC,
  title={GEOMETRY OF COHERENT STATES OF CCR ALGEBRAS},
  author={Shigeru Yamagami},
  journal={Infinite Dimensional Analysis, Quantum Probability and Related Topics},
  year={2010},
  volume={15},
  pages={1250009}
}
  • S. Yamagami
  • Published 1 June 2010
  • Mathematics
  • Infinite Dimensional Analysis, Quantum Probability and Related Topics
Geometric positions of square roots of coherent states of CCR algebras are investigated along with an explicit formula for transition amplitudes among them, which is a natural extension of our previous results on quasi-free states and will provide a new insight into the quasi-equivalence problem on coherent states. 
2 Citations

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References

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Geometric positions of square roots of quasi-free states of CCR algebras are investigated together with an explicit formula for transition amplitudes among them.

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A necessary and sufficient condition for two quasifree states of CCR's (the canonical commutation relations) to yield quasi-equivalent representations is obtained, in the most general setting where

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The transition amplitude between square roots of states, which is an analogue of Hellinger integral in classical measure theory, is investigated in connection with operator-algebraic representation