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Coherent States and Duality

J. M. Isidro
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Abstract

We formulate a relation between quantum-mechanical coherent states and complex-differentiable structures on the classical phase space ${\cal C}$ of a finite number of degrees of freedom. Locally-defined coherent states parametrised by the points of ${\cal C}$ exist when there is an almost complex structure on ${\cal C}$. When ${\cal C}$ admits a complex structure, such coherent states are globally defined on ${\cal C}$. The picture of quantum mechanics that emerges allows to implement duality transformations.

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J. M. Isidro. 2002-04-22. Coherent States and Duality. https://doi.org/10.1016/s0375-9601(02)00983-0

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