Coherent States and Duality

Details Coherent States and Duality Coherent States and Duality

2002-04-22

arxiv.org/abs/quant-ph/0204128v1

Phys.Lett. A301 (2002) 210-214

Physics

Quantum Physics

7 pages, LaTeX

Scientific paper

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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