Coherent states and duality

We formulate a relation between quantum-mechanical coherent states and complex-differentiable structures on the classical phase space C of a finite number of degrees of freedom. Locally-defined coherent states parametrised by the points of C exist when there is an almost complex structure on C . Whe...

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Published inPhysics letters. A Vol. 301; no. 3; pp. 210 - 214
Main Author Isidro, José M
Format Journal Article
LanguageEnglish
Published Elsevier B.V 26.08.2002
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03.65.Ca
03.65.-w
03.65.Bz
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Abstract We formulate a relation between quantum-mechanical coherent states and complex-differentiable structures on the classical phase space C of a finite number of degrees of freedom. Locally-defined coherent states parametrised by the points of C exist when there is an almost complex structure on C . When C admits a complex structure, such coherent states are globally defined on C . The picture of quantum mechanics that emerges allows to implement duality transformations.
AbstractList We formulate a relation between quantum-mechanical coherent states and complex-differentiable structures on the classical phase space C of a finite number of degrees of freedom. Locally-defined coherent states parametrised by the points of C exist when there is an almost complex structure on C . When C admits a complex structure, such coherent states are globally defined on C . The picture of quantum mechanics that emerges allows to implement duality transformations.
Author Isidro, José M
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10.1103/PhysRevLett.65.1697
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