The universal propagator for affine [or SU(1,1)] coherent states

John R. Klauder; Wolfgang A. Tomé

doi:10.1063/1.529865

The universal propagator for affine [or SU(1,1)] coherent states

John R. Klauder, Wolfgang A. Tomé

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4 Scopus citations

Abstract

It is shown that it is possible to introduce a universal propagator for a general Hamiltonian appropriate to a single affine degree of freedom. This universal propagator is a single function, independent of any particular choice of fiducial vector, which, nonetheless, propagates the coherent state Hubert space representatives correctly. Furthermore, the universal propagator for several examples is explicitly constructed.

Original language	English (US)
Pages (from-to)	3700-3709
Number of pages	10
Journal	Journal of Mathematical Physics
Volume	33
Issue number	11
DOIs	https://doi.org/10.1063/1.529865
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.529865

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abstract = "It is shown that it is possible to introduce a universal propagator for a general Hamiltonian appropriate to a single affine degree of freedom. This universal propagator is a single function, independent of any particular choice of fiducial vector, which, nonetheless, propagates the coherent state Hubert space representatives correctly. Furthermore, the universal propagator for several examples is explicitly constructed.",

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AB - It is shown that it is possible to introduce a universal propagator for a general Hamiltonian appropriate to a single affine degree of freedom. This universal propagator is a single function, independent of any particular choice of fiducial vector, which, nonetheless, propagates the coherent state Hubert space representatives correctly. Furthermore, the universal propagator for several examples is explicitly constructed.

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The universal propagator for affine [or SU(1,1)] coherent states

Abstract

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