Generalized coherent states and the uncertainty principle

Roy, S. M. ; Singh, Virendra (1982) Generalized coherent states and the uncertainty principle Physical Review D - Particles, Fields, Gravitation and Cosmology, 25 (12). pp. 3413-3416. ISSN 1550-7998

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We derive from a dynamical symmetry property that the linear and nonlinear Schrödinger equations with harmonic potential possess an infinite string of shape-preserving coherent wave-packet states with classical motion. Unlike the Schrödinger state with ΔxΔp=ℏ/2, the uncertainty product can be arbitrarily large for these states showing that classical motion is not necessarily linked with minimum uncertainty. We obtain a generalization of Sudarshan's diagonal coherent-state representation in terms of these states.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:42865
Deposited On:07 Jun 2011 06:03
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