Radial coherent states for the Coulomb problem

Christopher C. Gerry; J. Kiefer

doi:10.1103/PhysRevA.37.665

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Radial coherent states for the Coulomb problem

Christopher C. Gerry and J. Kiefer

Phys. Rev. A 37, 665 – Published 1 February 1988

Abstract

Using the SO(2,1) radial (or spectrum-generating) subgroup of the SO(4,2) dynamical group of the Coulomb problem, we construct the associated coherent states that follow the classical radial motion. These wave packets evolve in a fictitious time variable proportional to the eccentric anomaly. The packets consist of a superposition of Coulomb Sturmian functions and do not disperse as they evolve although the width of the packets changes periodically.

Received 24 April 1987

DOI:https://doi.org/10.1103/PhysRevA.37.665

Authors & Affiliations

Christopher C. Gerry and J. Kiefer

Department of Physics, St. Bonaventure University, St. Bonaventure, New York 14778

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Vol. 37, Iss. 3 — February 1988

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Radial coherent states for the Coulomb problem

Christopher C. Gerry and J. Kiefer

Phys. Rev. A 37, 665 – Published 1 February 1988

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Radial coherent states for the Coulomb problem

Christopher C. Gerry and J. Kiefer

Phys. Rev. A 37, 665 – Published 1 February 1988

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References (Subscription Required)

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