Temporally stable coherent states in energy-degenerate systems: The hydrogen atom

2000/06/09 by M. G. A. Crawford, Michael G. A. Crawford · 3 citations
Physics and Astronomy · #Laser-Matter Interactions and Applications #Quantum Mechanics and Applications #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1103/physreva.62.012104

published as Phys. Rev. A 62(1), 012104-1 (2000) · 9 pages, 3 figures

openalex publication_date 2000/06/09 · arxiv created 2001/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Klauder's recent generalization of the harmonic oscillator coherent states [J. Phys A 29, L293 (1996)], is applicable only in nondegenerate systems, requiring some additional structure if applied to systems with degeneracies. The author suggests how this structure could be added, and applies the complete method to the hydrogen atom problem. To illustrate how a certain degree of freedom in the construction may be exercised, states are constructed, which are initially localized and evolve semiclassically, and whose long time evolution exhibits ``fractional revivals.''

Citations

• Classical and quantum-mechanical dynamics of a quasiclassical state of the hydrogen atom
• Coherence and decay of Rydberg wave Packets

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• Coherent states for exactly solvable potentials
• COHERENT STATE OF THE EFFECTIVE MASS HARMONIC OSCILLATOR
• Generalized coherent states for solvable quantum systems with degenerate discrete spectra and their nonclassical properties