Radial Coherent States--From the Harmonic Oscillator to the Hydrogen Atom

Journal Article · Sat Oct 01 00:00:00 EDT 2005 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/1.2121919· OSTI ID:20692890

Gur, Y; Mann, A ^[1]

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1. Tel-Aviv University (Israel)

We construct spectrum generating algebras of SO(2, 1) {approx} SU(1, 1) in arbitrary dimension for the isotropic harmonic oscillator and the Sturm-Coulomb problem in radial coordinates. Using these algebras, we construct the associated radial Barut-Girardello coherent states for the isotropic harmonic oscillator (in arbitrary dimension). We map these states into the Sturm-Coulomb radial coherent states and show that they evolve in a fictitious time parameter without dispersing.

• OSTI ID: 20692890
• Journal Information: Physics of Atomic Nuclei, Vol. 68, Issue 10; Other Information: Translated from Yadernaya Fizika, ISSN 0044-0027, 68, 1763-1771 (No. 10, 2005); DOI: 10.1134/1.2121919; (c) 2005 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); TN:; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGEBRA
ANNIHILATION OPERATORS
ATOMS
COORDINATES
EIGENSTATES
HARMONIC OSCILLATORS
HYDROGEN
SO GROUPS
SU GROUPS