Adiabatic Generation of Stable Field-Supported Rydberg Wavepackets

  • Maciej Kalinski
  • J. H. Eberly
Conference paper


We have shown1 that the spectrum of the Hamiltonian for the Hydrogen atom in a circularly polarized field can be locally harmonic. Therefore the simplest eigenfunction has Gaussian-like shape and the probability density associated with it represents a nonspreading wave packet moving around a circular orbit. The lifetime of this state is infinite within the harmonic approximation and further numerical experiments2 have confirmed it to be extremely long. Because of the beautiful connection with Trojan asteroids we have called those states Trojan wavepackets1,2.


Wave Packet Circular Orbit Harmonic Approximation Schrodinger Equation Energy Line 
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  1. 1.
    I. Bialynicki-Birula, M. Kalinski and J.H. Eberly, Lagrange Equilibrium Points in Celestial Mechanics and Nonspreading Wave Packets for Strongly Driven Rydberg Electrons, Phys. Rev. Lett. 73, 1777 (1994).CrossRefGoogle Scholar
  2. 2.
    M. Kalinski, J.H. Eberly and I. Bialynicki-Birula, Numerical observation of stable field-supported Rydberg wave packets, Phys. Rev. A (in press).Google Scholar
  3. 3.
    C. Zener, Non-Adiabatic Crossing of Energy Levels, Proc. Roy. Soc. A 137, 696 (1932).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Maciej Kalinski
    • 1
  • J. H. Eberly
    • 1
  1. 1.Department of Physics and AstronomyUnivesity of RochesterRochesterUSA

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