Approximate dynamical symmetry of hydrogen atoms in circularly polarized microwave fields | Zendy

M. J. Raković | Zendy; ShihI Chu | Zendy

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Approximate dynamical symmetry of hydrogen atoms in circularly polarized microwave fields

Author(s) -

M. J. Raković,

ShihI Chu

Publication year - 1994

Publication title -

physical review a

Language(s) - English

Resource type - Journals

eISSN - 1094-1622

pISSN - 1050-2947

DOI - 10.1103/physreva.50.5077

Subject(s) - physics , hydrogen atom , integrable system , microwave , hamiltonian (control theory) , polarization (electrochemistry) , circular polarization , atomic physics , invariant (physics) , circular motion , ionization , quantum mechanics , quantum electrodynamics , mathematical physics , magnetic field , ion , mathematical optimization , chemistry , mathematics , group (periodic table)

We report the discovery of an integrable three-dimensional Hamiltonian system with a velocity-dependent potential. A two-dimensional restriction of that system is (for low frequencies) a good approximation of the motion (in the polarization plane) of the hydrogen atom in circularly polarized microwave fields. An additional integral of motion of the integrable two-dimensional system (being approximate invariant for the hydrogen atom in a circular field) is used in the calculation of the classical ionization field threshold. The result is consistent with all available experimental observations.

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