Recurrence spectra of a helium atom in parallel electric and magnetic fields

Journal Article · Fri Aug 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.023405· OSTI ID:20640079

Wang, Dehua ^[1]; Ding, Shiliang ^[1]

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1. School of Physics and Microelectronics, Shandong University, Jinan 250100, People's Republic of China (China)

A model potential for the general Rydberg atom is put forward, which includes not only the Coulomb interaction potential and the core-attractive potential, but also the exchange potential between the excited electron and other electrons. Using the region-splitting consistent and iterative method, we calculated the scaled recurrence spectra of the helium atom in parallel electric and magnetic fields and the closed orbits in the corresponding classical system have also been obtained. In order to remove the Coulomb singularity of the classical motion of Hamiltonian, we implement the Kustaanheimo-Stiefel transformation, which transforms the system from a three-dimensional to a four-dimensional one. The Fourier-transformed spectra of the helium atom has allowed direct comparison between peaks in such a plot and the scaled action values of closed orbits. Considering the exchange potential, the number of the closed orbits increased, which led to more peaks in the recurrence spectra. The results are compared with those of the hydrogen case, which shows that the core-scattered effects and the electron exchange potential play an important role in the multielectron Rydberg atom.

• OSTI ID: 20640079
• Journal Information: Physical Review. A, Vol. 68, Issue 2; Other Information: DOI: 10.1103/PhysRevA.68.023405; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BASIC INTERACTIONS
COMPARATIVE EVALUATIONS
ELECTRO-OPTICAL EFFECTS
ELECTRON EXCHANGE
ELECTRONS
ENERGY SPECTRA
FOURIER TRANSFORMATION
HAMILTONIANS
HELIUM
HYDROGEN
ITERATIVE METHODS
MAGNETIC FIELDS
MAGNETO-OPTICAL EFFECTS
ORBITS
POTENTIAL ENERGY
POTENTIALS
SINGULARITY
THREE-DIMENSIONAL CALCULATIONS