Abstract
By employing a model potential including the electron exchange energy, we extend the semiclassical closed orbit theory to study the multielectron atoms. Using special region-splitting consistent and iterative method, we figure out the closed orbits in the corresponding classical system and calculate the recurrence spectra of triplet helium atoms in parallel electric and magnetic fields at scaled energy ε=−0.03,n≈40,n=0. The core-scattering effects have been taken into account, which lead to more peaks in the spectra. It has also been confirmed by means of the direct comparison between the spectral portrait in such a plot and those of hydrogen case. In order to compare the theoretic results with experiment, we investigate the closed orbits and recurrence spectra of helium atoms for the similar exchange potential but applied only by single electric field at scaled energy ε=−2.7 case. The spectra are in good agreement with the experimental observation. We conclude that our model is correct and it is necessary to consider the exchange effect for determining the photoabsorption spectra of multielectron atoms in strong external fields.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Du, M. L., Delos, J. B., Effect of closed classical orbits on quantum spectra: Ionization of atoms in a magnetic field (I)—Physical picture and calculations, Phys. Rev. A, 1988, 38(4): 1896–1912.
Du, M. L., Delos, J. B., Effect of closed classical orbits on quantum spectra: Ionization of atoms in a magnetic field (II)—Derivation of formulas, Phys. Rev. A, 1988, 38(4): 1913–1930.
Du, M. L., Photodetachment spectra of H− in parallel electric and magnetic fields, Phys. Rev. A, 1989, 40(3): 1330–1339.
Du, M. L., Delos, J. B., Photodetachment of H− in an electric field, Phys. Rev. A, 1988, 38(11): 5609–5616.
Lin, S. L., Zhang, Q. J., Zhao, K., et al., Semi classical calculations of recurrence spectra for Lithium atom in parallel electric and magnetic fields, Chin. Phys. Lett. 2002, 19(1): 29–31.
Song, X. H., Zhang, Q. J., Lin S. L. et al. Recurrence spectra of non-hydrogen Rydberg atoms in parallel electric and magnetic and magnetic fields, Chinese Phys., 2002, 11(7): 656–660.
Dando, P. A., Monteiro, T. S., Delande, D., et al., Role of core-scattered closed orbits in nonhydrogenic atoms, Phys. Rev. A, 1996, 54(1): 127–138.
Keeler, M. L., Morgan, T. J., Core-scattered combination orbits in theM=0 Stark spectrum of helium, Phys. Rev. A, 1999, 59(6): 4559–4563.
Hüpper, B., Main, J., Wunner, G., Nonhydrogenic Rydberg atoms in a magnetic field: A rigorous semiclassical approach, Phys. Rev. A 1996, 53(2): 744–759.
Zeng, J. Y., Quantum Mechanics (in Chinese), 3rd ed., Beijing: Science Press 2001.
Shaw, J. A., Robicheaux, F., Recurrence spectroscopy of atoms in electric fields: Scattering in the presence of bifurcations, Phys. Rev. A, 1998, 58(5): 3561–3566.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, S., Li, H., Wang, D. et al. Recurrence spectra of He atoms in strong external fields. Sci China Ser G: Phy & Ast 47, 477–484 (2004). https://doi.org/10.1360/03yw0250
Received:
Issue Date:
DOI: https://doi.org/10.1360/03yw0250