Abstract
The energies of some excited states with the total angular momentum L=0, 1 and 2. the total spin of two electrons S=0 and 1, and the even and odd parities are precisely calculated directly from the Schrödinger equation where the mass of the helium nucleus is finite. Moreover, we find that the solutions to the equation for the excited states have some more nodes, which can be used to distinguish the states with the same spectral term.
Similar content being viewed by others
References
D.E. Freund, B.D. Huxtable, J.D. Morgan III, Phys. Rev. A 29, 980 (1984).
V.I. Korobov, Phys. Rev. A 61, 064503 (2000).
B. SchifT, H. Lifson, C.L. Pekeris, P. Rabinowitz, Phys. Rev. A 140, 1104 (1965).
R. Krivec, Few-Body Syst. 25, 199 (1998).
U. Fano, D. Green, J.L. Bohn, T.A. Heim, J. Phys. B 32, Rl (1999).
V.B. Mandelzweig, Nucl. Phys. A 508, 63c (1990).
M. Viviani, Few-Body Systems 25, 177 (1998).
C.D. Lin, Phys. Rep. 257, 1 (1995).
M.I. Haftel, V.B. Mandelzweig, Ann. Phys. 189, 29 (1989).
M.I. Haftel, V.B. Mandelzweig, Phys. Lett. A 120, 232 (1987).
M.I. Haftel, V.B. Mandelzweig, Phys. Rev. A 38, 5995 (1988).
N. Barnea, V.B. Mandelzweig, Phys. Rev. A 41, 5209 (1990).
N. Barnea, V.B. Mandelzweig, Phys. Rev. A 44, 7053(1991).
J.Z. Tang, S. Wantanabe, M. Matsuzawa, Phys. Rev. A 46, 2437 (1992).
B. Zhou, C.D. Lin, J.Z. Tang, S. Watanabe, M. Matsuzawa, J. Phys. B 26, 2555 (1993).
B. Zhou, C.D. Lin, J. Phys. B 26, 2575 (1993).
T.A. Herm, D. Green, J. Math. Phys. 40, 2162 (1999).
Y.K. Ho, J. Phys. B 15, L691 (1982).
Y.K. Ho, Phys. Rev. A 34, 4402 (1986).
A. Buegers, D. Wintgen, J.M. Rost, J. Phys. B 28, 3163 (1995).
J. Yan, Y.Z. Qu, V. Voky, J.M. Li, Phys. Rev. A 57, 997 (1998).
P. Selles, J. Mazeau, A. Huetz, J. Phys. B 20, 5183 (1987).
Z.Q. Ma, Sci. Chin. A 43, 1093 (2000).
X.Y. Gu, B. Duan, Z.Q. Ma, Phys. Lett. A 281, 168 (2001).
B. Duan, X.Y. Gu, Z.Q. Ma, Phys. Lett. A 283, 229 (2001).
B. Duan, X.Y. Gu, Z.Q. Ma, Phys. Rev. A 64, 012102 (2001).
B. Duan, X.Y. Gu, Z.Q. Ma, Chin. Phys. Lett. 18, 854 (2001).
S.N. Tan, Commun. Theor. Phys. 35, 71 (2001).
G.W.F. Drake, Atomic Molecular and Optical Physics Handbook (American Institute of physics, New York, 1996); G.W.F. Drake, Z.C. Yan, Phys. Rev. A 46, 2378 (1992).
M. Hesse, D Baye, J. Phys. B: At. Mol. Opt. Phys. 34, 1425 (2001).
G.W.F. Drake, A. Dalgarno, Phys. Rev. A 1, 1325 (1970).
H.G. Berry, I. Martinson, L.J. Curtis, L. Lundin, Phys. Rev. A 3, 1934 (1970).
A.A. Radzig, B.M. Smirnov, Reference Data on Atoms, Molecules, and Ions (Springer Series in Chemical Physics 31, Springer-verlag Berlin, 1985), Chaps. 6 and 7.
NIST Atomic Spectra Database Levels Data He I, http://physics.nist.gov/cgi-bin/AtData/main_asd.
P.G. Kruger, Phys. Rev. 36, 855 (1930).
K.T. Compton, J.C Boyce, J. Franklin Inst. 205, 497 (1928).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Duan, B., Gu, X.Y. & Ma, Z.Q. Numerical calculation of energies of some excited states in a helium atom. Eur. Phys. J. D. 19, 9–12 (2002). https://doi.org/10.1140/epjd/e20020049
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e20020049