Abstract
In Chaps. 13 and 15 we have seen that the Schrödinger equation can be solved relatively simply for the motion of a particle in the spherically symmetric potential V (r) . The Schrödinger equation for the relative motion of two particles, which interact with each other by a spherically symmetric potential, can be reduced to this case. It is more difficult when the potential is no longer spherically symmetric or when three particles mutually interact.
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References
E.A. Hylleraas: Z. Phys. 54, 347 (1929)
E.A. Hylleraas, B. Undheim: Z. Phys. 65, 759 (1930)
H.R. Schwarz, H. Rutishauser, E. Stiefel: Numerical Analysis of Symmetric Matrices (Prentice Hall, Englewood Cliffs, New Jersey 1974)
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© 1988 Springer-Verlag Berlin Heidelberg
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Schmid, E.W., Spitz, G., Lösch, W. (1988). The Ground State of the Helium Atom by the Hylleraas Method. In: Theoretical Physics on the Personal Computer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97088-7_16
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DOI: https://doi.org/10.1007/978-3-642-97088-7_16
Publisher Name: Springer, Berlin, Heidelberg
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