He I Ground‐State Wave Function of the Form ψ=f(r1)f(r2)g(r12)*

作者: Louis C. Green , Cynthia Stephens , Eleanor K. Kolchin , Carolyn Chandler Chen , Patricia P. Rush

DOI: 10.1063/1.1730082

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摘要: A variational trial wave function of the form ψ=f(r1)f(r2)g(r12) has been applied to ground state He I. In Sec. I, f(r) is taken be an arbitrary and g(r12) as linear. The slope are chosen yield minimum energy. energy, —5.79613RHehc, f compared with results earlier work obtained analytic functions. table charge distribution given. that from a Hartree‐Fock difference discussed.In II, exponential function. coefficient in exponent —5.78252RHehc, behavior g shown by its asymptotic series. probable effectiveness ψ if both ...

参考文章(12)
Erwin Bareiss, D. R. Hartree, The calculation of atomic structures ,(1957)
T. D. H. Baber, H. R. Hassé, A comparison of wave functions for the normal helium atom Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 33, pp. 253- 259 ,(1937) , 10.1017/S0305004100019605
Louis C. Green, Margaret N. Lewis, Marjorie M. Mulder, Cynthia W. Wyeth, John W. Woll, Correlation Energies and Angular Components of the Wave Functions of the Ground States of H - , He i, and Li ii Physical Review. ,vol. 93, pp. 273- 279 ,(1954) , 10.1103/PHYSREV.93.273
Egil A. Hylleraas, Neue Berechnung der Energie des Heliums im Grundzustande, sowie des tiefsten Terms von Ortho-Helium European Physical Journal. ,vol. 54, pp. 347- 366 ,(1929) , 10.1007/BF01375457
Louis C. Green, Satoshi Matsushima, Cynthia Stephens, Eleanor K. Kolchin, Majorie M. Kohler, Yenking Wang, Barbara B. Baldwin, Robert J. Wisner, Effect on the Energy of Increased Flexibility in the Separable Factor of Hylleraas-Type Atomic Wave Functions from H - to O VII Physical Review. ,vol. 112, pp. 1187- 1191 ,(1958) , 10.1103/PHYSREV.112.1187
S. Chandrasekhar, G. Herzberg, Energies of the Ground States of He,Li+, andO6+ Physical Review. ,vol. 98, pp. 1050- 1054 ,(1955) , 10.1103/PHYSREV.98.1050
W. S. Wilson, R. B. Lindsay, Atomic Wave Functions for Some Excited States of Helium Physical Review. ,vol. 47, pp. 681- 686 ,(1935) , 10.1103/PHYSREV.47.681
Louis C. Green, Marjorie M. Mulder, Margaret N. Lewis, John W. Woll, A Discussion of Analytic and Hartree-Fock Wave Functions for 1s 2 Configurations from H - to C v Physical Review. ,vol. 93, pp. 757- 761 ,(1954) , 10.1103/PHYSREV.93.757
Louis C. Green, Carolyn D. Chandler, Patricia P. Rush, Ground-State Wave Functions for He i and H - Obtained by the Superposition of Central Field Functions Physical Review. ,vol. 104, pp. 1593- 1595 ,(1956) , 10.1103/PHYSREV.104.1593
Toichiro Kinoshita, Ground State of the Helium Atom Physical Review. ,vol. 105, pp. 1490- 1502 ,(1957) , 10.1103/PHYSREV.105.1490