A METHOD OF NUMERICAL SOLUTION OF THE CHARACTERISTIC VALUE PROBLEMS OF QUANTUM MECHANICS

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1954

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Ohio State University

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1. The General Method. 2. Shuttling Between Coordinate and Momentum Space. 3. Numerical Fourier Analysis 4. The Machine Sorting Problem 5. Adaptation to Two-Body Forces. 6. Change of Center. 7. Legendre Functions and Gaussian Integration. 8. Numerical Spherical Harmonic Analysis. 9. Inverse Square Law Forces. 10. The Application of Gaussian Methods with Laguerre Functions. 11. The Application of Gaussian Methods with Gegenbauer Functions. 12. The One-Center Problem Illustrating Numerical Accuracy. 13. The Two-Center Problem. 14. Comparison with Burrau, Hylleraas, and Jaffe. 15. Many-Center and Lattice Problems. 16. Many-Electron Problems. 17. The Normal State of the Helium Atom. 18. Comparison with Hylleraas’ Method. 19. Bartlett’s Series. 20. Nuclear Problems.

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Author Institution: Watson Scientific Computing Laboratory, International Business Machines Corp. Columbia University

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http://hdl.handle.net/1811/7216

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Abstracts of OSU International Symposium on Molecular Spectroscopy 1946-1959