An improved eigenvalue corrector formula for solving the Schrödinger equation for central fields

Author:
J. W. Cooley

Journal:
Math. Comp. **15** (1961), 363-374

MSC:
Primary 65.66

DOI:
https://doi.org/10.1090/S0025-5718-1961-0129566-X

MathSciNet review:
0129566

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**[1]**D. R. Hartree,*The Calculation of Atomic Structure*, John Wiley and Sons, New York 1957, p. 86. MR**0090408 (19:811a)****[2]**E. C. Ridley, ``The self-consistent field for ,''*Proc. Cambridge Philos. Soc.*v. 51, 1955, p. 702.**[3]**R. A. Rubenstein, M. Huse, & S. Machlup, ``Numerical solution of the Schroedinger equation for central fields,''*MTAC*, v. 10, 1956, p. 30. MR**0076458 (17:902b)****[4]**S. Skillman, ``Efficient method for solving atomic Schrödinger's equation,''*MTAC*, v. 13, 1959, p. 299. MR**0108291 (21:7007)****[5]**R. de L. Kronig & I. I. Rabi, ``The symmetrical top in the undulatory mechanics,''*Phys. Rev.*, v. 29, 1927, p. 262.**[6]**B. Numerov,*Publs. observatoire central astrophys. Russ.*, v. 2, 1933, p. 188.**[7]**P. O. Löwdin,*An Elementary Iteration-Variation Procedure for Solving the Schroedinger Equation*, Technical Note No. 11, Quantum Chemistry Group, Uppsala University, Uppsala, Sweden, 1958.**[8]**P. M. Morse, ``Diatomic molecules according to the wave mechanics II. Vibrational levels,''*Phys. Rev.*, v. 34, 1929, p. 57.

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DOI:
https://doi.org/10.1090/S0025-5718-1961-0129566-X

Article copyright:
© Copyright 1961
American Mathematical Society