A variational-iterative approximate solution of the Thomas-Fermi equation
Authors:
B. L. Burrows and P. W. Core
Journal:
Quart. Appl. Math. 42 (1984), 73-76
MSC:
Primary 65L60; Secondary 81G35
DOI:
https://doi.org/10.1090/qam/736506
MathSciNet review:
736506
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Abstract: Variational-iterative solutions of the Thomas-Fermi equation are obtained. The rate of convergence of the iterations are examined and the results compared with previous calculations.
- N. Anderson and A. M. Arthurs, Variational solutions of the Thomas-Fermi equation, Quart. Appl. Math. 39 (1981/82), no. 1, 127–129. MR 613956, DOI https://doi.org/10.1090/S0033-569X-1981-0613956-X
- B. L. Burrows and A. J. Perks, Complementary variational principles and variational-iterative principles, J. Phys. A 14 (1981), no. 4, 797–808. MR 609825
- B. L. Burrows and P. W. Core, Complementary variational principles and variational-iterative principles with geometrical interpretations, J. Math. Anal. Appl. 98 (1984), no. 1, 99–110. MR 728519, DOI https://doi.org/10.1016/0022-247X%2884%2990280-4
- B. L. Burrows and P. W. Core, A variational-iterative technique applied to quantum mechanical problems, J. Phys. A 17 (1984), no. 3, 559–567. MR 737985
L. D. Landau and E. M. Lifshitz, Quantum mechanics, Pergamon Press, Oxford, 1958
N. Anderson and A. M. Arthurs, Variational solutions of the Thomas-Fermi equation, Quart. J. App. Math. 39, 172–129 (1981)
B. L. Burrows and A. J. Perks, Complementary variational principles and variational-iterative principles, J. Phys. A. Math. Gen. 14, 797–808 (1981)
B. L. Burrows and P. W. Core, Complementary variational principles and variational-iterative principles with geometric interpretations, J. Math. Anal. Appl. (to appear)
B. L. Burrows and P. W. Core, A variational-iterative technique applied to quantum mechanical calculations, J. Phys. A. Math. Gen. (to appear)
L. D. Landau and E. M. Lifshitz, Quantum mechanics, Pergamon Press, Oxford, 1958
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Article copyright:
© Copyright 1984
American Mathematical Society