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The variational principle in the statistical model of the atom

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  • Jablonski, Aleksander

Abstract

The Thomas-Fermi-Dirac differential equation for the neutral atom was proved to be equivalent to the variational problem with movable boundary. The functional corresponding to the TFD equation can be used to determine the analytical solution with controlled accuracy, or can be a criterion to compare the accuracy of different solutions. The function published by Bonham and Strand is found to be the most accurate analytical solution available at present.

Suggested Citation

  • Jablonski, Aleksander, 1985. "The variational principle in the statistical model of the atom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 27-37.
    • Handle: RePEc:eee:phsmap:v:134:y:1985:i:1:p:27-37
    DOI: 10.1016/0378-4371(85)90154-2
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    1. Elstrand, Eivind, 1963. "Economics Of Large-Scale Milk Production In Norway And Other Countries With Special Emphasis On Cow Pools," Graduate Research Master's Degree Plan B Papers 11062, Michigan State University, Department of Agricultural, Food, and Resource Economics.
    2. Shimizu, Yoshinori, 1980. "“The Chicago Tradition” and the Empirical Relevance of the Modern Quantity Theory of Money," Hitotsubashi Journal of commerce and management, Hitotsubashi University, vol. 15(1), pages 28-35, October.
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