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Thomas-Fermi Differential Equation


The Thomas-Fermi differential equation is the second-order ordinary differential equation

 y^('')=y^(3/2)x^(-1/2),

where x>0 and, for a real solution, y(x) is nonnegative.


See also

Ionization Conjecture, Thomas-Fermi Model

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References

Bender, C. M. and Orszag, S. A. Advanced Mathematical Methods for Scientists and Engineers. New York: McGraw-Hill, p. 25, 1978.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 127, 1997.

Referenced on Wolfram|Alpha

Thomas-Fermi Differential Equation

Cite this as:

Weisstein, Eric W. "Thomas-Fermi Differential Equation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Thomas-FermiDifferentialEquation.html

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