“Rayleigh-Ritz Variational Technique”的概念、定义、习题解题方法及翻译-数学辞典

单词

Rayleigh-Ritz Variational Technique

释义

Rayleigh-Ritz Variational Technique

A technique for computing Eigenfunctions and Eigenvalues. It proceeds byrequiring

(1)

to have a Stationary Value subject to the normalization condition

(2)

and the boundary conditions

(3)

This leads to the Sturm-Liouville Equation

(4)

which gives the stationary values of

(5)

(6)

where

are the Eigenvalues corresponding to the Eigenfunction

References

Arfken, G. ``Rayleigh-Ritz Variational Technique.'' §17.8 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 957-961, 1985.

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