Q. 32

Expert-verifiedFound in: Page 1208

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Prove that the normalization constant of the radial wave function of the hydrogen atom is , as given in Equations 41.7.

The normalization constant of the radial wave function of the hydrogen atom is

We have to prove that the normalization constant of the radial wave function of the hydrogen atom is .

The normalization condition for the three-dimensional hydrogen atom is

(= probability density , = radial wave function , = Bohr radius)

From Equation 41.7, the radial wave function can be written . Thus,

Hence proved.

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