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Q. 32

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1208

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Short Answer

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

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Step by Step Solution

Step 1 : Given information

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

Step 2 : Simplification

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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