Verify that the wave function found in Problem 7-28 is a solution of the time-independent Schrdinger equation,

Verify that the wave function found in Problem 7-28 is a solution of the time-independent Schrödinger equation, Equation 7-9.

Problem 7-28

Write down the wave function for the hydrogen atom when the electron’s quantum numbers are n = 3, ℓ = 4, and m_ℓ = -1. Check to be sure that the wave function is normalized.

Transcribed Image Text:

²1 a 2μ r² ar 2014 ər ħ² a 2pr² sin 0 20 sin 0- 30 + 1 2² ² sin² 0 + V(r) = Eu 7-9