Solution Found!
By differentiation of the 2s radial wavefunction, show that it has two extrema in its
Chapter 10, Problem 10.2(a)(choose chapter or problem)
QUESTION:
By differentiation of the 2s radial wavefunction, show that it has two extrema in its amplitude, and locate them.
Questions & Answers
QUESTION:
By differentiation of the 2s radial wavefunction, show that it has two extrema in its amplitude, and locate them.
ANSWER:Step 1 of 4
The 2s radial wavefunction is given by:
\(\psi=\frac{1}{\sqrt{8}}\left(\frac{Z}{a}\right)^{\frac{3}{2}}(2-\rho) e^{-\frac{e}{2}}\)
The amplitude is therefore
\(|\psi|^{2}=A(2-\rho)^{2} e^{-\rho}\)
Where
\(A=\frac{1}{8}\left(\frac{Z}{a}\right)^{3}\)
Our goal is to find the extrema of \(|\psi|^{2}\).