- #1
Tspirit
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- 6
Homework Statement
In Griffiths' book "Introduction to Quantum Mechanics", Section 2.3, Chapter 2, the Fig. 2.7 gives the plots of the wave function (##\psi_{n}##) and its modulus of the harmonics oscillator, see the Appendix. With the order (##n##) increasing, they become both higher. However, according to the Equation [2.85], the wave function shouldn't be higher with ##n## increasing. They are just a normalizable wave function, if the baseline is greater than 1, it won't normalize. So how to understand the plots?
Homework Equations
$$\psi_{n}(x)=(\frac{m\omega}{\pi\hbar})^{1/4}\frac{1}{\sqrt{2^{n}n!}}H_{n}(\xi)e^{-\xi^{2}/2}$$
$$\xi\equiv x\sqrt{m\omega/\hbar}$$
The Attempt at a Solution
I doubt if it is just a demonstration of Energy level and the plots' height is not related to the wave function.