Nodes of Wavefunctions

Details Nodes of Wavefunctions Nodes of Wavefunctions

2007-02-27

arxiv.org/abs/quant-ph/0702260v1

Am. J. Phys. 75, 284-285 (2007)

Physics

Quantum Physics

5 pages

Scientific paper

We give a simple argument to show that the $n$th wavefunction for the
one-dimensional Schr\"odinger equation has $n-1$ nodes. We also show that if
$n_1 < n_2$, then between two consecutive zeros of $\psi_{n_1}$, there is a
zero of $\psi_{n_2}$.

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