Consider electron in an infinite potential well, studied in quantum mechanics. Position probability density of the electron is
$$ P_n(x)=\left(\frac{2}{L}\right)\sin^2\left(\frac{n\pi x}{L}\right)$$
where $0\leq x\leq L $ and $L$ is length of the box.
So for $n>1$, probability density & hence probability of finding location of the electron at certain $x$ is $0$. The electron moves from left to right & right to left between the walls of the well. So Mathematics says that electron can not be found at certain $x$ node locations within the box; which is very strange. But is there any experimental evidence for this? While crossing these special $x$ node locations, as if electron disappears from the box. This is very absurd.
My question is: Is this a just mathematical result (without any reality) or a physical reality/actuality?
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