# Interpretation of nodes of infinite square well

In the infinite square well, there is zero probability of finding a particle at nodes. What is the meaning of this result? Does the particle teleport in the regions between the nodes?

Or is it that this is a meaningless question in standard Copenhagen interpretation?

Based on the comments on this question, I believe that my point has not come across. Thus I'd like to refer to this question which has a very similar spirit to mine.

• actually the probability is not just $\vert \psi(x)\vert^2$ rather $\vert\psi(x)\vert^2 dx$, and $\psi$ is not $0$ everywhere in the interval of size $dx$ near a node. Commented Mar 28 at 1:36
• Repeating myself: $\vert \psi\vert^2$ is a probability density, so the probability $\vert\psi\vert^2 dx$ is not exactly $0$ near a node. There is no such thing as “the probability at a point”. Commented Mar 28 at 1:47
• As you note, the question is meaningless, QM tells you nothing about what the particle is actually doing inside the well. You only get the relevant probabilities. You can ask about the probability of the particle getting from here to there (transition amplitude) but not how physically the particle travels or behaves over the interval of its transition. Commented Mar 28 at 2:09
• well then I do not understand your question. The probability density is just that: a density. It does not describe the “motion” of anything as it is time-independent. In a situation where a large number of identical systems are prepared, and the position is measured, there are some regions where the particle is seldom found. There is no sense in which a particle “traverses a node” or teleports across one. It’s a distribution of possible locations. Commented Mar 28 at 2:35
• You seem to think that a quantum particle has a trajectory, and thus must pass through the nodes. It doesn’t have a trajectory. Commented Mar 28 at 4:54