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Can a particle pass through a nodal point where its wave function is zero?

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LetsLet's consider aan infinite square well  .In In the first exited state there is a node at the middle of the well  (i.e. wave function and thus probability of finding the particle is zero there)  . If I measure the position right now  ,I I may foundfind the particle on the left side of the node  ,and and if iI measure the particle after sometimesome time,I I may foundfind the particle on the right side of the node. But doesn'tmust a particle on the left side to go to right side ,mustnot pass through the node point  ? Thus the particle will spend some time at that point  ,so so there should be some probability of finding the particle there  ,but but the wave function is zero there,so so what's wrong with the arguement? Does the particle move here to there  ,without without passing through the space in between  ? But that will just violate continuity equation?

Lets consider a infinite square well  .In the first exited state there is a node at the middle of the well(i.e wave function and thus probability of finding the particle is zero there)  . If I measure the position right now  ,I may found the particle on the left side of the node  ,and if i measure the particle after sometime,I may found the particle on the right side of the node. But doesn't a particle on the left side to go to right side ,must pass through the node point  ? Thus the particle will spend some time at that point  ,so there should be some probability of finding the particle there  ,but wave function is zero there,so what's wrong with the arguement? Does the particle move here to there  ,without passing through the space in between  ? But that will just violate continuity equation?

Let's consider an infinite square well. In the first exited state there is a node at the middle of the well  (i.e. wave function and thus probability of finding the particle is zero there). If I measure the position right now, I may find the particle on the left side of the node, and if I measure the particle after some time, I may find the particle on the right side of the node. But must a particle on the left side to go to right side not pass through the node point? Thus the particle will spend some time at that point, so there should be some probability of finding the particle there, but the wave function is zero there, so what's wrong with the arguement? Does the particle move here to there, without passing through the space in between? But that will just violate continuity equation?

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Can a particle pass through a point where wave function is zero?

Lets consider a infinite square well .In the first exited state there is a node at the middle of the well(i.e wave function and thus probability of finding the particle is zero there) . If I measure the position right now ,I may found the particle on the left side of the node ,and if i measure the particle after sometime,I may found the particle on the right side of the node. But doesn't a particle on the left side to go to right side ,must pass through the node point ? Thus the particle will spend some time at that point ,so there should be some probability of finding the particle there ,but wave function is zero there,so what's wrong with the arguement? Does the particle move here to there ,without passing through the space in between ? But that will just violate continuity equation?