- #1

somebody-nobody

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In summary: ZapperZ said: "The probability density at certain points for a particle in a box is zero.Does this imply that the particle cannot move across these points"No, by saying that, you are assuming that you can track the particle's trajectory every step of the way. All the probability density says is that when you make a measurement, the probability of finding the particle at the nodes is zero.

- #1

somebody-nobody

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- #2

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somebody-nobody said:

No, because by saying that, you are assuming that you CAN track the particle's trajectory every step of the way. All the probability density says is that when you make a measurement, the probability of finding the particle at the nodes is zero.

Zz.

- #3

pibomb

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somebody-nobody said:

Like ZapperZ said, the probability density merely defines where you can find the particle when you measure. To figure out if a particle will ever move in a spot of "zero", you should use the schrodinger equation.

- #4

pmb_phy

- 2,952

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Yep. The proplem is with the question itself. The OP used the termZapperZ said:No, because by saying that, you are assuming that you CAN track the particle's trajectory every step of the way. All the probability density says is that when you make a measurement, the probability of finding the particle at the nodes is zero.

Zz.

Pete

A "Particle in a Box" refers to a theoretical model used in quantum mechanics to describe the behavior of a particle confined within a finite space. It assumes that the walls of the box are infinitely high and the particle has zero potential energy outside of the box.

In a Particle in a Box system, the wave function of the particle can have areas with zero probability density. This means that there is no chance of finding the particle in those specific points within the box.

This phenomenon is a result of the wave nature of particles in quantum mechanics. The wave function of the particle can interfere with itself, causing certain points to have a cancellation of probability density, resulting in a zero probability of finding the particle at those points.

The size of the box directly affects the energy levels and probability density of a Particle in a Box. As the box size increases, the energy levels become more closely spaced and the probability density becomes more evenly distributed throughout the box.

No, a Particle in a Box cannot have a non-zero probability density at every point. This is because of the finite energy levels of the particle within the box. There will always be certain points with zero probability density due to the wave nature of the particle and the interference of its wave function.

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