Question

A proton, a neutron, and an electron are trapped in identical one-dimensional infinite potential wells; each particle in its ground state.

a.) At the center of the wells, is the probability density for the proton greater than, less than, or equal to that of the electron? Explain.

b.) At the center of the wells, is the probability density for the neutron greater than, less than, or equal to that of the electron? Explain.

Answer 1

so we found that probability density of a particle at the center of the box depends only on the size of the box but not on the masses of the particles. hence the probability density of all the three particles will be equal

a) both proton and electron probability density equal

b) both electron and neutron probability density equal.