1
answer
0
watching
146
views
10 Nov 2019
We consider a particle in a two-dimensional square well with side a. The well lies in the (x - y) plane, as shown in the figure (the left panel shows a top-view of the well, and the right panel shows the well and particle in perspective.) Since the "motion" of the particle in the x direction is independent of its motion in the y direction, the spatial part of the wavefunction is separable. Thus, the generic wavefunction for the particle in the well is psi(x, y) = A sin nx pi x/a sin ny pi y/a, Find the ground-state energy E0 and then enumerate the energies of all the states with 1 nx, ny 3 with respect to E0. (Note that E0 does not correspond to nx = ny = 0: this is not an allowed state for the particle. Why?) How many anti-nodes appear in the probability distribution psi*psi for each of the states enumerated in part (c)?
We consider a particle in a two-dimensional square well with side a. The well lies in the (x - y) plane, as shown in the figure (the left panel shows a top-view of the well, and the right panel shows the well and particle in perspective.) Since the "motion" of the particle in the x direction is independent of its motion in the y direction, the spatial part of the wavefunction is separable. Thus, the generic wavefunction for the particle in the well is psi(x, y) = A sin nx pi x/a sin ny pi y/a, Find the ground-state energy E0 and then enumerate the energies of all the states with 1 nx, ny 3 with respect to E0. (Note that E0 does not correspond to nx = ny = 0: this is not an allowed state for the particle. Why?) How many anti-nodes appear in the probability distribution psi*psi for each of the states enumerated in part (c)?
Keith LeannonLv2
2 Sep 2019