52. A particle in a one-dimensional rectangular "potential well" width l with infinitely high "walls" is in an excited state (n = 3). Determine at which points the "pit" (0 ≤ x ≤ l) the probability density of finding a particle: 1) maximum; 2) minimal. Explain the result graphically.

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)