For a particle in a finite box,which of the following is not true?
A) The energies are quantized for bound states.
B) The bound-state wave functions at the walls do not have to be zero.
C) The wave function can exist outside the walls.
D) There is the same number of bound states in a finite box as in a box with infinite walls.
E) None of these statements are true.

Question

Quizplus · Accepted Answer

The number of bound states in a finite box is always finite and dependent on the size of the box, while the number of bound states in a box with infinite walls is infinite. Therefore, D is not true. A, B, and C are true statements for a particle in a finite box. E is also incorrect as there are true statements in the given options.

For a Particle in a Finite Box,which of the Following