Note: Each problem in this column concerns a quanton moving in one dimension in response to the potential energy function $V(x)$ shown. The graph below the potential energy graph shows the energy eigenfunction (EEF) $\psi_{n}(x)$ corresponding to the energy shown as a horizontal line on the potential energy graph ( $E_{n}$ means the $n$th energy level, where $n=1$ is the ground state). In each case, there is something wrong with the energy eigenfunction shown. Select from the following responses to indicate what is wrong:
The EEF shown is incorrectly drawn because

A) It curves toward the axis in a forbidden region or away from the axis in an allowed region.
B) Its wavy part doesn't have the right number of bumps.
C) The amplitude of the wavy part varies incorrectly.
D) The wavelength of the wavy part varies incorrectly.
E) One of the exponential-like tails has the wrong length.

Question

Note: Each problem in this column concerns a quanton moving in one dimension in response to the potential energy function $V(x)$ shown. The graph below the potential energy graph shows the energy eigenfunction (EEF) $\psi_{n}(x)$ corresponding to the energy shown as a horizontal line on the potential energy graph ( $E_{n}$ means the $n$th energy level, where $n=1$ is the ground state). In each case, there is something wrong with the energy eigenfunction shown. Select from the following responses to indicate what is wrong:
The EEF shown is incorrectly drawn because

A) It curves toward the axis in a forbidden region or away from the axis in an allowed region. 
B) Its wavy part doesn't have the right number of bumps. 
C) The amplitude of the wavy part varies incorrectly. 
D) The wavelength of the wavy part varies incorrectly. 
E) One of the exponential-like tails has the wrong length.

Quizplus · Accepted Answer

The Answer of Note: Each problem in this column concerns a quanton moving in one dimension in response to the potential energy function $V(x)$ shown. The graph below the potential energy graph shows the energy eigenfunction (EEF) $\psi_{n}(x)$ corresponding to the energy shown as a horizontal line on the potential energy graph ( $E_{n}$ means the $n$th energy level, where $n=1$ is the ground state). In each case, there is something wrong with the energy eigenfunction shown. Select from the following responses to indicate what is wrong:
The EEF shown is incorrectly drawn because

A) It curves toward the axis in a forbidden region or away from the axis in an allowed region. 
B) Its wavy part doesn't have the right number of bumps. 
C) The amplitude of the wavy part varies incorrectly. 
D) The wavelength of the wavy part varies incorrectly. 
E) One of the exponential-like tails has the wrong length.

Note: Each Problem in This Column Concerns a Quanton Moving V(x)V(x)V(x)

Note: Each Problem in This Column Concerns a Quanton Moving $V(x)$