Practice Midterm

Question 1

True or false: A valid wavefunction must be single-valued and not go to infinity

Answer 1

True

Question 2

True or false: a valid wavefunction must be an eigenfunction of the Hamiltonian

Answer 2

False

Question 3

True or false: the eigenvalues of a Hermitian operator must be real numbers

Answer 3

True

Question 4

True or false: The eigenfunctions of a nondegenerate Hermitian Operator must be orthogonal

Answer 4

True

Question 5

Nondegenerate

Answer 5

quantum states that have unique energy levels, meaning that no two states share the same energy value

Question 6

True or false: The most probable location of a particle in a box is always L/2

Answer 6

False

Question 7

True or false: for a particle in a box in a stationary state <p>=0

Answer 7

True

Question 8

True or false: If [A,B] = 0, then A and B must have the same eigenfunctions

Answer 8

True

Question 9

True or false: Any valid wavefunction can be constructed using the eigenfunctions of a Hermitian operator

Answer 9

True

Question 10

True or false: A small particle will behave classically when it has low kinetic energy.

Answer 10

True

Question 11

True or false: The energy of a rigid rotor depends on both quantum numbers l and m

Answer 11

False

Question 12

Kinetic Energy equals

Answer 12

(3/2)kB *T

Question 13

Kinetic Energy equals

Answer 13

(1/2)mv^2

Question 14

mass of electron

Answer 14

9.11 x 10^-31

Question 15

Energy function (1-D)

Question 16

Energy function (2-D)

Question 17

Energy function (3-D)