PHY 4604
Quantum Theory of Matter A
Final
December 13, 2011
Name:
Show all work to receive full credit
1. (20 pts) Sketch the wave function (x) and the probability distribution  (x)2 for the
ground state (n = 1) and the rst excited state (n = 2) of the
PHY 4604
Quantum Theory of Matter A
Exam I
October 14, 2011
Name:
4


.
Show all work to receive full credit
1 . (25 p ts) Consider a quantum particle described at t = 0 by the wavefunction,
for x
> 0,
for x < 0,
where X > 0 a nd k are realvalued const
PHY 4604
Quantum Theory of Matter A
Exam I
October 14, 2011
Name:
Show all work to receive full credit
1. (25 pts) Consider a quantum particle described at t = 0 by the wavefunction,
(x, 0) =
Axex eikx
0
for x 0,
for x < 0,
where > 0 and k are realvalued
PHY 4604
~uantum heo or^ of Matter A
Exam I1
November 21, 2011
Show all work t o receive full credit
1. (40 pts) Consider the Hermitian operator Q corresponding to the physical observable Q.
Denote the eigenstates and eigenvalues of Q by [ en)a nd A n, r
PHY 4604
Quantum Theory of Matter A
Exam II
November 21, 2011
Name:
Show all work to receive full credit
1. (40 pts) Consider the Hermitian operator Q corresponding to the physical observable Q.
Denote the eigenstates and eigenvalues of Q by en and n , r