Group theory 101
Suggested reading:
Landau & Lifshits, Quantum Mechanics, Ch. 12
Tinkham, Group Theory and Quantum Mechanics
Dresselhaus, Dresselhaus, Jorio, Group Theory:
Applications to the Physics of Condensed Matter
Ramond, Group Theory: a Physicists
PHY6095/PHZ6166: Final exam: Solutions
due, Tuesday, 04/30, 10 a.m.
submit your work either in person or by e-mail
You must work individually to receive full credit
2
Problem 1: 34 points
A neutron star can be considered as an ideal and degenerate Fermi
PHY6095/PHZ6166: homework assignment #2
SOLUTIONS
2
1. Problem 1
a) The rst step is to re-scale the integration variable
dx
I=
x(x + b)
0
ex/a
(y = x/a) =
(1)
dy
y (y + c)
0
ey
(2)
where c b/a.
i) a
bc
1. Assume that typical y are
divergence at y = 0
c. T
PHY6095/PHZ6166: Midterm: Solutions
Wednesday, February 27
2
Problem 1: 35 points
How strong a (static) electric eld should be to ionize a hydrogen atom? Express your answer via the fundamental
constants: the electron charge e, the electron mass m, the P
PHY6095/PHZ6166: homework assignment # 3
due Friday, March 22
2
Problems 1 and 3 deal with the Thomas-Fermi model. You may want to supplement the discussion of this model in
class by reading a corresponding chapter of your favorite QM textbook.
1. Problem
PHY6095/PHZ6166: homework assignment #1
Solutions
2
.
1. Problem 1 (when answering questions in this problem, always choose the most restrictive condition. For
example, out of two possible answers 1 1.1 and 1 1.1, the last one is considered to be correct.
PHY6095/PHZ6166: homework assignment # 4:
Solutions
due Monday, April 22
2
1. Problem 1
Fill in the blanks (complete proof is required!)
pseudoscalar]:
[v polar vector, p pseudovector, s scalar, a
a) v p = v
b) p p = p
c) v v = s
d) p p = s
e) s(v p) = a
PHY6095/PHZ6166: Final exam
due: Tuesday, 04/30, 10 a.m.
submit your work either in person or by e-mail
You must work individually to receive full credit
2
Problem 1: 34 points
A neutron star can be considered as an ideal and degenerate Fermi gas at T =