Physics 4605
Quantum Theory of Matter B
Problem Set VI
Due: Friday, March 1, 2013
6.1 Problem 6.1, Griths, Pg. 254.
6.2 Problem 6.2, Griths, Pg. 254.
6.3 Consider two identical spin-1/2 fermions of mass m placed in a one-dimensional innite
square well of
Physics 4605
Quantum Theory of Matter B
Problem Set IV
Due: Friday, February 8, 2013
4.1 Problem 5.2, Griths, Pg. 203.
4.2 Problem 5.4, Griths, Pg. 206.
4.3 Consider two noninteracting particles, both with mass m, moving in the presence of the
harmonic po
Quantum Theory of Matter B
Exam I
February 22, 2013
PHY 4605 Name: _ _ _-
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1. (30 pts) The gure below shows the parahelium and orthoheliuni energy levels of the
helium atom. In these states one electron is in the ls sta
Quantum Theory of Matter B
Exam H
April 121 2013
PHY 4605 Name: _ _ _,
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1. (15 pts) Give short clear denitions of the following.
(a) (5 pts) SpinOrbit coupling.
7Z1 aw 15/32)? m 0/ me;
Méoé grater %Z:;'ér J4 QM M in
éw
Physics 4605
Quantum Theory of Matter B
Problem Set X
Due: Monday, April 8, 2013
10.1 Consider a quantum particle conned to move in one dimension in the presence of an
attractive potential V (x) with the property that V (x) 0 for all x and limx V (x) = 0
PHY 4605
Quantum Theory of Matter B
Exam II
April 12, 2013
Name:
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1. (15 pts) Give short clear denitions of the following.
(a) (5 pts) Spin-Orbit coupling.
(b) (5 pts) The Zeeman eect.
(c) (5 pts) The ne-structure const
PHY 4605
Quantum Theory of Matter B
Exam I
February 22, 2013
Name:
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1. (30 pts) The gure below shows the parahelium and orthohelium energy levels of the
helium atom. In these states one electron is in the 1s state and t
Physics 4605
Quantum Theory of Matter B
Problem Set I
Due: Friday, Jan 18, 2013
1.1 Consider a quantum particle in a state with l = 2.
(a) Write all ve l = 2 spherical harmonics in Cartesian coordinates. For example, consider the case m = 2. The correspon
Physics 4605
Quantum Theory of Matter B
Problem Set II
Due: Friday, Jan 25, 2013
2.1 Problem 4.25, Griths, Pg. 172.
2.2 Problem 4.26, Griths, Pg. 177.
2.3 Problem 4.27, Griths, Pg. 177.
2.4 Problem 4.29, Griths, Pg. 177.
2.5 Problem 4.30, Griths, Pg. 178.
Physics 4605
Quantum Theory of Matter B
Problem Set XII
Due: Friday, April 26, 2013
12.1 Recall that the ground state of hydrogen (1s) is split due to the hyperne coupling
of the electron and proton magnetic moments. Consider the decay from the triplet st
Physics 4605
Quantum Theory of Matter B
Problem Set XI
Due: Friday, April 19, 2013
11.1 A hydrogen atom in its rst excited state (2p) is placed in a cavity. At what temperature of the cavity are the transition probabilities for spontaneous emission and st
Physics Qualifying Examination Problems 16 Problems 7-12 1. Solve each problem. 2. Start each problem solution on a fresh page. You may use multiple pages per problem. 3. Turn in at least one page per problem, even if you give no solution. At the top
April 18, 2000
HOMEWORK
6
Course 314,Introduction In Quantum Mechanics,Professor K. Gri oen
Department of Physics, College of William and Mary, Williamsburg, Virginia 23185
1 Problem 7 1
:
Use the gausian trial function Equation 7:2 to obtain the
PHY 4605
Quantum Theory of Matter B
E xam I
February 29, 2012
Name:
S
- - .
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1 . (40 pts) Consider a spin-+ particle with gyromagnetic ratio y placed in a uniform magnetic
T he Hamiltonian operator for this particle is
PHY 4605
Quantum Theory of Matter B
Exam I
February 29, 2012
Name:
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1. (40 pts) Consider a spin- 1 particle with gyromagnetic ratio placed in a uniform magnetic
2
eld pointing in the y -direction, B = B0. The Hamiltonia
PHY 4605
Quantum Theory of Matter B
Exam I1
April 6, 2012
Name: -
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1. (40 pts) Consider a one-dimensional quantum particle of mass rn bound by the delta
function potential V (x) = - a6(x) where a, > 0.
In what follows u
PHY 4605
Quantum Theory of Matter B
Exam II
April 6, 2012
Name:
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1. (40 pts) Consider a one-dimensional quantum particle of mass m bound by the delta
function potential V (x) = (x) where > 0.
V ( x)
0
b ( x)
V ( x) ( x
Physics 4605
Quantum Theory of Matter B
Problem Set XI
Due: Friday, April 20, 2012
11.1 Problem 9.14, Griths, Pg. 363.
11.2 Problem 11.2, Griths, Pg. 399.
11.3 Consider the scattering of a particle with energy E from the soft-sphere potential,
V , if r a
Physics 4605
Quantum Theory of Matter B
Problem Set IX
Due: Monday, April 1, 2013
9.1 Problem 6.23, Griths, Pg. 280.
9.2 Problem 6.25, Griths, Pg. 283
9.3 Problem 7.2, Griths, Pg. 298.
9.4 Problem 7.7, Griths, Pg. 303.
9.5 Problem 7.13, Griths, Pg. 310.
9
Physics 4605
Quantum Theory of Matter B
Problem Set V
Due: Friday, February 15, 2013
5.1 Problem 5.7, Griths, Pg. 210.
5.2 Problem 5.10, Griths, Pg. 214.
5.3 Consider two electrons bound to a nucleus with charge +Ze. For Z = 2 this describes a
He atom, fo