Physics 519
MIDTERM
Name:
Spring 2012
4/25/12
80 pts 1 point per minute
Exam procedures.
Please write your name above.
Please sit away from other students.
If you have a question about the exam, please ask.
This is a closed book exam. All relevant for
Physics 519
MIDTERM
Name:
Spring 2014
4/30/14
80 pts 1 point per minute
Exam procedures.
Please write your name above.
Please sit away from other students.
If you have a question about the exam, please ask.
This is a closed book exam. All relevant for
Physics 519
MIDTERM
Name:
Spring 2014
4/30/14
80 pts 1 point per minute
Exam procedures.
Please write your name above.
Please sit away from other students.
If you have a question about the exam, please ask.
This is a closed book exam. All relevant for
Physics 519
Homework Set #5
Spring 2014
Due in class 5/14/14
300 pts
1.(150 pts) Sakurai, 7.9: Consider scattering by a repulsive -shell potential:
2m
2
h
V (r) = (r R),
( > 0)
a. Set up an equation that determines the s-wave phase shift 0 as a function
o
Physics 519
Homework Set #5
Spring 2014
Due in class 5/14/14
300 pts
1.(150 pts) Variations on Sakurai, 7.9: Consider scattering by a repulsive shell potential:
2m
V (r) = (r R), ( > 0)
2
h
a. Set up an equation that determines the s-wave phase shift 0 as
Physics 519
Homework Set #4
Spring 2014
Due in class 5/7/14
300 pts
1.(100 pts) Fermi Energies.
a. Variations on Sakurai, 6.1: N identical, non-interacting spin 1/2 particles
are subjected to a one-dimensional simple harmonic oscillator potential. What
is
Physics 519
Homework Set #1
Due in class 4/9/14
Spring 2014
300 pts
n
1. (100 pts) The notation f (x)
n=0 an x denotes an asymptotic expansion. It means that f (x) is asymptotic to any partial sum of the series
with an error which scales like the rst neg
Physics 519
Homework Set #2
Due in class 4/16/14
Spring 2014
300 pts
1.(100 pts) Sakurai, 5.11.: The Hamiltonian matrix for a two-state system
can be written as:
0
E1
H=
.
0
E2
Clearly the energy eigenfunctions for the unperturbed problems ( = 0) are
gi
Physics 519
Homework Set #1
Due in class 4/9/14
Spring 2014
300 pts
n
1. (100 pts) The notation f (x)
n=0 an x denotes an asymptotic expansion. It means that f (x) is asymptotic to any partial sum of the series
with an error which scales like the rst neg
Physics 519
Homework Set #2
Spring 2014
Due in class 4/16/14
300 pts
1.(100 pts) Sakurai, 5.11.: The Hamiltonian matrix for a two-state system
can be written as:
0
E1
.
H=
0
E2
Clearly the energy eigenfunctions for the unperturbed problems ( = 0) are
gi
Physics 519
Homework Set #4
Spring 2014
Due in class 5/7/14
300 pts
1.(100 pts) Fermi Energies.
a. Variations on Sakurai, 6.1: N identical, non-interacting spin 1/2 particles
are subjected to a one-dimensional simple harmonic oscillator potential. What
is
Physics 519
Homework Set #3
Spring 2014
Due in class 4/23/14
300 pts
1.(100 pts) Sakurai, 5.23: A one dimensional harmonic oscillator is in its
ground state for t < 0. For t 0 it is subjected to a time dependent but
spatially uniform force (not potential!
Physics 519
MIDTERM
Name:
Spring 2013
5/1/13
80 pts 1 point per minute
Exam procedures.
Please write your name above.
Please sit away from other students.
If you have a question about the exam, please ask.
This is a closed book exam. All relevant form
Physics 519
Homework Set #3
Due in class 4/23/14
Spring 2014
300 pts
1.(100 pts) Sakurai, 5.23: A one dimensional harmonic oscillator is in its
ground state for t < 0. For t 0 it is subjected to a time dependent but
spatially uniform force (not potential!
Physics 519
MIDTERM
Name:
Spring 2014
6/2/14
80 pts 1 point per minute
Exam procedures.
Please write your name above.
Please sit away from other students.
If you have a question about the exam, please ask.
This is a closed book exam. All relevant form