Physics 519
Homework Set #3
Due in class 4/24/13
Spring 2013
300 pts
1.(100 pts) Sakurai 5.35. Simplied photo-electric eect. You do not need to
repeat steps worked out in Sakurai (and also in lectures) to obtain a general
formula for the transition rate.
Physics 519
MIDTERM
Name:
Spring 2013
6/3/13
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
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 #7
Due in class 5/29/13
Spring 2013
300 pts
Problems from 2010 and 2011 Finals
1.(100 pts) Scattering from a cylindrical potential. Particles of mass m scatter
from a cylindrical potential well of uniform strength V0 , radius R an
Physics 519
Homework Set #6
Due in class 5/22/13
Spring 2013
300 pts
1.(100 pts) Sakurai, 7.1: The Lippmann-Schwinger formalism can also be
applied to a one-dimensional transmission-reection problem with nite-range
potential, V (x) = 0 for 0 < |x| < a onl
Physics 519
Homework Set #5
Due in class 5/15/13
Spring 2013
300 pts
1.(150 pts) We know that for central potentials V (r) of nite range R the
solution to the radial Schrdinger equation for r > R is given by a superposition
o
of spherical Bessel and Neuma
Physics 519
Homework Set #4
Due in class 5/8/13
Spring 2013
300 pts
1. (100 pts) Many particles.
a. Suppose you have three particles, and three distinct one-particle states
(a (x), b (x), and c (x) are available. How many dierent three-particle
states can
Physics 519
Homework Set #2
Due in class 4/17/13
Spring 2013
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
Homework Set #1
Due in class 4/10/13
Spring 2013
300 pts
Time Indepdendent Perturbation Theory:
1.(100 pts) Sakurai, 5.3: Consider a particle in a two-dimensional potential
V0 =
0 for 0 x L, 0 y L,
otherwise.
Write the energy eigenfunctions f