COURSE TIME: TuTh 10:30-11:50 am.
COURSE LOCATION: Physics-Geology 185.
INSTRUCTOR: Richard Scalettar
OFFICE: Physics-Geology 409.
OFFICE HOURS: TuTh noon-1:00 pm; or by appointment.
PROBLEM SESSION: Monday noon - 1:00 pm, Physics 416;
Attendence is OPTIONAL !
5-6 Problems Sets, 60%, due Thursdays.
Midterm Exam, Thursday February 6, in class, 15%
Final Exam, Friday March 21, 6:00-8:00 pm, 25%
We will follow Prof. Cheng's Physics 215A recommendation of
"Modern Quantum Mechanics," by J. J. Sakurai,
Revised Edition, and "Principles of Quantum Mechanics," by R. Shankar,
2nd Edition. As with 215A,
we will not follow exactly the order
of these books but much of the emphasis will be similar.
DISCUSSION LEADER: Kara Farnsworth
OFFICE: Physics/Geology 434
OFFICE HOURS: Wednesday 1:00-2:00 pm.
This is a continuation of the first year graduate sequence in quantum
mechanics. One of our goals will be to introduce some modern quantum
mechanics problems in addition to the more
foundational `historic' material.
We will begin by reviewing and building
on material from Physics 215A:
(illustrates addition of angular momentum, matrix picture of QM, and
introduces an important model in quantum magnetism)
Entanglement entropy (an application of density matrices and
introduces a new tool to explore "quantum phase transitions")
path integral for harmonic oscillator
in "imaginary time"
(builds on intro given in 215A, emphasizes connection to
and then turn to new material, covering:
Time independent perturbation theory
"Tight Binding" Hamiltonians
(another illustration of matrix picture of quantum mechanics,
central model of energy bands in solids)
Time dependent perturbation theory
Course Introduction and 215A Review
Heisenberg Model 1
Heisenberg Model 2
Eigenspectrum of Tridiagonal Matrices
Density Matrix Review
Introduction to the Bethe Ansatz (article)
Hydrogen Atom 1
Hydrogen Atom 2
Easier (?!) 3D QM problems
Classical Scattering (see also
perturbation theory pp 2-3)
Experiments on spin chains
Talk at DARPA OLE meeting
on emulation of quantum spin chains
Fine Structure of Hydrogen
QM virial theorem
Time Dependent Perturbation Theory
Density of States
Scattering Theory 1
PROBLEM SETS AND SOLUTIONS
Problem Set 1
Problem Set 1 Solutions
Problem Set 2
Problem Set 2 Solutions
Problem Set 3
Problem Set 3 Solutions
Midterm Exam Solutions
Problem Set 4
Problem Set 4 Solutions
Problem Set 5
Problem Set 5 Solutions
Final Exam and Solutions
SOME PROBLEM SETS AND EXAMS FROM A PAST 215B COURSE I TAUGHT.
It has been quite a while since I taught 215B, these are the assignments
I managed to find.
We will not follow these very closely, but they are a guide to some
of the material we will cover.
Problem Set 1 (1997)
Problem Set 3 (1998)
Problem Set 4 (1998)
Problem Set 5 (1997)
Problem Set 6 (1997)
Midterm Exam (1998)
Final Exam (1998)