Ph125b - **Quantum Mechanics** -
Winter 2007

MW 9:30-11:00am / 107 Downs

Click
here to go to **
Ph125c/Spring 2007**.

**LECTURE NOTES**:
1/3v2 1/8
1/10 1/17
1/22 1/24
1/29 1/31
2/5 2/7v2
2/12v2 2/14
2/21 2/26
2/28 3/5v2
3/7

**HOMEWORK ASSIGNMENTS: **
HW1 HW2
HW3 HW4
HW5 HW6
HW7 HW8v2

**HOMEWORK **
**SOLUTIONS**:
Sol1
Sol2
Sol3 Sol4
Sol5v2
Sol6
Sol7 Sol8v2

__Syllabus__: Basic principles
of quantum mechanics (states, measurement and dynamics) will be introduced in
the first quarter, working entirely within a finite-dimensional framework in
order to make the linear-algebraic structure of the theory as clear as possible.
A probabilistic interpretation of the theory will be emphasized, and examples
from quantum information science will be used to illustrate key concepts.
During the second and third quarters (Ph125bc) the theory will be extended to
infinite-dimensional systems; basic elements of scattering and symmetry
representation theory (including angular momentum) will also be introduced.
Illustrative applications will be developed in atomic and solid-state physics.

__Course materials__: Lecture
notes will be posted above; there is no required textbook. The bookstore
should have copies of Sakurai's *Modern Quantum Mechanics*, which is the
primary suggested (optional) textbook for the course. Other recommended
books (which have not been ordered) include *Quantum Mechanics* (Volumes I
and II) by Cohen-Tannoudji, Diu and Laloe; and *Quantum Mechanics* (3rd
Edition) by Merzbacher. Where possible the lecture notes will provide
references to suggested reading in one or more of these books.

__Grading and homework policy__:
Final letter grades will be based on weekly homework assignments (25%), a
midterm exam (25%), and a final exam (50%). Collaboration on homework
assignments is allowed but each student must produce his/her own write-up based
on his/her own understanding of the problem solutions. **Math software
packages** (such as Mathematica, Maple and Matlab) are of course a tremendous
resource for physics research. **HOWEVER**, as a student it is
absolutely essential that you develop a strong intuition for basic calculations
involving linear algebra, differential equations, and the like. The only
way to develop this intuition is by working lots of problems by hand; skipping
this phase of your education is a **really bad idea**. In Ph125 you are
allowed to use computers/software to check your final answers on homework
problems but you must do all calculations by hand and you must show your work in
your write-ups.

Homework sets are due on Tuesday afternoons at 5:00pm, in the
box outside 24 Bridge Annex. Late homework will be penalized 50% unless **
prior** arrangements are made with the Instructor for an extension. Each
problem will be scored out of three points: 3 = correct answer with correct and
complete reasoning; 2 = correct approach with enough work shown, but incorrect
final answer; 1 = incorrect but reasonable approach, with substantial effort; 0
= insufficient effort made to work the problem. Since the student-to-TA
ratio is rather high in this course the TA's will not make extensive corrections
on anyone's homework. Complete solution sets will be posted and you will
be responsible for analyzing your own mistakes.

__Instructor__:

Hideo Mabuchi -
hmabuchi@caltech.edu

Office: 24 Bridge Annex (also check 266 W. Bridge)

Office hours: Tuesdays 1-3pm; **exceptions: 1/30**

__Teaching assistants__:

Prabha Mandayam -
prabhamd@caltech.edu

Ted Corcovilos -
corcoted@caltech.edu

Miguel Bandres -
bandres@caltech.edu

**Office hours: Monday 4-6pm in 425 Lauritsen**; contact a
TA by email to make other arrangements if you cannot make this time.