CSUSB
PHYSICS 421 Quantum
Mechanics I
FALL 2013
Timothy D. Usher, Ph.D.
Office: PS-113
Telephone: 537-5410
E-mail: tusher@csusb.edu
Physics Office: PS-119, Telephone: 537-5397
Physics web site http://physics.csusb.edu
Office Hours: MW 11:50 – 12:20 and MW 3:50-4:50 (after class)
Required
Textbooks: "A
Modern Approach to Quantum Mechanics by John S. Townsend. The sequential course,
Physics 422 will, use the same text.
Recommended Textbooks: Feynnman
Lectures on Physics, Volume III, The
principles of quantum mechanics by Paul A. Dirac. Dirac invented bra-ket notation. Renteln Lecture Introduction
to wave mechanics and The Dirac Approach to Quantum Theory by our
very own Paul Renteln.
Other available materials: Homework solutions and other materials will
be made available on reserved reading in the library.
Prerequisites: Physics 225 and one of the following: Math 373 or Physics
373 (or 310). Math 331 is recommended.
Sequence of topics
Stern-Gerlach Experiments
Rotation of Basis States and Matrix Mechanics
Angular Momentum
Time Evolution
A System of Two Spin 1/2 Particles
Wave Mechanics in One Dimension
The One-Dimensional Harmonic Oscillator
TESTS
You will be given three opportunities to demonstrate your understanding
(otherwise known as test), two midterms and a final. The first midterm will be
around the fifth week and the last midterm will be at the end of the quarter.
The final is scheduled for Wednesday, Dec. 6 at 2:00pm.
ASSIGNMENTS
Assignments will be in two parts: reading and problems. The assignments will be
written on the blackboard at the beginning of each class. The assigned reading
will include the material to be covered in the next lecture. Pop quizzes
may be given at the beginning of some classes as encouragement to keep up with
the reading. Each question on the quiz will carry the same weight as a homework
problem.
Problems will be assigned each
class day. I will try to assign most of them on Monday. The problems are due
the following Monday. There will be a folder at the front of the classroom
marked "Homework to be graded (first attempt)". Place your homework
in there before or after class, not during class! The homework
will be graded and returned to you Wednesday. You will receive one of the
following marks on each problem with the indicated meanings.
"check"
= problem was solved satisfactorily (1 credit)
"OK" = solution was barely adequate, strongly recommend reviewing
solution (1 credit)
"X" = solution was not clear or unsatisfactory (˝ credit)
"XX" = no clear attempt was made to solve problem (0 credit)
If you receive an X you should
rework the problem with whatever aid (short of copying) you wish
to use including posted solutions, solution manuals, fellow students, etc.
After you have reworked the solution you may resubmit the problem Monday in the
folder marked "Homework to be graded (Second attempt)." If the second
attempt is satisfactory, you will receive 1 credit. Working the problem
on your own the first time can't hurt you but it can help you on test day! If
you receive XX you may work the problem and turn it in to the (Second attempt)
folder. If the solution is satisfactory you will receive half credit. If
the solution is not satisfactory you receive no credit and you have run out of
chances to turn in the homework! This system automatically allows for late
homework, but deducts half a point per homework problem no matter what the
excuse is. Turning in late homework once or twice should not hurt your grade
much, but habitually late or no homework could hurt a lot!
This system of homework can get
confusing, Please adhere to the following requests.
1) Neatness
a) Staple pages
b) Work on one side only
c) No pages torn out of notebooks
d) Problems in order
e) Your name and chapter number, and wether it is a first or second attempt.
2) Conciseness--The problem must be solved
clearly in an easy to read form. Show all key steps, basic relations used
and explanations where needed. Underlining or boxing the answer will help. In
short, I should be able to look at your solution and be able to tell what you
did within a few seconds.
If these criterion are not met,
the problem may be marked X or even XX.
Grading
The different components of the course will carry the following weights:
2 Tests 45.0% (22.5% each)
Final Exam 25.0%
Problems and Pop quizzes 30.0%
Grading scale:
100 - 95 A
94 - 90 -A
89 - 85 +B
84 - 80 B
79 - 75 -B
74 - 70 +C
69 - 65 C
64 - 60 -C
59 - 55 +D
54 - 50 D
49 - 45 -D
45 or less F
IMPORTANT NOTES:
Department of Physics Mission Statement:
Our mission is to teach students how to measure, describe, and explain natural
phenomena through scientific investigation and critical thinking. Students
learn the concepts of physics, quantitative methods for analysis, experimental
techniques for testing theoretical predictions, and the skills necessary to
discovering new phenomena. The study of a range of fundamental topics and the
underlying theory reveals physics to be a stimulating and rewarding discipline
that has important connections to other sciences, modern technology, and
society as a whole.
Physics 421
Catalog Description: Introduction to quantum mechanics. Topics
include the origins of quantum theory, angular momentum, the Dirac formalism,
2-level systems and the harmonic oscillator. Four hours lecture.
Math Preparation: To succeed in this class, you will need a good working
knowledge of multivariable calculus at the level of Mathematics 252, linear
algebra at the level of Mathematics 331, and functional analysis at the level
of Physics 373.
Relevant
Program-level Student Learning Goals and Outcomes:
Goal 1: Students should have in-depth knowledge of the
foundational subjects in physics (primarily classical mechanics,
electrodynamics, thermodynamics & statistical mechanics, special
relativity, and quantum mechanics) and be able to apply that knowledge to
problem-solving.
Outcome 1.5: Students will demonstrate a developing understanding of
the principles of quantum mechanics at the undergraduate level by formulating
and solving quantitative problems. This will be exhibited in the following
ways.
1.5a: Homework solutions of problems covering the range of
topics.
1.5b: Problem-solving on the exams, covering the range of topics,
and the integration of various topics.
University
Policies
The Policy and Procedures Concerning Academic Dishonesty states: Plagiarism and cheating are
violations of the Student Discipline Code (see Appendix of the CSUSB Catalogue
of Programs) and may be dealt with by both the instructor and the Judicial
Affairs Officer. Plagiarism is the act of presenting the ideas and writings of
another as one’s own. Cheating is the act of obtaining or attempting to obtain
credit for academic work through the use of any dishonest, deceptive or
fraudulent means. Plagiarism is academically dishonest and makes the offending
student liable to penalties up to and including expulsion. Students must make
appropriate acknowledgments of the original source where material written or
complies by another is used. Questions about academic dishonesty and the policy
should be addressed to the Office of the Vice President, Student Affairs.
Commitment
to Diversity: In our commitment to the
furthering of knowledge and fulfilling our educational mission, California
State University, San Bernardino seeks a campus climate that welcomes,
celebrates, and promotes respect for the entire variety of human experience. In
our commitment to diversity, we welcome people from all backgrounds and we seek
to include knowledge and values from many cultures in the curriculum and
extra-curricular life of the campus community.
Dimensions of diversity shall include, but are not limited to, the
following: race, ethnicity, religious belief, sexual orientation, sex/gender,
disability, socioeconomic status, cultural orientation, national origin, and
age. (from the CSU San Bernardino University Diversity
Committee Statement of Commitment to Diversity, 1995). In keeping with the university’s Commitment to Diversity, the faculty of the College of Natural Sciences fully support the
Americans with Disabilities Act (ADA). Faculty will provide reasonable accommodation
to any student with a disability who is registered with the Office of Services
to Students with Disabilities and who needs and requests accommodation. If you are in need of an accommodation for a
disability in order to participate in this class, please let me know ASAP and
also contact Services to Students with Disabilities at UH-183, (909) 537-5238.
It is the student’s responsibility to seek academic accommodations for a
verified disability in a timely manner.