DEPARTMENT OF PHYSICS AND ASTRONOMY  (202) 8066245 (main office), 5830 (fax)
Quantum Mechanics I, PHYS220 (80270)
MW, 2:10 3:30 pm, in TKH 103;
[ Topics ][ Minimal Requirements ][ Assignments ][ eGear
][ Welcome ]
Component

Time

Remark

% of Grade


Homework  See in daily schedule  Late HW = 0 credit !!! 
30%

Exams (two midterms)  See in daily schedule  not comprehensive 
(each) 30%

Now drop from the above three component the one with worst result for each student separately  30% 

Final exam  Last week of semester  comprehensive 
40%

The aim of the course is to give a thorough introduction to the quantum nature of Nature, some of the basic methods and techniques in its study and to serve as a preparatory course for the second part (PHYS221). This course begins with reviewing the experimental indications of the quantum nature of Nature. The study of basic general properties and simple 1dimensional models introduces the basic ideas and prepares for the study of semiclassical and operatorial techniques in Quantum Mechanics. The study of angular momentum and spherically symmetric potentials then finishes this first part of the course in Quantum Mechanics.
A successful student is expected to demonstrate a very good understanding of the fundamental principles of quantum physics, but also to demonstrateand maintainthe ability to solve practical problems involving quantum phenomena. For minimal requirements, see below!
“Success = 1% inspiration + 99% perspiration”T.A.
Edison
however, learning is still 100% learnig + 0% teaching.
§1+ 
Mathematical Prerequisites and Introduction to Quantum Nature  

§2+ 
Formulations of Quantum Mechanics  
§3 
Kinematics and Dynamics  
§4+ 
Coordinate Representation and Applications  
1st Midterm exam§14: 10/08 (open
text, inclass) + takehome due 10/15 

§5 
Momentum Representation and Applications  
§6 
The Harmonic Oscillator  
§7 
Angular Momentum  
2nd Midterm exam§57: 11/12 (open
text, inclass) + takehome due 11/17 

§8 
State Preparation and Determination  
§9+ 
Measurement and State Interpretation  
§10+ 
Bound States  
§11+ 
Charged Particle in a Magnetic Field  
Final exam  comprehensive: §110;
takehome, given 12/01, due 12/08. 
08/25 
The Quantum Nature of Nature: Quantum Waves and Superposition: extra 

08/27 
Linear Vector Spaces, Linear and SelfAdjoint Operators: §1.13 
09/01 
Observed Holiday: Labor Day 
09/03 
Hilbert Spaces and Probability Theory: §1.45 [HW#0 due] 
09/08 
Formalism of Quantum Mechanics: §2 
09/10 
Transformations, Symmetries and Identification: §3.14 [HW#1 due] 
09/15 
Quantization and Compositeness, Equations of Motion and Conservation Laws: §3.48 
09/17 
The Schrodinger Equation and Probability, The Free Particle: §4.16 [HW#2 due] 
09/22 
Sequentially Constant Potentials: extra 
09/24 
Tunneling and Path Integrals: §4.78 [HW#3 due] 
09/29 
Momentum Representation, Bloch's Theorem and Linear Force Field, §5.16 
10/01 
The linear harmonic oscillator: §6 
10/06 
The Angular Momentum Formalism: §7.13 [HW#4 due] 
10/08 
1st Midterm (§14; 90min. inclass & takehome, due Wednesday, 10/15/14, 12:00 noon) 
10/13 
Observed Holiday: Columbus Day 
10/15 
Spin, Finite Rotations and Addition of Angular Momenta: §7.47 [HW#5 due] 
10/20 
Tensors, WignerEckart Theorem and Rigid Bodies: §7.89 
10/22 
State Preparation and Determination, Composites and Indeterminacy: §8.14 [HW#6 due] 
10/27 
Measurement, Interpretation of a State Vector and Caveats: §9.14 
10/29 
Recombination and Conditional Probabilities, and The Measurement Conundrum: §9.56 & extra [HW#7 due] 
11/03 
The Spherical Potential Well and the Hydrogen Atom, §10.12 
11/05 
Indeterminacy and Strange Bound States, §10.34 [HW#8 due] 
11/07 
Last day to withdraw from a course 
11/10 
Review 
11/12 
2nd Midterm Exam (§59; 90min.
inclass + takehome, openbook,due Monday, 11/17/14, 12:00 noon) 
11/17 
Stationary State Perturbation Theory, §10.5 
11/19 
Variational Method, §10.6 [HW#9 due] 
11/24 
Classical vs. Quantum Theory and Motion in Uniform Static Magnetic Field, §11.14 
11/26 
Classes suspended at noon—no class [HW#10 due by 12:00 noon] 
11/27–11/30: Thanksgiving recess


12/01 
The PaschenBack effect and general cases: §11.5 & extra Final Exam handed out, due: Monday, 12/08/14, 12:00 noon 
12/03  Review [HW#11 due], 
To pass the course with a grade B or better , a graduate Student must, at the time of (on) the final exam, be able to demonstrate the ability to:
1 
determine the type of the state (oscillatory
vs. nonoscillatory), the boundary or periodicitymatching conditions on
it 

2 
determine the type of the energy spectrum
of a particle, depending on the potential 
3 
complete any commutator calculation
with either abstract operators, harmonic oscillator creation and annihilation
operators, or angular momentum operators 
4 
determine perturbative corrections to
energies and statefunctions of stationary states 
5 
determine the total symmetry, degeneracy
and relations between these for simple 1, 2 and 3dimensional systems 
A graduate student who cannot demonstrate the above listed skills at the time of the final exam automatically forfeits a grade of B or better  regardless of the total number of points acquired in homework, quizzes and exams, and regardless of the success in completing any other course requirement.
Due 
Ch. 
Problems 

09/03  —  Assigned in class, on the first day of class 
09/10 
1. 
2, 4, 6, 9, 12 (see soln’s of 10 and
11) 
09/17 
2. 
1, 8, 9 
09/24 
3. 
5, 6, 8, 10, 12 
10/06 
4. 
1, 2, 3, 7, 9 
10/15 
5. 
1, 2, 3, 5, 8 
10/22 
6. 
1, 2, 6, 7, 8 
10/29 
7. 
1, 3, 4, 8, 9 
11/05 
8. 
1, 4, 5 
11/19 
9. 
1, 2, 4 
11/26 
10. 
1, 2, 3, 13, 14 
12/03 
11. 
2, 3, 4, 8, 10 
All homework assignments are due by 5:00 pm of the day indicated and should be either given to the instructor in hand, left in the instructor's mailbox in TKH#105, or slid under the instructor's office door, TKH#213. Late homework will not be accepted, except in cases of proven (medical) emergency.
Collaboration policy
Collaboration  but not blind copying  on the homework
assignments is strongly encouraged; students should use this to learn
from each other. All exams and quizzes are open text and open classnotes
(including notebooks and class handouts), but no collaboration is allowed;
by signing the exams and quizzes, the student implicitly agrees to abide
by this policy. Violation of this policy is covered under the University
regulations on academic dishonesty and cheating.
Coursework presentation and organization
While a neat presentation of home, quiz and examwork is not
required for full credit, it certainly makes it easier to assess the quality
of the work and give the proper credit due. In all cases, include a simple
sketch if it might help conveying the approach or the calculations. Where
necessary, include all units and symbols such as the measure of an integral,
arrow on a vector, vertical bars for the absolute value of a quantity, for
the magnitude of a vector or for the determinant of a matrix, etc.
ADA disclaimer
Howard University is committed to providing an educational environment
that is accessible to all students. In accordance with
this policy [details], students in need of accommodations due to a disability
should contact the Office of the Dean for Special Student Services at 2022382420, for verification and determination of reasonable
accommodations as soon as possible after admission to the Law School,
or at the beginning of each semester.
© Tristan Hübsch, 2014