North Carolina A & T State University
Department of Physics
Fall 2003

     

Course:

Phys 420-01 Quantum Mechanics I
   
 Instructor:
Dr. Solomon Bililign
 
 Marteena Hall # 323
ex 7646, 7422
e-mail bililign@ncat.edu
   
Time :
Tuesdays & Thursdays @ 9:35-10:50 a.m.
   
 Place :
Marteena # 318
   
Office Hours:
Tuesday    12:00a.m.-2:00p.m.
 
Thursday 12:00 a.m.-2:00p.m. and 3:30p.m.- 5:00p.m.
   
 Text:
 Introduction to Quantum Mechanics
  Davis J. Griffiths
Prentice Hall, 1994
   
Notes:
Notes will be provided
   
References:
R-1 Principles of Quantum Mechanics,
 
Hans O. Ohanian, Addison-Wesley
 
R-2  Introductory Quantum Mechanics:
 

  R. Liboff, Prentice Hall

    R-3. Understanding Quantum Mechanics.
 

  M.A. Morrisson, Pretice Hall

    R-4. Quantum Mechanics 2nd edition,
 

  Amit Goswami, WM. C. Brown

 

Publishers.1992

Course objectives:
  • Develop the physical principles and mathematical background important to quantum mechanical description.
 
  • Summarize experiences and theories formulated during the early decade of the Century. These observations and theories comprise the genesis of quantum mechanics.

  • Establish the mathematical properties of the waves that describe free particles.
  • Consider the effect of an external force acting on a quantum mechanical particle. the force is assumed derivable from some potential V(x). we will solve the Schrodinger equation for different potentials. these include step potentials, one-dimensional barrier problems, infinite and finite square wells. harmonic Oscillator Schrodinger equation,

 
  • Understand the basic postulates of quantum mechanics, which serve to formalize the rules of quantum mechanics.
 
  • Solve the Schrodinger equation in spherical coordinates and apply it to the problem of the Hydrogen Atom, and theory of Angular Momentum (Orbital and spin)
Course Policy :
 
Quizzes:
There will be unannounced quizzes.
 
You are encouraged to read the material before and after every lecture.
Homework:
Homework is an important part of the evaluation process. problems will be assigned every week. Understanding and mastering this course is dependent on your effrt to work out assigned problems.
 
 
 

Exams:

There will be two exams and a final for this course. The date and
time of these exams will be announced later.  Final exam will be comprehensive.
Grading:
The distribution of the grades is as follows
 
Home works..........................35%
 
Exams(2)............................... 30%
  Quizzes..................................10%
  Final Exam.............................20%
   

Grading Scale:

  85 and above.........A
  [70-84]........................B
  [ 50-69].......................C
  [40-49]........................D
  below 40....................F
   
 

The minimum requirement to pass the course:
regular attendance of classes and submitting all assigned homework is the minimum requirement to pass the course with a D.

 

Course outline:( all problems are from Griffiths)

Date

Chapter/ Section

Topic

week1

Notes:
Text  :
Chapter 3.1.1,3.1.2
More Info

Mathematical Introduction
Problems: 3.1,3.2,3.3
problem 1

week 2

Notes:
Text :
Chapter 3.1.3,3.1.4
Mathematical Introduction
Problems: 3.4,3.6,3.8,3.9,3.10,3.13

week 3

Notes:
Text :
Chapter 3.1.5,3.2
Mathematical Introduction
Problems: 3.17,3.18,3.22,3.23,3.25,3.33

week 4

Notes:
Text :
Chapter 1.1,1.2,1.3,1.4,
The wave function
Problems: 1.1,1.2,1.6,1.7,1.8,1.9

week 5

Notes:
Text :
Chapter 1.5,1.6
Text :Chapter 2.1,2.2
Momentum, Uncertainty relation Stationary States, The Infinite Square Well
Problems: 1.11,1.12,1.14,2.2,2.4,2.6,2.8

week 6

Notes:
Text :
Chapter 2.6

Solving the Schrodinger  Equation for Piecewise Constant Potentials, The Infinite Square Well
Problems: 2.28,2.29,2.31

week 7

Notes:
Text :
Chapter 2.7

Unbound States, One Dimensional Barrier Problem, The Scattering Matrix
Problems: 2.33,2.422,34

week 8

Notes:
Text :
Chapter 2.3

The Simple Harmonic Oscillator
Problems: 2.13,2.14,2.15,2.17,2.18

week 9

Notes:
 Text :
Chapter 2.3,2.4

The Simple Harmonic Oscillator, The Free Particle
Problems:2.20, 2.21,2.22,3.50

week 10

Notes:
 Text :
Chapter 3.3,3.4

Postulates: Generalized Statistical Interpretation.
Problem set 1

week 11

Notes:
Text :
Chapter 3.3,3.4

Measurement in Quantum Mechanics; Expectation Values
Problem set 2

week 12

Notes:
 Text :
Chapter 3.3,3.4

Commutation Relations, Uncertainty Principle
Problems: 3.35,3.40,3.41

week 13

Notes:
 Text :
Chapter 4.1

Schrodinger Equation in Spherical Coordinates
Problems: 4.1,4.2,4.3,4.4,4.6

week 14

Notes:
Text :
Chapter 4.2, 4.3

Angular Momentum
Problems: 4.20,4.22,4.23

week 15

 

Review

Final Exam

TBA