PHY 399 Quantum Mechanics

Syllabus Spring 2008

 

 

 

Instructor:         André Wehner, Olin 111, Ph. 238-5919, e-mail wehner@centre.edu,

                        Office Hours: M-W-F: 10:00-11:30; Th: 10:00-12:30, or by appointment.

                       

Class Time:       3:00-4:00 M-W-F, Olin 109

 

Text:                 Introductory Quantum Mechanics 4th ed – Liboff

               

Grading:           3 tests @ 15% each = 45%

Final 25%

Homework 30%

Tentative grading scale: 90 = A-, 80 = B-, 70 = C-, 60 = D

 

 

Course Description

 

In this course we will explore the fascinating world of quantum mechanics, the beautiful and strange physical theory that describes nature at very small scales. We will start by reviewing the experimental evidence that led to the development of the early quantum theory (Ch. 2) and then formally develop quantum mechanics from its basic postulates and sharpen the required mathematical tools as we move along (Ch. 3-6). We will study several examples of a single particle in a one-dimensional potential which encapsulate the major features of the theory, including barrier transmission, particle in a box, and the harmonic oscillator (Ch. 7-8). We will extend our studies to three dimensions including the study of of orbital and spin angular momentum concluding with the solution for the hydrogen atom (Ch. 9-10). As none but the simplest problems can be solved exactly in an analytical fashion, these applications will also necessitate the study of various approximation schemes. Thus, we will introduce perturbation theory, a technique for finding approximate solutions to problems which cannot be solved exactly (Ch. 13).


Schedule

 

Day

Chapter Covered

Homework

 

 

 

2/1

1

Ch. 1: 14-16, 20

2/4

2

Ch. 2: 1, 3, 4, 19, 23, 26, 28, 29, 32, 34

2/6

3

Ch. 3: 1-3, 6-8, 10, 11, 14, 15, 17, 18, 20

2/8

3

 

2/11

3

 

2/13

4

Ch. 4: 1, 2, 4, 6-8, 12, 14, 17, 19-21, 33

2/15

4

 

2/18

4

 

2/20

5

Ch. 5: 2, 5, 9, 13, 15-17, 22-25, 28, 30, 33, 35, 36,

2/22

5

40, 44, 49, 52, 54

2/25

5

 

2/27

Test 1

 

2/29

6

Ch. 6: 1, 2, 6-9, 11, 13, 16, 18-21, 23, 29, 32, 33

3/3

6

 

3/5

6

 

3/7

7

Ch. 7: 1, 5-7, 9, 10, 12, 14, 15, 7-21, 28, 29, 31, 32,

3/10

7

43, 44, 64, 65, 80-83

3/12

7

 

3/14

7

 

3/24

7

 

3/26

8

Ch.8.1: 1, 2, 7

3/28

8

 

3/31

Test 2

 

4/2

9

Ch. 9: 2, 4, 5, 7, 10, 11, 15, 18-21, 23, 31, 32, 34, 35,

4/4

9

38-40, 45, 46, 49, 51, 54

4/7

9

 

4/9

9

 

4/11

9

 

4/14

10

Ch. 10: 1, 2, 4, 5, 9, 11, 18, 23, 24, 29, 30, 33, 34, 37,

4/16

10

38, 50, 56, 58

4/18

10

 

4/21

10

 

4/23

13

Ch. 13: 1, 2, 4, 12

4/25

13

 

4/28

Test 3

 

4/30

15

 

5/2

15

 

5/5

 

 

5/7

 

 

 

 

 

5/??

Final (comprehensive)