Quantum Mechanics

Phys 460

Instructor: Dr. Giovanetti

Office: 2178

Time: 1:25-2:15 Monday, Tuesday, Wednesday

 

Textbook: Introductory Quantum Mechanics (4th Edition),
by Richard Liboff , Hardcover: 900 pages, Publisher: Addison Wesley;

ISBN: 0805387145

 

Homework

Grading

Introduction

 

An eminent theorist provides perspective and a host of nice links.

 

As I proceed through the book and review QM ideas, I will post notes. The links to last year’s web notes appear at the bottom of this page. As we cover the material I will try to improve them and post them in the following list. These are works in progress.  I will continue to post and update as the semester proceeds.  I appreciate any feedback on these items. Specifically I would appreciate corrections and references to other resources that clarify these ideas.

{Note: The material prepared for each lecture is often significantly greater than what is presented. Thus there is often an overlap. Succeeding lectures start at the ending point of the previous lecture with updates added.}

 

MOST OF THESE LINKS ARE NOT YET COMPLETE. HOWEVER THE NOTES FROM LAST SEMESTER ARE BELOW.

 

Week 1: Chapter 1&2, particles and waves, interference, two slit experiment

  1. Lec 1 Mechanics & Starting ideas   (prelim) [L9-x.htm]
  2. L2 More on particle, waves and interference
  3. Important topics
  4. Lecture #3 notes
  5. Lecture #4 notes
  6. Lecture #5 notes
  7. Lecture #5 power point
  8. Lecture #6 notes
  9. Lecture #6 power point
  10. Lecture #7 notes
  11. Lecture #7 power point
  12. Lecture #8 notes
  13. Lecture #8 power point
  14. Lecture #9 notes
  15. Lecture #9 power point
  16. Lecture #10 notes
  17. Lecture #10 power point
  18. Lecture #11 notes
  19. Lecture #11 power point
  20. Lecture  #12 notes
  21. Lecture #12 momentum operator aside 
  22. Lecture #12 power point
  23. Lecture  #13 notes
  24. Lecture #13 power point
  25. Lecture  #14 notes
  26. Lecture  #15&16 notes
  27. Lecture  #15 delta function
  28. Lecture  #15 momentumNormalization
  29. Midterm Grade Distribution
  30. Lecture  #17 notes
  31. Inner product summary notes

Finished chapter 5 Start spring break

  1. Lecture  #18-19-20 notes
  2. Lecture #18 power point
  3. Lecture  #21 notes
  4. Lecture  #22-23 notes  Chapter 7 HO
  5. Lecture  #24 notes Chapter 7 HO
  6. Lecture #24 power point
  7. Lecture  #25 notes Chapter 7 HO
  8. Discussion of creation and annihilation OPS chap 7
  9. Lecture  #26 notes Chapter 7 barrier
  10. Lecture  #27 power point Chapter 7 barrier annihilation and creation
  11. Lecture  #27-28 notes Angular momentum
  12. Lecture  #27-28 power point  Angular momentum
  13. Lecture  #27-28 summary  Summary angular momentum

 

 

 

 

 

 

 

 

 

 

 

 

 

Sunday

Monday

T

Wednesday

T

Friday

 

 

11-Jan

12-Jan

 

14-Jan

 

16-Jan

 

1

 

Chapter 1&2

 

Chapter 1&2

 

Chapter 1&2

 

 

 

L1

 

L2

 

L3

 

 

 

Week 1

 

 

18-Jan

19-Jan

 

21-Jan

 

23-Jan

 

2

 

MLK day

 

two slit problem

 

chapter 3

 

 

 

 

HW

Prob 1/Quiz

 

L5

 

 

 

Week 2

 

 

25-Jan

26-Jan

 

28-Jan

 

30-Jan

 

3

 

chapter 3

 

chapter 3

 

chap3

 

 

 

L6

 

L7

 

L8

 

 

 

Week 3

 

 

1-Feb

2-Feb

 

4-Feb

 

6-Feb

 

4

 

chap 4

 

chap 4

 

chap 4

 

 

 

L9

HW

Quiz- Notation

HW

Prob 2[C3]/Quiz

 

 

 

Week 4

 

 

8-Feb

9-Feb

 

11-Feb

 

13-Feb

 

5

 

chap 4

 

chap 4

 

no class

 

 

 

L12

 

L13

HW

 

 

 

 

Week 5

 

 

15-Feb

16-Feb

 

18-Feb

 

20-Feb

 

6

 

chap 4

 

chap 5

 

no class

 

 

 

L14

HW

P 3 [C4] & Quiz

 

 

 

 

 

Week 6

 

 

22-Feb

23-Feb

 

25-Feb

 

27-Feb

 

7

 

chap 5

 

TEST/no class

 

TEST/no class

 

 

 

L16

 

 

 

 

 

 

 

Week 7

 

 

1-Mar

2-Mar

 

4-Mar

 

6-Mar

 

8

 

snow day

 

midterm results

 

chap5

 

 

 

 

 

 

 

L17

 

 

 

Week 8

 

 

8-Mar

9-Mar

 

11-Mar

 

13-Mar

 

 

Break

 

 

15-Mar

16-Mar

 

18-Mar

 

20-Mar

 

9

 

photons

 

photons

 

no class

 

 

 

L18

HW

Pr. 4 C5 & quiz

 

 

 

 

 

Week 9

 

 

22-Mar

23-Mar

 

25-Mar

 

27-Mar

 

10

 

no class

 

photons

 

chap6

 

 

 

 

 

L20

 

L21

 

 

 

Week 10

 

 

29-Mar

30-Mar

 

1-Apr

 

3-Apr

 

11

 

chap6

 

chap7

 

chap7

 

 

 

L22

HW

photon quiz

 

Pr. 5 C6

 

 

 

Week 11

 

 

5-Apr

6-Apr

 

8-Apr

 

10-Apr

 

12

 

chap7-HO

 

chap7-HO

 

chap7-barrier

 

 

 

L24

HW

L25

 

L26

 

 

 

Week 12

 

 

12-Apr

13-Apr

 

15-Apr

 

17-Apr

 

13

 

chap7-barrier

 

chap 9

 

chap 9

 

 

 

L27

HW

Pr. 6 C7

 

l29

 

 

 

Week 13

 

 

19-Apr

20-Apr

 

22-Apr

 

24-Apr

 

14

 

chap 9

 

chap 9

 

chap10

 

 

 

L30

HW

Pr. 8 C9

 

L31

 

 

 

Week 1 4

 

 

26-Apr

27-Apr

 

29-Apr

 

1-May

 

15

 

 

 

 

 

 

 

 

 

L32

 

L33

 

L34

 

 

 

Week 15

 

 

3-May

4-May

 

6-May

 

8-May

 

 

FINAL EXAMS

 

 

 

 

 

 

 

 

 

 

 

Schedule and notes from 2008----------------------------------

As the semester goes along I will update the various files and notes so these links may reference current as well as old material.

Week 1: Chapter 1&2, particles and waves, interference, two slit experiment

  1. Mechanics & Starting ideas  (prelim)
  2. More on particle, waves and interference
  3. Important topics
  4. Lecture 2 notes
  5. Lecture 3 notes

Week 2&3: Chapter 3

  1. Lecture 4 notes
  2. Lecture 5 notes
  3. Lecture 6 notes (Wed. week 3)
  4. Lecture 7 notes (Fri. week 3)

Week 4 chapter 4

  1. Lecture 8 notes (Mon. week 4)
  2. Lecture 9 notes (Wed. week 4)
    1. Notation notes (Wed. week 4)
  1. Lecture 10 notes (Fri. week 4)

Week 5 4&5

  1. Lecture 11 notes (Mon. week 5)
    1. Prob. 4.6 comment: Momentum eigenfunctions and normalization
    2. Momentum operator [sign and interpretation]
  1. Lecture 12 notes (Wed. week 5)
  2. Lecture 13 notes (Fri. week 5)
  3. Lecture 14 notes (Mon. week 6)
  4. Lecture 15 notes (wed. week 6)
  5. Lecture 16 notes (fri. week 6)
  6. Lecture 17 notes (Mon. week 7)
  7. Lecture 18 notes (Wed. week 7)
  8. No class Friday
  9. Lecture 19 notes (Wed. week 8)
  10. Lecture 20 notes (Wed. week 8)
  11. Prob 5.11 HMWK
  12. Prob 5.38 HMWK
  13. Lecture 21 notes (Monday. week 9)
  14. Midterm grades (Wednesday. week 9)
  15. Lecture 22 review midterm exam 2-d  notes (Monday week 10)
  16. Lecture 23 (W week 10)
  17. Lecture 24 (F week 10)
  18. Lecture 25 (M week 11)
  19. Lecture 26 (W week 11)
  20. Lecture 27 (F week 11)
  21. Lecture 28 (M week 12)
  22. Lecture 29 (W week 12)
  23. Lecture 30 (F week 12)
  24. Lecture 31 (M week 13)
  25. Lecture 32 (W week 13)
  26. Lecture 33 (F week 13)
  27. Lecture 34 (W week 14)
  28. Lecture 35 (F week 14)
  29. Lecture 36 (M week 15)
  30. Lecture 37 (W week 15)
  31. Lecture 38 (F week 15)

 

 

Preliminary Schedule: The schedule will be updated during the semester to reflect the progress we are making in learning the material.

 

 

 

 

 

 

 

 

 

Sunday

Monday

T

Wednesday

T

Friday

 

 

6-Jan

7-Jan

 

9-Jan

 

11-Jan

 

1

 

Chapter 1&2

 

Chapter 1&2

 

Chapter 1&2

 

 

 

 

 

 

 

 

 

 

 

Week 1

 

 

13-Jan

14-Jan

 

16-Jan

 

18-Jan

 

2

 

class canceled

 

Chapter 3

 

Chapter 3

 

 

 

 

 

Prob 1/Quiz

HELP

 

 

 

 

 

 

 

6PM

 

 

 

 

Week 2

 

 

20-Jan

21-Jan

 

23-Jan

 

25-Jan

 

3

 

MLK day

 

Chapter 3

 

Chapter 3

 

 

 

 

 

 

 

Prob 2/Quiz

 

 

 

Week 3

 

 

27-Jan

28-Jan

 

30-Jan

 

1-Feb

 

4

 

vector space

 

vector space

HELP

Chapter 4

 

 

 

 

 

 

6PM

Quiz- Notation

 

 

 

Week 4

 

 

3-Feb

4-Feb

 

6-Feb

 

8-Feb

 

5

 

Chapter 4

 

chap 5

 

chap 5

 

 

 

 

 

Problem 3 & Quiz

 

 

 

 

 

Week 5

 

 

10-Feb

11-Feb

 

13-Feb

 

15-Feb

 

6

 

chap 5

HELP

chap 5

 

chap 6

 

 

 

 

6PM

Pr. 4 C5 & quiz

 

 

 

 

 

Week 6

 

 

17-Feb

18-Feb

 

20-Feb

 

22-Feb

 

7

 

chap 6

 

chap 6

 

no class

 

 

 

 

 

 

 

 

 

 

 

Week 7

 

 

24-Feb

25-Feb

 

27-Feb

 

29-Feb

 

8

 

Review

HELP

Review

 

TEST

 

 

 

 

6PM

Pr. 5 C6

 

chapt 1-6

 

 

 

Week 8

 

 

2-Mar

3-Mar

 

5-Mar

 

7-Mar

 

 

Break

 

 

9-Mar

10-Mar

 

12-Mar

 

14-Mar

 

9

 

chap 6 propagator

 

Midterm Solution

 

class canceled

 

 

 

 

 

 

 

 

 

 

 

Week 9

 

 

16-Mar

17-Mar

 

19-Mar

 

21-Mar

 

10

 

Midterm Solution

 

Chapter 7

 

Chapter 7

 

 

 

 

 

 

 

 

 

 

 

Week 10

 

 

23-Mar

24-Mar

 

26-Mar

 

28-Mar

 

11

 

Chapter 7

 

Chapter 7

 

Photons

 

 

 

 

 

 

 

Pr. 6 C7 & quiz

 

 

 

Week 11

 

 

30-Mar

31-Mar

 

2-Apr

 

4-Apr

 

12

 

Photons

 

Photons

 

Chapter 9

 

 

 

 

 

 

 

 

 

 

 

Week 12

 

 

6-Apr

7-Apr

 

9-Apr

 

11-Apr

 

13

 

Chapter 9

 

Chapter 9

 

Chapter 9

 

 

 

 

 

Photons quiz

 

 

 

 

 

Week 13

 

 

13-Apr

14-Apr

 

16-Apr

 

18-Apr

 

14

 

class canceled

 

Chapter 9

 

H-atom C10,C12.2

 

 

 

 

 

Pr. 7 C9 & quiz

 

 

 

 

 

Week 1 4

 

 

20-Apr

21-Apr

 

23-Apr

 

25-Apr

 

15

 

H-atom C10,C12.2

 

H-atom C10,C12.2

 

review

 

 

 

Pr. 8 C10 & quiz

 

 

 

 

 

 

 

Week 15

 

 

27-Apr

28-Apr

 

30-Apr

 

2-May

 

 

FINAL EXAMS

 

 

 

 

 

 

 

 

 


(2007 )--- parts of the website from 2

There was some discussion of QM throughout the Particle Physics course. A few of the discussions might prove useful and links are shown below. There are many wonderful discussions available on the web and throughout the many textbooks on QM.  Students will find it useful to find those discussions that appeal to them.  The discussions below are based on the approaches that I find insightful.   Some of the discussion is beyond the scope of the course and they are NOT required reading.

 

Basic Quantum

Quantum and Interpretation

 

Specific comments on the lectures.

 

Week 1: Chapter 1&2, particles and waves, interference, two slit experiment

  1. Mechanics & Starting ideas  (prelim)
  2. More on particle, waves and interference

Week 2: Chapter 3

  1. Formalism for quantum.
  2. Quantum states using particle location

Week 3: Chapter 3&4

  1. Questions-complete C3
  2. Chapter 4 particle in a box

Week 4: Chapter 4 continued

  1. Aside (How does the momentum operator arise?) [Not required]
  2. Dual spaces, Inner product, Dagger operation
  3. More on the dagger or adjoint

Week5:

  1. Work on bra-ket notation and vector spaces
  2. More on inner product

Week6

  1. No class Tuesday
  2. Adjoint notation

Week7

  1. Some typical wavefunctions
  2. Chapter 5
  3. Momentum eigenfunctions and normalization

Week8

  1. More on chapter 5& start 6
  2. Test on Chapters 1-5

BREAK

Week9

  1. Solution to midterm
  2. Chapter 6 energy eigenstates and time evolution

Week10

  1. Chapter 6 wave packets and propagator
  2. Chapter 6 conserved quantities

Week11

  1.  Chapter 7:
    1. Harmonic oscillator and raising and lowering operators,
    2. Barrier problems

Week12

  1.  Photons, Stern Gerlach, Simple quantum systems

Week13

  1.  Continue Photons, start angular momentum

Week14

  1.  Angular momentum

Week15

  1.   Hydrogen atom

 

 

 

 

 

 

 

 

 

 

 

 

Sunday

M

Tuesday

W

Thursday

F

 

 

7-Jan

 

9-Jan

 

11-Jan

 

 

1

 

 

Chapter 1&2

 

Chapter 1&2

 

 

 

 

 

 

 

 

 

 

 

 

Week 1

 

 

14-Jan

 

16-Jan

 

18-Jan

 

 

2

 

 

Chapter 3

 

Chapter 3

 

 

 

 

 

Prob 1/Quiz

 

 

 

 

 

 

Week 2

 

 

21-Jan

 

23-Jan

 

25-Jan

 

 

3

 

 

Chapter 3

 

Chapter 4

 

 

 

 

 

 

 

Prob 2/Qiz

 

 

 

 

Week 3

 

 

28-Jan

 

30-Jan

 

1-Feb

 

 

4

 

 

Chapter 4

 

Chapter 4

 

 

 

 

 

 

 

 

 

 

 

 

Week 4

 

 

4-Feb

 

6-Feb

 

8-Feb

 

 

5

 

 

vector space

 

vector space

 

 

 

 

 

 

 

Problem 3 & Quiz

 

 

 

 

Week 5

 

 

11-Feb

 

13-Feb

 

15-Feb

 

 

6

 

 

NO CLASSES

 

adjoint

 

 

 

 

 

 

 

 

 

 

 

 

Week 6

 

 

18-Feb

 

20-Feb

 

22-Feb

 

 

7

 

 

chap 5

 

chapter 5 & 6

 

 

 

 

 

 

 

 

 

 

 

 

Week 7

 

 

25-Feb

 

27-Feb

 

1-Mar

 

 

8

 

 

chapter 6

 

TEST

 

 

 

 

 

Problem 4 & quiz

 

chapt 1-5

 

 

 

 

Week 8

 

 

4-Mar

 

6-Mar

 

8-Mar

 

 

 

Break

 

 

11-Mar

 

13-Mar

 

15-Mar

 

 

9

 

 

Midterm Solution

 

Chapter 6

 

 

 

 

 

 

 

 

 

 

 

 

Week 9

 

 

18-Mar

 

20-Mar

 

22-Mar

 

 

10

 

 

Chapter 6

 

Chapter 6

 

 

 

 

 

 

 

Problem 5

 

 

 

 

Week 10

 

 

25-Mar

 

27-Mar

 

29-Mar

 

 

11

 

 

Chapter 7

 

Chapter 7

 

 

 

 

 

 

 

 

 

 

 

 

Week 11

 

 

1-Apr

 

3-Apr

 

5-Apr

 

 

12

 

 

Chapter 7

 

Photons

 

 

 

 

 

 

 

Problem6

 

 

 

 

Week 12

 

 

8-Apr

 

10-Apr

 

12-Apr

 

 

13

 

 

Photons

 

Chapter 9

 

 

 

 

 

 

 

Problem 7

 

 

 

 

Week 13

 

 

15-Apr

 

17-Apr

 

19-Apr

 

 

14

 

 

Chapter 9

 

Chapter 9

 

 

 

 

 

 

 

 

 

 

 

 

Week 1 4

 

 

22-Apr

 

24-Apr

 

26-Apr

 

 

15

 

 

Chapter 10

 

Chapter 10

 

 

 

 

 

Problem 7

 

Problem 8

 

 

 

 

Week 15

 

 

29-Apr

 

1-May

 

3-May

 

 

 

FINAL EXAMS

Tuesday Morning Comprehensive Final

 

 

 

 

 

 

 

 

 

 

 

EXAM:

Tuesday morning

Arrive any time and take as long as you need