Course Webpage for PHYS-530A (2014 Spring) at SIU--Carbondale

Course Webpage for
PHYS 530A: Quantum Mechanics-II (2014 Spring)
Department of Physics, Southern Illinois University--Carbondale
Last updated: May 8, 2014. (This page is no more maintained.)

General information:
- Instructor: K. V. Shajesh (Office: Neckers 491, Tel.: 453-5212)
- Class meetings: TR 9:35-10:50 AM, in Neckers 410.
- Office hours for instructor: MWF 12:00-1:00PM, TR 11:00AM-12:30PM.
- Office hours for Ali Abu-Nada: M 12:00-2:00PM.
- Syllabus for the course. The Provost Office has put together a Syllabus Attachment to assist the student. It lists and provides web links for many elements that are important for a student.
Grades will be posted on SIU Online (password protected).
Lecture notes:
1. Review of classical mechanics:
  1. Set-01: Review of Hamilton's principle. [Jan 14, 16]
  2. Set-02: Canonical transformations [Jan 21, 23]
  3. Set-03: Infinitesimal canonical transformations [Jan 28]
2. Review of linear vector spaces:
  1. Set-04: Linear vector space over the complex field [Feb 4]
  2. Set-05: Linear transformations on a vector space [Feb 6]
  3. Set-06: Matrix diagonalization [Feb 11]
3. Stern-Gerlach experiment:
  1. Set-07: Stern-Gerlach experiment [Feb 18, 20, 25]
    (See Set-01 and Set-02 of Fall 2013 notes; Ref. Milton's notes, Chap 1-8; Schwinger's QM book, Chap 1.)
  2. Set-08: Stern-Gerlach experiment and Linear vector space [Feb 27]
    (Schwinger's QM book, Chap 1.)
  3. Set-09: Complementary variables [Mar 4, 6]
    (Schwinger's QM book, Chap 1.)
  4. Set-10: Position and momentum [Mar 6, 18]
    (Schwinger's QM book, Chap 1.)
4. Commutation relations:
  1. Set-11: Angular momentum generators [Mar 20]
    (Set-03 of Fall 2013 notes; Schwinger's QM book, Chap 3.)
  2. Set-12: Galilean tranformation generators [Mar 25]
    (Set-04 of Fall 2013 notes; Schwinger's QM book, Chap 4.)
  3. Set-13: Variation (calculus) of operators. [Apr 1]
    (Set-04 of Fall 2013 notes; Schwinger's QM book, Chap 4.)
  4. Set-14: Spin and Position operator. [Apr 1]
    (Set-05 of Fall 2013 notes; Schwinger's QM book, Chap 4.)
  5. Set-15: Time evolution of dynamical variables and Hamilton equations. [Apr 8]
    (Set-06 of Fall 2013 notes; Schwinger's QM book, Chap 5.)
5. Angular momentum:
  1. Set-16: Angular momentum states [Apr 8, 10]
    (Set-07 of Fall 2013 notes; Schwinger's QM book, Chap 3.)
  2. Set-17: Harmonic oscillator states [Apr 10, 15]
    (Set-08 of Fall 2013 notes; Schwinger's QM book, Chap 3.)
  3. Set-18: Angular momentum decomposition into harmonic oscillators [Apr 17]
    (Set-09 of Fall 2013 notes; Schwinger's QM book, Chap 3.)
  4. Set-19: Rotation transformation function---Stern-Gerlach for arbitrary spin [Apr 17, 22]
    (Set-10 of Fall 2013 notes; Schwinger's QM book, Chap 3.)
  5. Set-20: Addition of angular momentum [Apr 24, 29]
    (Set-14 of Fall 2013 notes; Schwinger's QM book, Chap 3.)
6. Hydrogen atom:
  1. Set-21: (Classical) hydrogen atom [Apr 29]
    (Set-15 of Fall 2013 notes; Schwinger's QM book, Sec. 9.1)
  2. Set-22: Hydrogen atom as sum of two angular momentum [May 1]
    (Set-17 of Fall 2013 notes; Schwinger's QM book, Sec. 9.5)
Homeworks:
1. Homework set No. 01 (Review of Hamilton's principle.) [Solution]
2. Homework set No. 02 (Canonical transformations.) [Solution]
3. Homework set No. 03 (Linear vector space.) [Solution]
4. Homework set No. 04 (Stern-Gerlach experiment.) [Solution]
5. Homework set No. 05 (Complementary variables.) [Solution]
6. Homework set No. 06 (Angular momentum generators.)
7. Homework set No. 07 (Angular momentum states, harmonic oscillator.) [Solution]
8. Homework set No. 08 (Rotation transformation function.)
9. Homework set No. 09 (Addition of angular momentum.)
Exams:
1. Midterm Exam No. 01 and [Solution]
2. Take-Home Exam No. 01
3. Midterm Exam No. 02 and [Solution]
4. Take-Home Exam No. 02
5. Final Exam and [Solution]

More information:

References:
- Quantum Mechanics: Symbolism of Atomic Measurements, by J. Schwinger, edited by B.-G. Englert. (Assigned textbook.)
- K. A. Milton's lecture notes:
  - http://www.nhn.ou.edu/~milton/p3803-12.html
  - http://www.nhn.ou.edu/~milton/p4803-12.html
- Course webpage for 2013 Fall.
- Quantum Mechanics, by L. I. Schiff.
- Principles of Quantum Mechanics, by R. Shankar.
- Quantum Mechanics, by E. Merzbacher.
- Modern Quantum Mechanics, by J. J. Sakurai.
- Quantum Mechanics, by C. Cohen-Tannoudji, B. Diu, and F. Lalo\"{e}.
Evaluation:

Homework 30%

Take-Home Exams (2x10%) 20%

Midterm Exams (2x15%) 30%

Final Exam 20%

Exam schedule:

Midterm Exam I --- February 13 (Thursday, 6:00pm-8:00pm)

Midterm Exam II --- March 27 (Thursday, 6:00pm-8:00pm)

Final Exam --- May 8 (Thursday, 10:10am-12:10pm)

Last updated on May 8, 2014 (and is no more maintained) by K V Shajesh (kvshajesh@gmail.com).

Homework	30%
Take-Home Exams (2x10%)	20%
Midterm Exams (2x15%)	30%
Final Exam	20%

Midterm Exam I	---	February 13 (Thursday, 6:00pm-8:00pm)
Midterm Exam II	---	March 27 (Thursday, 6:00pm-8:00pm)
Final Exam	---	May 8 (Thursday, 10:10am-12:10pm)