Course by Prof. Ch. Elster

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Physics 735: Advanced Quantum Mechanics

Winter 2009

Instructor

Prof. Ch. Elster

Office

265 Clippinger

e-mail

elster@ohiou.edu

URL

www.phy.ohiou.edu/~elster/phys735/

Class

MTF, 1:10pm - 2:00pm, Clippinger 131 (T 354)

Addl Class (announced)

W, 1:10pm - 2:00pm, Clippinger 131

Office hours

by appointment as needed

Textbooks :

Quantum Mechanics II, A 2nd Course in Quantum Theory , R.H. Landau, 2nd Ed. WILEY-VCH 2004

Additional References:

Modern Quantum Mechanics, J.J. Sakurai, San Fu Tuan, Addison-Wesley, 1994

Quantum Collision Theory, Charles J. Joachain, North-Holland, 1987

Advanced Quantum Mechanics , F. Schwabl, Springer 1997 (well written)

Relativistic Quantum Mechanics: Wave Equations by W. Greiner, Springer 1997 (learning by solving problems)

Relativistic Quantum Mechanics by S.D. Bjorken and J.D. Drell (Library only)

Relativisitc Quantum Mechanics and Introduction to Field Theory, F. J. Yndurain, Springer 1996.

Quantum Mechanics II, A. Messiah

Relativistic Quantum Mechanics and Field Theory, F. Gross, (Wiley 1999)

Mathematical References:

Mathematical Methods for Physicists, G.B. Arfken, H.J. Weber

Methods of Mathematical Physics, Vol. 1, Courant and Hilbert

Methods of Theoretical Physics, I and II, Morse and Feshbach

Grading

Problem sets: 30%; Class Participation: 10%; Take-Home exam: 30%; In-Class Exam: 30%

Homework

Homework will be assigned once every week or once every two weeks, depending on the amount and length of the problems.

Course Content

A course `advanced quantum mechanics' can be viewed on the one hand a course where some of the material is revisited and put into a broader context, on the other hand it should also show some of the advanced concepts, which lead from nonrelativistic quantum mechanics to the problems the incoorporation of special relativity intoduces to quantum mechancis, and which eventually lead to quantum field theory.

  • Quantum Scattering
  • Quantum Dynamics
  • Relativistic Wave Equations (Klein-Gordon, Dirac)

Lecture Notes:

QM Scattering I

QM Scattering II

Quantum Dynamics

Lorentz Transformations

Klein-Gordon Equation

Dirac Equation I

Dirac Equation II

Mandelstam Variables

Homework

Homework Set I: [pdf] Date 01/05/2009, Due 01/09/2009

Homework Set II: [pdf] Date 01/09/2009, Due 01/16/2009

Homework Set III: [pdf] Date 01/16/2009, Due 01/23/2009

Homework Set IV: [pdf] Date 01/23/2009, Due 01/30/2009

Homework Set V: [pdf] Date 01/30/2009, Due 02/06/2009

Homework Set VI: [pdf] Date 02/06/2009, Due 02/13/2009

Homework Set VII: [pdf] Date 02/13/2009, Due 02/20/2009

Homework Set VIII: [pdf] Date 02/20/2009, Due 02/27/2009

Homework Set IX: [pdf] Date 02/24/2009, Due 03/06/2009

Homework Set X: [pdf] Date 03/06/2009, Due 03/13/2009

Exam Set II: [pdf] Date 03/24/2009, Due 03/25/2009, 17:00

Paper I: S.T. Ma, Rev. Mod. Phys. 25, 853 (1953) "Virtual Level of the Deuteron"

Paper II: H. Feshbach, F. Villars, Rev. Mod. Phys. 30, 24 (1958)

Paper III: L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29 (1950)

Charlotte Elster

January 5 2009