PHY 6645 - Fall 2011 - QUANTUM MECHANICS I
FALL 2011
Office: NPB 2063
email: sikivie@phys.ufl.edu
tel: 352.392.1923
chapters 1, 3-14.
There are many other useful textbooks on quantum mechanics. Here is a partial list:
- P.A.M. Dirac `The Principles of Quantum Mechanics', 4th Edition, Oxford U. Press 1958.
- L. Landau and E. Lifchitz `Quantum Mechanics', Pergamon Press.
- L.I. Schiff `Quantum Mechanics', 3d Edition, McGraw-Hill 1968.
- E. Merzbacher `Quantum Mechanics', 2d Edition, Wiley 1970.
- J.J. Sakurai `Modern Quantum Mechanics', Addison-Wesley 1985.
- Mathematical tools
- Postulates
- The Schrodinger equation
- The classical limit
- The harmonic oscillator
- The path integral formulation
- Uncertainty relations
- Identical particles
- Symmetries and conservation laws
- The rotation group and angular momentum
- The hydrogen atom
- Spin
Homework #1
Homework #2 due September 7: 1.6.2, 1.8.3, 1.8.5, 1.8.8, 1.8.10
Homework #3 due September 14: 1.9.1, 1.9.2, 1.9.3, 1.10.1, 1.10.2, 1.10.4
Homework #4
Homework #5, due September 28: 4.2.3, 5.1.1, 5.1.2, 5.1.3, 5.2.1, 5.2.2
Homework #6, due October 5: 5.2.3, 5.2.4, 5.2.6
Homework #7, due October 12: 5.3.1, 5.3.2, 5.3.3, 5.3.4, 5.4.2, 5.4.3
Homework #8
Homework #9, due October 26: 7.4.2, 7.4.3, 7.4.4, 7.4.5, 7.4.6, 7.4.9
Homework #10, due November 2: 7.4.10, 7.5.4, 8.6.1
Homework #11, due November 9: 8.6.2, 8.6.3, 10.1.2, 10.2.3, 10.3.2, 10.3.3
Homework #12, due November 16: 11.4.3, 11.4.4, 12.3.3, 12.3.6, 12.3.7
Homework #13, due November 23: 12.3.8, 12.4.4, 12.5.1, 12.5.3, 12.5.5
Homework #14, due November 30: 12.5.6, 12.5.7, 12.5.9, 12.5.10, 12.5.13, 12.5.14
Homework #15, due December 7: 12.6.1, 12.6.4, 12.6.5, 12.6.8, 12.6.9, 12.6.10
Homework 15 Solutions
Solution to Quiz #10
October 10 ,
and the final exam (50%) on December 14.
INSTRUCTOR
Pierre SikivieOffice: NPB 2063
email: sikivie@phys.ufl.edu
tel: 352.392.1923
CLASS TIMES
MWF, 10:40 - 11:30am, in NPB 1101OFFICE HOURS
MWF, 11:45 - 12:35am, in NPB 2063TEXTBOOK:
`Principles of Quantum Mechanics' (2d edition) by R. Shankar, Plenum 1994. We will coverchapters 1, 3-14.
There are many other useful textbooks on quantum mechanics. Here is a partial list:
- P.A.M. Dirac `The Principles of Quantum Mechanics', 4th Edition, Oxford U. Press 1958.
- L. Landau and E. Lifchitz `Quantum Mechanics', Pergamon Press.
- L.I. Schiff `Quantum Mechanics', 3d Edition, McGraw-Hill 1968.
- E. Merzbacher `Quantum Mechanics', 2d Edition, Wiley 1970.
- J.J. Sakurai `Modern Quantum Mechanics', Addison-Wesley 1985.
COURSE OUTLINE
- Experimental foundations- Mathematical tools
- Postulates
- The Schrodinger equation
- The classical limit
- The harmonic oscillator
- The path integral formulation
- Uncertainty relations
- Identical particles
- Symmetries and conservation laws
- The rotation group and angular momentum
- The hydrogen atom
- Spin
HOMEWORK
There will be one problem set per week, due on Wednesdays.Homework #1
Homework #2 due September 7: 1.6.2, 1.8.3, 1.8.5, 1.8.8, 1.8.10
Homework #3 due September 14: 1.9.1, 1.9.2, 1.9.3, 1.10.1, 1.10.2, 1.10.4
Homework #4
Homework #5, due September 28: 4.2.3, 5.1.1, 5.1.2, 5.1.3, 5.2.1, 5.2.2
Homework #6, due October 5: 5.2.3, 5.2.4, 5.2.6
Homework #7, due October 12: 5.3.1, 5.3.2, 5.3.3, 5.3.4, 5.4.2, 5.4.3
Homework #8
Homework #9, due October 26: 7.4.2, 7.4.3, 7.4.4, 7.4.5, 7.4.6, 7.4.9
Homework #10, due November 2: 7.4.10, 7.5.4, 8.6.1
Homework #11, due November 9: 8.6.2, 8.6.3, 10.1.2, 10.2.3, 10.3.2, 10.3.3
Homework #12, due November 16: 11.4.3, 11.4.4, 12.3.3, 12.3.6, 12.3.7
Homework #13, due November 23: 12.3.8, 12.4.4, 12.5.1, 12.5.3, 12.5.5
Homework #14, due November 30: 12.5.6, 12.5.7, 12.5.9, 12.5.10, 12.5.13, 12.5.14
Homework #15, due December 7: 12.6.1, 12.6.4, 12.6.5, 12.6.8, 12.6.9, 12.6.10
HOMEWORK SOLUTIONS
Homework 14 SolutionsHomework 15 Solutions
QUIZZES
There will be ten quizzes at unannounced times.Solution to Quiz #10