## PHY 6646 QUANTUM MECHANICS II - Spring 2018

### INSTRUCTOR

**Pierre Sikivie**

Office: NPB 2063

email: sikivie@phys.ufl.edu

tel: 352.392.1923

### CLASS TIMES

MWF, 10:40am - 11:30pm, in NPB 1101### OFFICE HOURS, NPB 2063

MWF, 11:45am - 12:35pm, in NPB 2063### GRADER

**Jonathan Thompson**

Office: NPB 2062

email: thompson.jon@ufl.edu

Office hours: Tu, 9:35 - 10:25am

### REQUIRED TEXTBOOK

"Principles of Quantum Mechanics" by R. Shankar, 2d edition, Springer 1994. We will cover chapters 17 - 21.There are many other useful textbooks on quantum mechanics. You are encouraged to explore alternatives. Here are four that are commonly used in graduate level courses:

- 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

- Time-independent perturbation theory
- Selection rules
- Time-dependent perturbation theory
- Scattering theory
- Time reversal symmetry
- Motion in a periodic potential
- The parametric resonator
- The eikonal approximation
- Path integral formulation of quantum mechanics
- The Dirac equation

### HOMEWORK

There will be one problem set per week, due on Wednesdays.- due January 17: 17.2.1, 17.2.2, 17.2.3, 17.2.4
- due January 24: 17.2.5, 17.2.7, 17.3.1, 17.3.4
- due January 31: 15.2.1, 15.3.1(2), 15.3.2(3), 15.3.5 (there are typos in the numbering of the problems, and a typo in Eqs. 15.3.11)
- due February 7: 15.2.7, 15.3.3(4), 15.3.4, 17.2.8
- due February 14: 15.1.2, 17.3.2, 17.3.3, 18.2.2
- due February 21: homework #6
- due February 28: 12.3.8, 18.2.5, 18.4.3, 18.4.4
- due March 14: homework #8
- due March 21: homework #9
- due March 28: 19.3.1, 19.3.2, 19.3.3, 19.5.6
- due April 4: 12.6.8, 12.6.9, 12.6.10, 19.5.4
- due April 11: 19.5.3, 19.6.1, 21.1.2, 21.1.3
- due April 18: homework #13 , solutions
- due April 25: homework #14

### ANNOUNCEMENT

The final exam is in NPB 1101 on Tuesday May 1 from 3:00 to 5:00pm. You may bring a formula sheet.### GRADING

Your final grade will be based on:the homework | 25% |

a mid-term test (Feb. 19) | 25% |

the final exam (May 1) | 50% |

The current UF policies for assigning grade points may be found at

**https://catalog.ufl.edu/ugrad/current/regulations/info/grades.aspx**.

### CLASS ATTENDANCE

Requirements for class attendance, make-up exams, and other work in this course are consistent with university policies that can be found at**https://catalog.ufl.edu/ugrad/current/regulations/info/attendance.aspx**.

### ACCOMMODATIONS FOR STUDENTS WITH DISABILITIES

Students with disabilities requesting accommodations should first register with the Disability Resource Center (352-392-8565,**https://www.dso.ufl.edu/drc**) by providing appropriate documentation. Once registered, students will receive an accommodations letter which must be presented to the instructor when requesting accommodation. Students with disabilities should follow this procedure as early as possible in the semester.

### COURSE EVALUATIONS

Students are expected to provide feedback on the quality of instruction in this course by completing online evaluations at**https://evaluations.ufl.edu**. Evaluations are typically open during the last two or three weeks of the semester, but students will be given specific times when they are open. Summary results of these assessments are available to students at

**https://evaluations.ufl.edu/results**.