## PHY 6646 QUANTUM MECHANICS II - Spring 2019

### 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

**Suzanne Rosenzweig**

Office: NPB 53

email: srhelfrich@ufl.edu

Office hours: Mondays, 2-3 pm

### REQUIRED TEXTBOOK

"Principles of Quantum Mechanics" by R. Shankar, 2d edition, Springer 1994. We will cover chapters 13 - 20.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 and J. Napolitano, `Modern Quantum Mechanics', 2d Edition, Cambridge University Press 2017.

### COURSE OUTLINE

- The Hydrogen atom
- Spin
- Addition of angular momentum
- Variational and WKB methods
- The eikonal approximation
- Time-independent perturbation theory
- Time-dependent perturbation theory
- Scattering theory
- Motion in a periodic potential
- The parametric resonator
- The Dirac equation

### HOMEWORK

There will be one problem set per week, due on Wednesdays.

- due January 16: 12.5.7, 12.5.9, 12.5.10, 12.5.13, 12.5.14, 12.6.1, 12.6.4
- due January 23: homework #2
- due January 30: 14.3.2, 14.3.6, 14.3.8, 14.4.3, 14.4.5
- due February 6: homework #4,
- due February 13: homework #5
- due February 20: homework #6
- due February 27: homework #7
- due March 13: homework #8
- due March 20: homework #9
- due March 27: homework #10
- due April 3: homework #11
- due April 10: homework #12
- due April 17: 19.3.2, 19.5.3, 19.5.4, 19.5.6
- due April 24: homework #14

### ANNOUNCEMENTS

A schedule for the last month of the course can be found here .

The final exam is in NPB 1101 on Thursday May 2 from 10:00am to 12:00n. It will emphasize the material in Chapters 16, 17, 18, 19 and 20 of Shankar's book. You may bring a formula sheet.

### GRADING

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

a mid-term test (February 18) | 25% |

the final exam (May 2) | 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**.