PHY 6646 QUANTUM MECHANICS II - Spring 2022

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

Kazi Alam
Office: NPB 2157
email: kazi.a.alam@ufl.edu
Office hours: TBA

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

A course schedule can be found here.


HOMEWORK


There will be one problem set per week, due on Wednesdays. Please submit your homework online at the UF Canvas site for the course. As much as possible, do the homework entirely by yourself. You will learn to the extent that you struggle with the problems on your own.
  • due January 12: homework #1
  • due January 19: 12.6.11, 14.3.2, 14.3.6, 14.3.8, 14.4.3
  • due January 26: 14.4.5, 14.5.1, 14.5.4, 15.1.2
  • due February 2: 15.2.1, 15.2.2, 15.2.4, 15.2.5, 15.2.6, 15.2.7
  • due February 9: 15.3.1, 15.3.2, 15.3.3, 15.3.4, 15.3.5 (all problems in Section 15.3)
  • due February 16: homework #6
  • due March 4: 16.2.4, 16.2.7, 17.2.1, 17.2.2, 17.2.3
  • due March 16: homework #8
  • due March 23: homework #9
  • due March 30: homework #10
  • due April 6: homework #11
  • due April 13: 19.3.1, 19.3.2, 19.3.3, 19.5.4, 19.5.6 , solutions
  • due April 20: 19.5.5, 20.1.1, 20.2.1, 20.2.2, 21.1.3 , solutions


ANNOUNCEMENTS


The Final Exam will be on Saturday April 23 from 10am to 1pm in NPB1101. It covers the material in Chapters 16 through 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 21)   25%
the final exam (April 23) 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.