Professor Curtright
325 JLK. Virtual office hours 3-4 pm MWF, or else by
appointment (email me!) |
||||||||

Quantum Theory I |
PHY 770 | Section S |
TuTh 3:30-4:45 | In-person |
Prerequisites: PHY 640, 660, & 661, or
equivalent. |
|||

Transformation theory, linear operators and vector spaces, Schrödinger's equation, rotation group and angular momentum, path integrals, deformation quantization, quasi-hermitian systems, statistics, etc. Applications to various physical systems, as time permits. | ||||||||

Grade = Class participation
+ HW + Midterm + Final --- all weighted equally. |

As specified by the Provost, here are the required syllabus statements.

Recommended text: J J Sakurai and J Napolitano, Modern Quantum Mechanics, 3rd Edition (2020).

Of course, you should also avail yourselves of the useful, free information on the MathWorld and Functions websites, as well as that available on wikipedia.

Lecture summaries from a previous incarnation of this course are available online as

http://www.physics.miami.edu/~curtright/PHY770Fall2020/CombinedSummaries.html

Video recordings are available upon written request.

Other source material will be announced in class, and listed below in the Assignments.

Home work problems assigned in a previous incarnation of this course are given here. Expect similar problems this semester.

Assignment
#1:
Read
Sakurai, Chapter 1. Try to do all the exercises! |

Assignment
#2:
Select any 3 problems from Sakurai, Chapter 1, solve them,
and turn in your solutions. You may collaborate if you
wish! |

Assignment
#3:
Read Sakurai, Chapter 2. Again, I encourage you to
solve as many of the problems as you can. |

Assignment #4: Select any 3 problems from Sakurai, Chapter 2, solve them, and turn in your solutions. |

Assignment #5: You would benefit from
reading these
papers on the 1/r potential. |

Assignment #6: Read Sakurai, Chapter 3. As always, I encourage you to solve as many of the problems as you can. |

Assignment #7: Select any 3 problems
from Sakurai, Chapter 3, solve them, and turn in your
solutions. |

Assignment #8: The story of QM in phase space is described here. You should read this at your leisure. |

Assignment #9: For fun: Read this synopsis and look at the cited articles. |

Assignment #10: For profit: Get
the old
QM qualifier exams and solve them! |

Useful software:

(1) Maple

(2) Mathematica

(3) Scientific WorkPlace (NB The manufacturer of SWP went out of business in 2021. Version 6 of this program is currently free for the taking, and will eventually be open source.)