Professor Curtright
325 JLK. Office hours 4-5 pm MWF, or else by
appointment. |
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Quantum Theory I |
PHY670 | Section G |
MWF 2:30-3:20 | 203 JLK | Prerequisites: PHY540, PHY561, PHY651, or
equivalent. |
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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 (2:30-5pm, Friday, 9 March) + Final (2-4:30pm, Wednesday, 9 May) |

Required text: R Shankar, Principles of Quantum Mechanics (2nd Edition)

(also see R Shankar's homepage and list of errata for his book)

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

Home work problems assigned in class (to be graded) are listed here.

Assignment
#1:
Read
Shankar, Chapter 1. Try to do all the
exercises! (But do not
hand in your solutions.) |

Assignment
#2:
The early history of QM in phase space is described here, while
an introductory chapter from my favorite book on the subject
(ahem!) is here.
You should read these at your leisure. Here
are some videos of evolving WFs. |

Assignment
#3: Do HW problems 1 - 4
assigned in class. Due Monday, 6 February. |

Assignment
#4: Read Shankar, Chapters 2 & 3. Solve all 10 exercises marked
by ⋆s. Solutions due Wednesday, 22 February. |

Assignment #5: Read Shankar, Chapter 4. Again, try to do all the exercises! (But do not hand in your solutions.) |

Assignment #6: Do in-class HW problems 5-8. These are due Wednesday, 29 February. (Here is a review of complex variables.) |

Assignment #7: Read
Shankar, Chapter 5. Do all 7 ⋆'d problems.
Solutions for these are due Wednesday, 7 March. |

Assignment #8: Read Shankar, Chapters 6 & 7. Do in-class HW problems 9 & 10. These and any delinquent problems are due 19 March. |

Assignment #9: Read Shankar, Chapter 8, and Chapter 21, pp 581-587. Do in-class HW problems 11-13. |

Assignment #10: Read Shankar, Chapter 9. Do problems 9.4.1-4. These and in-class problems 11-13 are due Monday, 9 April. |

Assignment #11: Read Shankar, Chapter 11, pp 279-296, and Chapter 12. Do Problems 12.3.7, 12.3.8, 12.4.4, and 12.5.1. You may also enjoy reading F. Wilczek, Phys. Rev. Lett. 49 (1982) 957-959. |

Assignment #12: Read
Shankar, Chapter 13. Also see G. Valent, Am. J. Phys.
71 (2003) 171-175 [arXiv quant-ph/0212010]. |

Assignment #13: Do Problems 12.5.7, 12.6.2, and 12.6.3, in Shankar, and in-class HW problem 14. |

Assignment #14: If you plan
to take PHY671 in the fall, during summer break you might
want to read Chapter 10 and the rest of Chapter 11 in
Shankar, so that your QM skills don't atrophy.
Otherwise, enjoy your summer. (And don't miss the
transit of Venus on June 5 & 6.) |

Useful software: Unfortunately, these programs are not free, except on a trial basis.

(1) Maple

(2) Mathematica

(3) Scientific WorkPlace

However, you should also be aware of the useful, free information on the MathWorld and Functions websites, as well as that available on wikipedia.