Fall 2023

Department of Physics

Office: Disque 811

Email: vogeley@drexel.edu

Office hours: TBA

We are living in a quantum world. Get used to it.

Announcements

Course Meetings

Syllabus

Course Description and Philosophy

Course Outline

Course Learning Outcomes

Textbook and Reading Assignments

Grading

Exams

Course Schedule

Course rules of conduct

Welcome back to Drexel and welcome to the home page of QM III. This web page is also the syllabus for the course. See the Blackboard Learn site for this course for details about assignments and exams. Course materials are provided only to registered students at Drexel University.

In the first two quarters of our three part sequence on QM, you studied the basic equations, discussed the similarities and differences between the classical and QM descriptions, and solved some simple, typically one-dimensional problems. In the second quarter you worked on QM in three dimensions, including description of the Hydrogen atom, from which you could first see how the QM formulation yields accurate predictions of the observed phenomena, and studied multi-particle systems.

Now you're ready to delve more deeply into QM. Read through the
practice problems to tune up your brains after the Summer (and the
coop cycle). Then we'll quickly step up to more interesting work. Most
problems more complicated than those you solved in QM I and II require
use of one approximation scheme or another. Clearly, learning to do
Physics is more than just memorizing equations; you need to learn
methods for applying them: * perturbation theory* and * the
variational principle,* for example. We'll examine the interaction of
radiation with matter to see how absorption and emission
of *photons* arises from perturbation theory. Then we will
study *scattering theory * which describes how particles interact
with each other, as in collisions in a particle accelerator.
We will also consider some deep questions and experiments that strike at
the core of our understanding of quantum mechanics, including
the *EPR paradox* and * Bell's Theorem*.

Not necessarily in chronological order:

- Review of Principles and Simple Problems
- Time-Independent Perturbation Theory (Ch. 7)
- Nondegenerate Perturbation Theory
- Degenerate Perturbation Theory
- The Fine Structure of Hydrogen
- The Zeeman Effect
- Hyperfine Splitting

- Time-Dependent Perturbation Theory (Ch. 11)
- Two-level systems
- Emission and absorption of radiation (Photons!)
- Spontaneous emission

- Variational Principle (Ch. 8)
- Theory
- Ground state of Helium
- Hydrogen molecule ion

- Scattering Theory (Ch. 10)
- Partial wave analysis
- Phase shifts
- Born approximation

- Deep Questions in Quantum Mechanics (Ch. 12)
- EPR paradox
- Bell's theorem
- No-clone theorem
- Schroedinger's cat
- Quantum zeno paradox

- Apply time-independent perturbation theory to find the fine structure and hyperfine structure of Hydrogen.
- Use time-dependent perturbation theory to understand two-level systems, in particular emission and absorption rates of photons.
- Apply the variational principle to solve for the ground state of Helium and other simple systems.
- Use the methods of partial wave analysis, phase shifts, and the Born approximation to predict results of scattering of particles from simple potentials.
- Explain the EPR paradox, Bell's theorem, and the importance of entangled states.

See the Course Schedule for the assigned readings, which you should do before class, so that you are prepared to ask and answer questions.

I will also hand out photocopies of selected passages from other QM texts, as necessary to supplement Griffiths.

Problem Sets: 30%

Class Participation (in-class problems): 5%

Midterm Exam: 25%

Final Exam: 40%

Final grades will be assigned following the usual correspondence between percentage scores and letters: 90-100 is A- to A+, 80-89 is B- to B+, etc. However, there may be a positive curve, which means that your letter grade could be higher than in the normal grading scheme (e.g., a 90 is at least an A-).

There will be seven problem sets. You will have a week to a week and a half to complete each. No late homework will be accepted. Please neatly and accurately write up your solutions to these problems; the notation of QM is quite compact in places and small differences in the equations can have large differences in meaning. I will hand out solutions to the problems on or shortly after their due dates, to give you feedback as quickly as possible.

You may discuss the homework with your classmates, but you and you alone are responsible for the work that you turn in. Please write up your own solutions to the problems. Breaches of this policy will result in homework scores being divided by the number of ``participants.'' Second offenses may result in failure (of the class).

Use of solutions to these problems from previous years constitutes plagiarism. You must attribute (by giving the correct reference) any significant help that you receive from outside sources.

Any topic covered in lecture, the assigned readings, or homeworks is fair game. I will distribute a non-exhaustive list of "questions to ponder" in advance of each exam to help guide your studying.

The midterm exam will be in class during week 6 and will cover material during the first five weeks or so.

The final exam will be held during exam week (date and location TBA). It will be comprehensive and half closed and half open book. You may bring a calculator to perform numerical calculations only.

Week |
Class Dates |
Reading |
Homework |
Exams |

1 | September 26, 28 | practice problems, Griffiths ch. 7 | ||

2 | October 3, 5 | Griffiths ch. 7 | HW1 | |

3 | October 10, 12 | Griffiths ch. 11 | HW2 | |

4 | October 17, 19 | Griffiths ch. 11 | HW3 | |

5 | October 24, 26 | Griffiths ch. 10 | HW4 | |

6 | October 31, November 2 | Griffiths ch. 10 | Midterm Exam in class 11/2 | |

7 | November 7, 9 | Griffiths ch. 10 | HW5 | |

8 | November 14, 16 | Griffiths ch. 10, 8 | ||

9 | November 21, (No class 11/23 for Thanksgiving break) | Griffiths ch. 8, 12 | ||

10 | November 28, 30 | Griffiths ch. 12 and handouts | HW6 | |

11 | December 5, 7 | Griffiths ch. 12 and handouts | HW7 | |

12 | No Class | Final Exam TBA |

Electronic distractions: Silence your cell phone. Turn off notifications on your phone and computer so that they don't pop up and distract you.

Plagiarism: Use your own very large brain (you're a physicist!) and
don't even think about cheating.
The usual University rules apply. By
stepping into the classroom, you agree to abide by Drexel's policy on
Academic Integrity (www.drexel.edu/provost/policies/academic-integrity/)

Students with disabilities requesting accomodation and services at Drexel University need to present a current accomodation letter (AVL) to faculty before accomodations can be made. This cannot be done retroactively. AVL's are issued by the Office of Disability Services (ODS). For additional information, contact ODS at www.drexel.edu/ods 3201 Arch St., Suite 210, 215-895-1401 (V), or 215-895-2299 (TTY).

Course
Add/Drop Policy (www.drexel.edu/provost/policies/course-add-drop)

Course
Withdrawal Policy (www.drexel.edu/provost/policies/course-withdrawal)

Drexel Student Code of Conduct (www.drexel.edu/studentlife/community_standards/code-of-conduct/)

Course Syllabus Change policy: Details of this syllabus are subject to
change at any time. The Blackboard Learn pages are the official
description of the course requirements.
Please pay attention to announcements during
class and email from the instructor. Significant changes will be announced in
writing by email sent to all registered students.

Last update: August 30, 2023