Time: MWF 11am-12pm

Instructor: Mark Newman

Email: mejn@umich.edu

Office: 322 West Hall

Office hours: Thursdays 1:30-3:30pm

**Quick links:**

**Description:** This course provides an introduction to the quantum
physics of the 20th and 21st centuries. The first half of the course deals
with the fundamental theory of quantum mechanics, which underlies
essentially all of recent physics. The second half deals with applications
of quantum mechanics, including atomic physics, nuclear physics, particle
physics, and cosmology.

**Textbook (required):** *Modern
Physics, 6th edition*, Paul A. Tipler and Ralph A. Llewellyn,
Freeman, New York (2012), ISBN 978-1429250788. You can get away with using
the 5th edition—it contains all the material but some section
numbers and problem numbers are different, so be careful. There is an
accompanying web site that goes with the book here.

**Course work and grading:** There will be problem sets most weeks.
They will be handed out on Fridays and due a week later in class. Due
dates are noted on the schedule below. If for any reason you need to hand
in a homework late you must let the professor know beforehand. The problem
sets will also be available in electronic form for download from this web
page no later than the Friday morning on which they are handed out.

Collaboration is allowed when solving the problem sets, but you are not allowed to simply copy solutions from another student. Everything you hand in must be your own work. Copying from any other source, including the web, is also not allowed.

There will be reading assignments for each lecture. The assignments are listed on the schedule below. (Feel free to print out a copy of this page if you prefer to have the assignments on paper.) Students are expected to do the reading for each lecture in a timely manner.

There will be two midterms and a final. The midterms will take place on Friday, February 13 and Friday, March 27 from 11am to 12pm in 1230 USB (the usual time and place). The final will take place on Monday, April 27 from 4pm to 6pm in 1230 USB. All exams will be open-book, meaning you may bring and use your copy of Tipler & Llewellyn, solutions to homework problems (either your own or the solution sets handed out in class), and your written class notes. Grade for the course will be 20% on the homework, 25% on each midterm, and 30% on the final.

**Problem sets**

- Homework 1 – Relativity, quantization
- Homework 2 – Photons and atoms
- Homework 3 – The Bohr model and de Broglie waves
- Homework 4 – The uncertainty principle and the Schrodinger equation
- Homework 5 – The infinite square well and the simple harmonic oscillator
- Homework 6 – Reflection, transmission and tunneling
- Homework 7 – Atomic physics
- Homework 8 – Statistical mechanics
- Homework 9 – Nuclear physics
- Homework 10 – Particles and astrophysics

**Practice problems**

- Practice exam for final
- List of practice problems from the book

**Course schedule:**This schedule is provisional. Details may change, depending on how fast we progress with the material.

Date Topic Reading On-line resources Notes Wednesday, Jan. 7 Intro and concept review Relativity review Take-home math quiz Friday, Jan. 9 Quantization of mass and charge 3.1 Homework 1 handed out Monday, Jan. 12 Black body radiation 3.2 Wednesday, Jan. 14 Photoelectic and Compton effects 3.3-3.4 Friday, Jan. 16 Atomic spectra 4.1 Homework 1 due, Homework 2 handed out Monday, Jan. 19 **No class**Martin Luther King Day Wednesday, Jan. 21 Rutherford scattering 4.2 Simulation of Rutherford scattering Friday, Jan. 23 The Bohr model of the atom 4.3 Animation of Bohr model Homework 2 due, Homework 3 handed out Monday, Jan. 26 X-ray spectra 4.4-4.5 Wednesday, Jan. 28 De Broglie waves 5.1-5.2 Friday, Jan. 30 Wave functions and wave packets 5.3-5.4 Animation of a wave packet Homework 3 due, Homework 4 handed out Monday, Feb. 2 **Snow day**Wednesday, Feb. 4 The uncertainty principle 5.5-5.7 Friday, Feb. 6 The Schrodinger equation 6.1 No new homework this week Monday, Feb. 9 The square well 6.2 Midterm practice problems Homework 4 due Wednesday, Feb. 11 Pure states and combinations 6.3 Python app Friday, Feb. 13 **Midterm 1**Homework 5 handed out Monday, Feb. 16 Operators 6.4 Wednesday, Feb. 18 The simple harmonic oscillator 6.5 SHO handout 1, SHO handout 2 Friday, Feb. 20 Reflection and transmission 6.6 Homework 5 due, Homework 6 handed out Monday, Feb. 23 The potential barrier 6.6 Wednesday, Feb. 25 The interpretation of quantum mechanics Friday, Feb. 27 Quantum mechanics in 3D 7.1 Winter Break **No class**Have a great break! Monday, March 9 The hydrogen atom 7.2 Homework 6 due Wednesday, March 11 Angular momentum 7.3 Friday, March. 13 Spin 7.4-7.5 Homework 7 handed out Monday, Mar. 16 More than one electron 7.6 Wednesday, Mar. 18 The periodic table 7.7-7.8 Friday, Mar. 20 Statistical mechanics 8.1 Midterm practice problems Homework 7 due, no new homework Monday, Mar. 23 Quantum statistics 8.2-8.3 Wednesday, Mar. 25 **No class**Friday, Mar. 27 **Midterm 2**Homework 8 handed out Monday, Mar. 30 The Fermi gas 8.5 Wednesday, Apr. 1 Structure of the nucleus 11.1-11.2 Friday, Apr. 3 Nuclear decay 11.3-11.4 Homework 8 due, Homework 9 handed out Monday, Apr. 6 The liquid drop model 11.5 and handout Liquid drop model handout Wednesday, Apr. 8 Fundamental particles and forces 12.1-12.2 Friday, Apr. 10 Conservation laws and operators 12.3 Homework 9 due, Homework 10 handed out Monday, Apr. 13 Symmetries and quantum numbers 12.4 Wednesday, Apr. 15 Stars 13.1 and 13.3 Friday, Apr. 17 Neutron stars and black holes 13.5 Monday, Apr. 20 Evolution of the universe 13.7-13.8 Homework 10 due **End of classes**Monday, Apr. 27 **Final exam**4pm–6pm