Time: MWF 11am-12pm

Instructor: Mark Newman

Office: 322 West Hall

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

Email: mejn@umich.edu

**Description:** This course provides an introduction to the 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, 5th edition*, Paul A. Tipler and Ralph A. Llewellyn,
Freeman, New York (2008), ISBN 0-7167-7550-6. Earlier editions of the book
are not acceptable, because some of the material you will need is not
included, but the 5th edition has been out for several years and used
copies should be available for those who do not wish to buy a new copy.
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 in a week later in class. Due
dates are noted on the schedule below. No late homeworks will be accepted.
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. 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 one mid-term and a final. The mid-term will take place on Wednesday, February 24 from 11am to 12pm in 1230 USB (the usual time and place). The final will take place on Wednesday, April 28 from 4pm to 6pm in 1230 USB (the usual classroom). Both exams will be open-book, meaning you may bring your copy of Tipler & Llewellyn, but you may not use written notes or solutions to coursework problems. Grade for the course will be 30% on the problem sets, 30% on the mid-term, and 40% on the final.

**Problem sets**

- Homework 1 – Quantization of light and charge
- Homework 2 – Rutherford scattering and the Bohr model
- Homework 3 – De Broglie waves
- Homework 4 – The Schrödinger equation
- Homework 5 – Solutions of the Schrödinger equation
- Homework 6 – The hydrogen atom
- Homework 7 – Quantum mechanics of many particles
- Homework 8 – Statistical mechanics and condensed matter
- Homework 9 – Nuclear physics. The list of stable nuclei for this homework is here.
- Homework 10 – Particle physics

**Course schedule:**

Date | Topic | Reading | On-line resources | Notes |
---|---|---|---|---|

Wednesday, Jan. 6 | Intro and concept review | Relativity review | Take-home math quiz | |

Friday, Jan. 8 | Quantization of mass and charge | 3.1 | ||

Monday, Jan. 11 | Black body radiation | 3.2 | ||

Wednesday, Jan. 13 | Photoelectic and Compton effects | 3.3-3.4 | ||

Friday, Jan. 15 | Atomic spectra | 4.1 | Homework 1 handed out | |

Monday, Jan. 18 | No
class | Martin Luther King Day | ||

Wednesday, Jan. 20 | Rutherford scattering | 4.2 | Simulation of Rutherford scattering | |

Friday, Jan. 22 | The Bohr model of the atom | 4.3 | Animation of Bohr model | Homework 1 due, Homework 2 handed out |

Monday, Jan. 25 | X-ray spectra | 4.4-4.5 | ||

Wednesday, Jan. 27 | De Broglie waves | 5.1-5.2 | ||

Friday, Jan. 29 | Wave functions and wave packets | 5.3-5.4 | Animation of a wave packet | Homework 2 due, Homework 3 handed out |

Monday, Feb. 1 | The uncertainty principle | 5.5-5.7 | ||

Wednesday, Feb. 3 | The Schrödinger equation | 6.1 | ||

Friday, Feb. 5 | The square well | 6.2 | Homework 3 due, Homework 4 handed out | |

Monday, Feb. 8 | Pure states and combinations | 6.3 | Combination of states simulation | |

Wednesday, Feb. 10 | Operators | 6.4 | ||

Friday, Feb. 12 | The simple harmonic oscillator | 6.5 | Solution of the harmonic oscillator | Homework 4 due, Homework 5 handed out |

Monday, Feb. 15 | Reflection and transmission | 6.6 | ||

Wednesday, Feb. 17 | The potential barrier | |||

Friday, Feb. 19 | Quantum mechanics in 3D | 7.1 | Homework 5 due, no new homework this week | |

Monday, Feb. 22 | Review session | |||

Wednesday, Feb. 24 | Mid-term exam | Open book, but no course notes | ||

Friday, Feb. 26 | No class | |||

Winter Break | No
class | Have a great break! | ||

Monday, March 8 | The hydrogen atom | 7.2 | ||

Wednesday, March. 10 | Angular momentum | 7.3 | ||

Friday, Mar. 12 | Spin | 7.4-7.5 | Homework 6 handed out | |

Monday, Mar. 15 | No class | |||

Wednesday, Mar. 17 | More than one electron | 7.6 | ||

Friday, Mar. 19 | The periodic table | 7.7-7.8 | Homework 6 due, Homework 7 handed out | |

Monday, Mar. 22 | Statistical mechanics | 8.1 | ||

Wednesday, Mar. 24 | Quantum statistics | 8.2-8.3 | ||

Friday, Mar. 26 | The Fermi gas | 8.5 | Homework 7 due, Homework 8 handed out | |

Monday, Mar. 29 | Structure of the nucleus | 11.1-11.2 | ||

Wednesday, Mar. 31 | Nuclear decay | 11.3-11.4 | ||

Friday, Apr. 2 | The liquid drop model | 11.5 and handout | Liquid drop model handout | Homework 8 due, Homework 9 handed out |

Monday, Apr. 5 | Fundamental particles and forces | 12.1-12.2 | ||

Wednesday, Apr. 7 | Conservation laws and operators | 12.3 | ||

Friday, Apr. 9 | Symmetries and quantum numbers | 12.4 | Homework 9 due, Homework 10 handed out | |

Monday, Apr. 12 | Stars | 13.1 and 13.3 | ||

Wednesday, Apr. 14 | Neutron stars and black holes | 13.5 | ||

Friday, Apr. 16 | Evolution of the universe | 13.7-13.8 | Homework 10 due | |

Monday, Apr. 19 | Review session | |||

End of classes | ||||

Wednesday, Apr. 28 | Final exam | 4pm–6pm. Open book, but no course notes |