## General Information: PHYS 454, Taught in Fall 2014, Fall 2015, Fall 2016

Lecture Info: |
Tuesdays and Thursdays, 10:20-11:35, GD Hall 218A The prerequisites are PHY 315 (Modern Physics), and MATH 392 (Introduction to Ordinary Differential Equations). |

Office Hours: |
Wednesday, 15:00-16:00, otherwise you may arrange a meeting by appointment. |

Instructor Info: |
Professor Edwin Fohtung office: GD Hall 259A, email: efohtung@nmsu.edu |

Teaching Assistant: |
TBA |

Textbook: |
J. S. Townsend, “A Modern Approach to Quantum Mechanics,” 2nd Edition (required) |

## Course Overview

This is an upper-division course in quantum mechanics, and continues to PHY 455 “Intermediate Quantum Mechanics II”. As seen in the syllabus, the basics of quantum mechanics are taught in a self-contained manner. The course is suitable for undergraduate or graduate students who like to obtain a comprehensive understanding of quantum theory and to master its mathematical treatments from scratch. In case you do not satisfy the above prerequisites, you may still discuss a registration with the instructor.

It is quite important to do exercises and assignements, in order to digest notions and methods in quantum mechanics learned in the lectures. The assignments are not only used to help you understand the material but also to give you a broader insight from into the subject.

The final grade will be determined based on performance of mid-term exams and assignments (their weights are 65 % and 35 % respectively, for now). Their problems will be largely selected from the problems found at the end of chapters. Each mid-term exam is arranged after every chapter is completed. That is how you can study rather narrow, clearly-defined selections of materials for every exam, while they are still fresh in your mind. Overall it is expected that your learning is more effective and at the same time the load by the course is less stressful this way.

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## Syllabus

We plan to cover a good part of the textbook over the course of the semesters (Fall 2014). If time permits, I will explain briefly recent research activities related to quantum mechanics, quantum electronics and quantum information.

1. Stern-Gerlach experiments [Lecture note on the chapter 1]

2. Rotation of basis states and matrix mechanics [Lecture note on the chapter 2]

3. Angular momentum [Lecture note on the chapter 3]

4. Time evolution [Lecture note on the chapter 4]

6. Wave mechanics in one dimension [Lecture note on the chapter 6]

7. The one-dimensional harmonic oscillator [Lecture note on the chapter 7]

5. A system of two spin-1/2 particles [Lecture note on the chapter 5]

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## Tentative Schedule

## Thursday: TH,

Tuesday: TU

Dates | Subject | Home Work/Exams |

Aug. 21,TH | 1 Stern-Gerlach experiments: 1.1 | |

Aug. 26,TU | 1 Stern-Gerlach experiments: 1.2 | |

Aug. 28,TH | 1 Stern-Gerlach experiments – The Quantum state vector: 1.3 | |

Sep. 02, TU | 1 Stern-Gerlach experiments: 1.4-1.5 | Assignment 1 is posted |

Sep. 04, TH | ||

Sep. 09, TU | ||

Sep. 11, TH | 2. Rotation and matrix mechanics 2.1-2.2 | |

Sep. 16, TU | 2. Rotation and matrix mechanics 2.1-2.2 | |

Sep. 18, TH | 2. Rotation and matrix mechanics 2.2 | |

Sep. 23, TU | 2. Rotation and matrix mechanics 2.3-2.4 | |

Sep. 25, TH | 2. Rotation and matrix mechanics 2.5-2.6 | |

Sep. 30, TU | 2. Rotation and matrix mechanics 2.6-2.7 | |

Oct. 02, TH | 2. Rotation and matrix mechanics 2.7-2.8 | |

Oct. 07, TU | 3. Angular momentum 3.1-3.2 | |

Oct. 09, TH | 3. Angular momentum 3.3 | |

Oct. 14, TU | 3. Angular momentum 3.3 | |

Oct. 16, TH | 3. Angular momentum 3.4-3.5 | |

Oct. 21, TU | 3. Angular momentum 3.6 | |

Oct. 23, TH | 3. Angular momentum 3.6-3.7 | |

Oct. 28, TU | 4. Time evolution 4.1 | |

Oct. 30, TH | 4. Time evolution 4.2-4.3 | |

Nov.04, TU | 4. Time evolution 4.3 | |

Nov.06, TH | 4. Time evolution 4.4� | |

Nov.11, TU | 4. Time evolution 4.4-4.5 | |

Nov.13, TH | 4. Time evolution 4.5-4.6 | |

Nov.18, TU | 6. Wave mechanics in one dimension: 6.1 | |

Nov.20, TH | 6. Wave mechanics in one dimension: 6.1-6.2 | |

Nov.25-27 | THANKS GIVING HOLIDAY | |

Nov.27, TH | THANKS GIVING HOLIDAY | |

Dec.02, TU | ||

Dec.04, TH | ||

Dec.09, TU | ||

Dec.11, TH |

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## Assignments

Students may study subjects of assignments together, but everyone is expected to prepare his/her original answer sheets.

1. Assignment due on Sep. 9 (Mon) [Problems: 1.3, 1.5, 1.6, 1.8 Solutions]

2. Assignment due on Sep. 23 (Mon) [Reading the section 2.7 and Problems: 2.8, 2.13, 2.16, 2.24 Solutions]

3. Assignment due on Oct. 7 (Mon) [Problems: 3.5, 3.7, 3.17, 3.19 Solutions]

4. Assignment due on Oct. 28 (Mon) [Problems: 4.4, 4.8, 4.11, 4.13 Solutions]

6. Assignment due on Nov. 11 (Mon) [Problems: 6.2, 6.4, 6.15, 6.23 Solutions]

7. Assignment due on Nov. 25 (Mon) [Problems: 7.4, 7.9, 7.13, 7.23 Solutions]

5. Assignment due on Dec. 13 (Fri) [Problems: 5.3, 5.5, 5.13, 5.17 Solutions]

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## Exams

Students may study subjects of assignments together, but everyone is expected to prepare his/her original answer sheets.

1. Assignment due on Sep. 9 (Mon) [Problems: 1.3, 1.5, 1.6, 1.8 Solutions]

2. Assignment due on Sep. 23 (Mon) [Reading the section 2.7 and Problems: 2.8, 2.13, 2.16, 2.24 Solutions]

3. Assignment due on Oct. 7 (Mon) [Problems: 3.5, 3.7, 3.17, 3.19 Solutions]

4. Assignment due on Oct. 28 (Mon) [Problems: 4.4, 4.8, 4.11, 4.13 Solutions]

6. Assignment due on Nov. 11 (Mon) [Problems: 6.2, 6.4, 6.15, 6.23 Solutions]

7. Assignment due on Nov. 25 (Mon) [Problems: 7.4, 7.9, 7.13, 7.23 Solutions]

5. Assignment due on Dec. 13 (Fri) [Problems: 5.3, 5.5, 5.13, 5.17 Solutions]