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Course title |
Quantum Mechanics (1)(tigp) |
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Semester |
109-1 |
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Designated for |
COLLEGE OF SCIENCE GRADUATE INSTITUTE OF PHYSICS |
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Instructor |
CHEN YUAN DONG |
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Curriculum Number |
Phys8067 |
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Curriculum Identity Number |
222ED5061 |
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Class |
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Credits |
3.0 |
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Full/Half
Yr. |
Full |
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Required/
Elective |
Required |
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Time |
Tuesday 2,3,4(9:10~12:10) |
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Remarks |
The upper limit of the number of students: 20.
The upper limit of the number of non-majors: 2. |
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Ceiba Web Server |
http://ceiba.ntu.edu.tw/1091Phys8067_ |
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Course introduction video |
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Table of Core Capabilities and Curriculum Planning |
Table of Core Capabilities and Curriculum Planning |
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Course Syllabus
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Please respect the intellectual property rights of others and do not copy any of the course information without permission
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Course Description |
This course is offered exclusively to students officially enrolled in the Taiwan International Graduate Program (TIGP).
The fundamentals of quantum mechanics, including both theoretical and experimental aspects, will be covered in this course. |
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Course Objective |
After completing the course, the students will pick up certain working knowledge and techniques of quantum mechanics.
Tentative List of Content:
1. Formalism of Quantum Mechanics (Matrix Mechanics)
Vector space, dual space, Hilbert space, and the Dirac notation
Postulates of quantum mechanics
Schrodinger’s picture vs. Heisenberg’s picture
2. But where did “Matrix Mechanics” come from?
The old quantum theory
Heisenberg’s big idea
The canonical quantization condition
Generator of translation and the canonical quantization condition
From the canonical quantization condition to the uncertainty principle
3. Simple Harmonic Oscillator
Raising and lowering operators
The operator approach and solving Schrodinger’s equation
4. Angular Momentum
Angular momentum defined via rotations of a system
The ladder-operators trick
Spin angular momentum
Addition of angular momenta
5. Identical Particles
The symmetrization postulates
6. Time-Independent Perturbation Theory
Non-degenerate vs. degenerate perturbation theory
Variational principle |
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Course Requirement |
The course will be conducted in English.
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Student Workload (expected study time outside of class per week) |
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Office Hours |
Appointment required. Note: I will be happy to meet with students by appointment. |
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Designated reading |
1. Quantum Mechanics, Franz Schwabl, 4th ed, Springer (2007).
2. Introduction to Quantum Mechanics, David J. Griffiths/Darrell F. Schroeter , 3rd ed, Cambridge (2019). |
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References |
待補 |
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Grading |
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No. |
Item |
% |
Explanations for the conditions |
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1. |
Quizzes |
30% |
10% for each quiz. |
2. |
Midterm I |
20% |
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3. |
Midterm II |
20% |
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4. |
Final exam |
30% |
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Week |
Date |
Topic |
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Week 3 |
9/29 |
Quiz 1 |
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Week 7 |
10/27 |
Midterm I |
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Week 9 |
11/10 |
Quiz 2 |
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Week 12 |
12/01 |
Midterm II |
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Week 15 |
12/22 |
Quiz 3 |