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Course title |
Quantum Mechanics (1)(tigp) |
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Semester |
108-1 |
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Designated for |
COLLEGE OF SCIENCE GRADUATE INSTITUTE OF PHYSICS |
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Instructor |
YIH YUH CHEN |
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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/1081Phys8067_ |
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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).
Due to the severe time constraint, it will be a brief and fast-paced introduction to some of the most important concepts of quantum mechanics. The students taking this course are expected to have been familiar with linear algebra and solving ordinary as well as partial differential equations that one encounters in undergraduate quantum physics 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 |
Grading Policy:
1. One Midterm 40%: To be held around Tuesday, December 10, 2019, depending on our pace.
2. Homework 60%. No late homework accepted.
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Student Workload (expected study time outside of class per week) |
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Office Hours |
Appointment required. |
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Designated reading |
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References |
1. Introduction to Quantum Mechanics, David J. Griffiths, 2nd ed, Pearson (2004).
2. Principles of Quantum Mechanics, R. Shankar, 2nd ed, Springer (1994).
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Grading |
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