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Course title |
Quantum Mechanics (1)(tigp) |
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Semester |
111-1 |
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Designated for |
COLLEGE OF ENGINEERING TIGP-MOLECULAR SCIENCE AND TECHNOLOGY |
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Instructor |
CHENG-WEI CHIANG |
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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 |
Elective |
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Time |
Thursday 7,8,9(14:20~17:20) |
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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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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 |
In this semester, we will cover basics of quantum mechanics. |
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Course Objective |
Get familiar with quantum mechanical concepts, operators, Schroedinger equation, and angular momentum algebra. |
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Course Requirement |
quantum physics, linear algebra, classical mechanics |
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Student Workload (expected study time outside of class per week) |
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Office Hours |
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Designated reading |
J.J. Sakurai and Jim J. Napolitano, Modern Quantum Mechanics, 2nd Edition (Pearson Prentice Hall 2004) |
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References |
Eugen Merzbacher, Quantum Mechanics, 3rd Edition (Wiley 1997)
Ramamurti Shankar, Principles of Quantum Mechanics, 2nd Edition (Plenum Press 2008)
Steven Weinberg, Lectures on Quantum Mechanics, 2nd Edition (Cambridge University Press 2015) |
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Grading |
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No. |
Item |
% |
Explanations for the conditions |
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1. |
Midterm Exam |
50% |
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2. |
Final Exam |
50% |
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Week |
Date |
Topic |
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Week 1 |
9/8/2022 |
Quantum Logic, Stern-Gerlach Experiment, Dirac Bra-Ket Notation |
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Week 2 |
9/15/2022 |
Operators, the Matrix Representations, Spin, Commutators |
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Week 3 |
9/22/2022 |
Function of Operators, Observables, Expectation Value |
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Week 4 |
9/29/2022 |
Uncertainty Relations, Quantization Conditions, Change of Representations, Time-Evolution, Schroedinger Equation, Stationary States |
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Week 5 |
10/6/2022 |
Correlation Amplitude, Heisenberg Formalism, Ehrenfest’s Theorem, Simple Harmonic Oscillator |
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Week 6 |
10/13/2022 |
Fock Space/States, Classical Limits, WKB Approximation |
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Week 7 |
10/20/2022 |
Path Integral |
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Week 8 |
10/27/2022 |
Gauge Theory
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Week 9 |
11/3/2022 |
Midterm Exam |
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Week 10 |
11/10/2022 |
Rotation, Angular Momentum |
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Week 11 |
11/17/2022 |
Pure/Mixed Ensembles, Density Operator |
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Week 12 |
11/24/2022 |
Orbital Angular Momentum |
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Week 13 |
12/1/2022 |
Addition of Angular Momentum
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Week 14 |
12/8/2022 |
Clebsche-Gordon Coefficients, Rotation Matrices |
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Week 15 |
12/15/2022 |
Tensor Operators, Wigner-Eckart Theorem |
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Week 16 |
12/22/2022 |
Final Exam |
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