Schedule of Classes
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Lecture: Tue, Thu 12:30-13:50, Mayer Hall-A 2702
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Discussion session: Thu 14:00-14:50, Mayer Hall-A 2702
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Final: Dec. 9, 2022 (TBA)
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Instructor: Yi-Zhuang You (尤亦庄) (sounds like EACH-ONE, YOU) (He/Him/His)
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Email: yzyou@ucsd.edu
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Office hour: by schedule, https://ucsd.zoom.us/my/yzyou
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Teaching Assistants
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Dachuan Lu (Discussion session) Email: ldachuan@ucsd.edu
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Zhiwen Zhou (Grader) Email: zhz300@ucsd.edu
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Course grade: homework 60%, quizzes 20%, final 20%.
Textbooks
The lecture will follow these books:
[1] Arjun Berera and Luigi Del Debbio, Quantum Mechanics. Cambridge University Press, New York (2021).
[2] Leonard Susskind and Art Friedman, Quantum Mechanics (the Theoretical Minimum). Basic Books, New York. (2014).
Some other books for reference:
[3] R. Shankar, Principles of Quantum Mechanics. Plenum Press, New York. (1994)
[4] J. J. Sakurai, Modern Quantum Mechanics. Addison-Wesley Publishing Company. (1994)
Other References
To learn more about tensor networks, see:
[4] Jacob C. Bridgeman, Christopher T. Chubb. Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks arXiv:1603.03039
Lecture Notes
Part 1. State and Operator (Mathematica) (PDF)
- Quantum States
- Ket and Bra
- Basis
- Quantum Operators
- Operator and Matrix
- Operator Algebra
- Projection Operators
- Measurement
- Hermitian Operators
- Observables
- Sequential Measurements
- Repeated Measurements
- Dynamics
- Unitary Operators
- Time Evolution
Part 2. Quantum Entanglement (Mathematica) (PDF)
- Information Theory
- Classical Information
- Quantum Information
- Quantum Entanglement
Part 3. Quantum Bootstrap (Mathematica) (PDF)
- Harmonic Oscillator
- Position and Momentum
- Operator Algebra
- Quantum Bootstrap
- Angular Momentum
- Operator Algebra
- Quantum Bootstrap
Exercises (Mathematica) (PDF)
Exercises are not required. For homework, see lecture note.