Schedule of Classes

• Lecture: Tue, Thu 12:30-13:50, Mayer Hall-A 2702

• Discussion session: Thu 14:00-14:50, Mayer Hall-A 2702

• Final: Dec. 9, 2022 (TBA)

• Instructor: Yi-Zhuang You (尤亦庄) (sounds like EACH-ONE, YOU) (He/Him/His)

  • Email: yzyou@ucsd.edu

  • Office hour: by schedule, https://ucsd.zoom.us/my/yzyou

• Teaching Assistants

  • Dachuan Lu (Discussion session) Email: ldachuan@ucsd.edu

  • Zhiwen Zhou (Grader) Email: zhz300@ucsd.edu

• 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.