PHYS5110 Fundamentals of Classical Mechanics and Special Relativity
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PHYS5110 Fundamentals of Classical Mechanics and Special Relativity

This is a graduate-level introduction to classical mechanics and special relativity for Master of Science students. The course covers: Lagrangian and Hamiltonian formulations and applications, relativity and spacetime, and relativistic mechanics. Optional topics include: nonlinear dynamics and chaos, continuum mechanics, and Hamiltonian-Jacobi theory.
Lecturer

Lap-Ming Lin
Office: SC 221, Tel: 39434072, Email: lmlin@cuhk.edu.hk
Consultation Hour: University office hours

Teaching Assistant

Tianyao Fang
Office: SC 313, Email: tyfang@phy.cuhk.edu.hk
Consultation Hour: Wednesday 3:15pm-5:15pm

Lecture Class

Monday 6:30pm - 8:15pm (Zoom)
Wednesday 6:30pm - 7:15pm (Zoom)
[The Zoom meeting links will be emailed to students]

Tutorial Class

Wednesday 7:30pm - 8:15pm (Zoom)

Course website

*** CUHK Blackboard ***
https://www.edtech.cuhk.edu.hk/lms-blackboard

Reference Books

  • S. T. Thornton and J. B. Marion, “Classical Dynamics of Particles and Systems”, 5th ed., Thomson, 2004.
  • W. Greiner, “Classical Mechanics: Systems of Particles and Hamiltonian Dynamics”, 2nd ed., Springer, 2010.
  • L. N. Hand and J. D. Finch, “Analytical Mechanics”, Cambridge University Press, 1998.
  • P. Mann, “Lagrangian and Hamiltonian Dynamics”, Oxford University Press, 2018.
  • H. Goldstein, C. Poole, and J. Safko, “Classical Mechanics”, 3rd ed., Addison Wesley, 2000.
  • D. D. Nolte, “Introduction to Modern Dynamics: Chaos, Networks, Space and Time”, Oxford University Press, 2015.
  • J. Franklin, “Advanced Mechanics and General Relativity”, Cambridge University Press, 2010.

  • Assessment Scheme

    Homework 20%
    Midterm Exam. 35%
    Final Exam. 45%

    Course Outline

  • Review of Newtonian mechanics
  • D’Alembert principle and Lagrange’s equations
  • Symmetries and conservation laws
  • Calculus of variation and Hamilton’s principle
  • Hamiltonian dynamics
  • Canonical transformations
  • Special relativity: Physical foundation and geometric formulation
  • Relativistic mechanics
  • Selected optional topics