古典力學(一)

Goals: This course offers an advanced (mathematical) formulation of classical mechanics, served as a springboard for various branches of modern quantum physics. General description: Foundations of mechanics are formulated via variational principle and Lagrangian formulism, canonical transformations , Poisson bracket formulation, Hamilton-Jocobi theory, and action-angle variables. Mathematical techniques are used to broaden various kinds of mechanical problems and to make contact to quantum mechanics, such as: scattering theory in central force motions, eigenvalue problem of orthogonal matrix for rigid body rotation, field theory for continuous systems.

Prerequisite: General Physics, Mechanics (undergraduate level), Calculus, Applied Math (Mathematical Physics)

Teaching approaches/methodology: This course is given in English. Blackboard lectures. There will be a Teaching Assistant (TA), who helps to grade homework, exam. The solutions of homework and important notices/announcements/lecture notes will be announced via NCTU e3-platform through NCTU’s website.

Homework, Exams, Grading policy Weekly homework, 70% No midterm exam Final take-home exam 30%

• Variational Principles and Lagrange’s Equations
• The central force problem
• The kinematics of rigid body motion
• The rigid body equation of motion
• Oscillations
• The Hamilton equations of motion
• Canonical transformations
• Hamilton-Jacobi theory and Action-Angle variables
• Canonical perturbation theory
• Lagrangian and Hamiltonian formulations for continuous systems and fields
• Elementary Principles of Mechanics

Classical Mechanics, by Herbert Goldstein, Pearson Education Limited, 2014 (3rd Edition)

地點

SC452

時間

Wed. 1:30-2:30pm

聯絡方式

Tel: ext. 56107 chung@mail.nctu.edu.tw