Course title
応用力学   [Advanced Mechanics]
Course category common courses  Requirement   Credit 2 
Department   Year   Semester 3rd 
Course type 3rd  Course code 1060485
Instructor(s)
嘉治 寿彦, 室尾 和之   [KAJI Toshihiko, MUROO Kazuyuki]
Facility affiliation Faculty of Engineering Office   Email address

Course description
Analytical mechanics is a generalized form of classical mechanics. As a subject in the curriculum of applied physics, in the first half of this course, students will learn Lagrangian mechanics, starting from principle of least action, and then Hamiltonian mechanics. In the last half, students will learn application of analytical mechanics to quantum mechanics and to statistical mechanics.
Classcode: inub2co
Expected Learning
1. Students will be able to apply analytical mechanics to various problems in classical mechanics.
2. Students will be able to understand quantum mechanics and statistical mechanics based on analytical mechanics..

Corresponding criteria in the Diploma Policy: See the Curriculum maps.
Course schedule
Week 1: Concept of Principle of Least Action 1: Statics and Optics
Week 2: Concept of Principle of Least Action 2: Statistical Mechanics and Electrodynamics
Week 3: Concept of Principle of Least Action 3: Quantum mechanics
Week 4: Lagrangian Mechanics (Euler-Lagrange equation)
Week 5: Equilibrium of Forces and Virtual work principle
Week 6: D'Alembert's Principle
Week 7: Hamilton's Principle and Lagrange Function
Week 8: Lagrange Undetermined Multiplier
Week 9: Lagrange Equation of Motion
Week 10: Hamilton's Formulation
Week 11: Legendre transformation and Thermodynamic Function
Week 12: Hamilton's Canonical Equation
Week 13: Canonical Quantization (from Hamilton's Canonical Equation to Schrodinger Equation)
Week 14: Statistical Mechanics and Concept of Phase Space
Week 15: Ergodic Theorems, Liouville's Theorem, and Microcanonical Distribution
Prerequisites
Students are recommended to prepare for each subject, spending the standard amount of time as specified by the University and using the handouts as well as the references specified below.
Required Text(s) and Materials
References
Assessment/Grading
Report or Exam (100%).
Message from instructor(s)
Course keywords
Office hours
Ask by e-mail.
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
3/17/2022 9:25:19 AM