| Course title | |||||
| 生物学基礎 [Fundamental Biology] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～ | Semester | YearLong | |
| Course type | YearLong | Course code | 1060485 | ||
| Instructor(s) | |||||
| 中村 暢文, 一川 尚広 [NAKAMURA Nobufumi, ICHIKAWA Takahiro] | |||||
| Facility affiliation | Graduate School of Bio-Applications and Systems Engineering | Office | Email address | ||
| Course description |
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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 |
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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 |
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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 |
| 4/19/2023 3:06:05 PM |