Teaching/Classes

授業

For the lectures on advance topics such as string theory, black holes etc, please go and see Lectures | 講演・講義.

Here is basically about teaching for undergrad and at most 1st year in master course level.

より専門的な内容（弦理論やブラックホール等）の内容の講義についてはLectures | 講演・講義をご覧ください。

ここでは主に学部およびM1の教育／授業について扱います。

Course list

For freshman/sophomore/junior/学部１年・２・３年生向け

○ Thermodynamics and statistical mechanics essentials (for sophomores in the department of physics)

熱学・統計力学要論

2024/Spring&Summer

Content: Equilibrium, Works, Adiabatic change, Absolute temperature, Isothermal change, Quasi-static change, Helmholtz's free energy, Inner energy, Heat, 1st law of thermodynamics, Carnot cycle, Entropy, 2nd law of thermodynamics, More on free energy, Maxwell's relations, Canonical ensemble, Partition function, Boltzmann's entropy, Comparison between thermodynamics and statistical mechanics, etc

○ Quantum Mechanics II (exercises): advanced course (for juniors in the department of physics)

量子力学 II 演義（アドバンスコース）

2024/Spring&Summer, 2023/Spring&Summer

Content: Brief review of Quantum Mechanics I. Harmonic Oscillators, Solving Schrödinger equations in one, two and three dimensions for various potentials. Special functions. Laplacian in polar coordinates. Quantization of angular momentum and spin. Perturbations and non-perturbative phenomena. etc

○ Mechanics II (for freshmen in the department of math/biology)

力学詳論 II

2022/fall&winter, 2021/fall&winter, 2020/fall&winter, 2019/fall&winter,

Content: Brief review of Mechanics I. Coordinate changes. Inertial/fictitious forces, Coriolis force. Center of masses. Two-body and Three-body problem. Torque. Motion of rigid bodies, Moment of inertia (angular mass). Precession of a gyroscope, precession of the equinoxes, etc

○ Mechanics I (for freshmen in the school of engineering)

力学詳論 I

2022/spring&summer, 2021/spring&summer, 2020/spring&summer

Content: Brief history. Basics of math and physics such as vector analysis, calculus. Newton’s laws of motion. Equations of motion. How to solve various differential equations. Taylor expansion. Conservation laws. Thought experiment. Motion in polar coordinates. Central force. Conservation laws. Planetary motion. Properties of waves, etc

○ Mathematics (exercises) for physics: advanced course (for sophomores in the department of physics)

数理物理学演義（アドバンスコース）

2019/spring&summer, 2018/spring&summer, 2017/spring&summer, 2016/spring&summer, 2015/spring&summer,

Content: Vector and vector operations. Derivatives. Differentiation of vectors (gradient, divergence, rotation). Integration of vectors (line integral, Gauss’ theorem, Stokes’ theorem). Preparation for mathematics (trigonometric functions, complex numbers, Euler’s formula). Oscillation of multiple degrees of freedom. Fourier series (periodic functions, trigonometric series, sine, cosine series, complex Fourier series). Properties of Fourier series (Perceval’s equality, orthogonal function system, differentiation
and integration by terms, Gibbs’ phenomenon).
Fourier transform (from Fourier series to Fourier transform, Fourier integral formula, inverse
transform). Properties of Fourier transform (folding, differential and integral rules).
Delta function. Green's function.
Laplace transform, etc

○ Thermodynamics (exercises): advanced course (for sophomores in the department of physics)

熱物理学演義（アドバンスコース）

2017/fall&winter, 2016/fall&winter, 2015/fall&winter, 2014/fall&winter,

Content: Basic concepts of thermodynamics. Heat and work. Ideal gas. Adiabatic change. Carnot cycle. 1st law of thermodynamics and internal energy. Absolute thermodynamic temperature. Entropy. 2nd law of thermodynamics, Free energy. Total derivatives, partial derivatives, and Maxwell’s relations. Chemical potential. Phase and phase equilibrium. Landau's theory of phase transitions, etc

○ Mechanics I (exercises): advanced course (for freshmen in the department of physics)

力学I演義（アドバンスコース）

2014/fall&winter,

Content: Basics of mathematics. Calculus. Vectors and its differential. Equations of motion. How to solve differential equations. More on mathematics (Complex number, Euler’s formula, Taylor expansion etc). Thought experiments. Polar coordinates. Centrifugal force. Conservation laws. Energy, momentum. Planetary motion, etc

○ Special Seminar in Physics (for freshmen, sophomores, juniors)

物理学ゼミナール

2020/fall&winter, 2015/spring&summer, 2014/spring&summer,

Content: Students discuss with faculty and find their own interesting topics and conduct their own research under the guidance of faculty.

* In 2015, 2014, Linear algebra and basics of quantum mechanics

* In 2020, Advanced content of quantum mechanics, such as quantum entanglement, quantum information etc

○ Experiments in physics (for freshmen in the school of engineering)

物理学実験

2018/fall&winter,

Content: Basics of experiments, oscilloscope, Borda's pendulum to measure the gravitational acceleration, etc

For senior/beginning master course student/学部４年・M1向け

○ Introduction to string theory for undergrad (for senior in particle theory group, seminar style)

四年生ゼミ:弦理論入門

2022/spring&summer,

Content: Brief history of string theory, relativity, relativistic point particle and its quantization, Nambu-Goto action, symmetry, relativistic strings, Polyakov action, spectrum, etc

○ Introduction to general relativity for undergrad (for senior in particle theory group, seminar style)

四年生ゼミ:一般相対性理論入門

2021/spring&summer, 2018/spring&summer,

Content: Special relativity, Lorentz transformation, general principle of relativity, Principle of covariance, Equivalence principle, Manifolds, Tensor, Curvature, Einstein's equation, Black holes, etc

○ Quantum field theory for beginning grad student (for 1st year master course student in particle theory group, seminar style)

M1ゼミ:場の量子論

2017/spring&summer, 2016/spring&summer, 2015/spring&summer, 2014/spring&summer ,

Content: Basics of quantum mechanics, Basics of quantum fields, Quantization of fields, Path-integral, Perturbation, Loop corrections, Renormalization, etc

○ Advanced topics in quantum mechanics for undergrad (for senior in particle theory group, seminar style)

四年生ゼミ:アドバンス量子力学

2020/spring&summer,

Content: Basics of quantum mechanics, Path-integral, Soliton, Instanton, Non-perturbative effects, etc