This course is designed to provide students the ability for systematic understanding on various chemical phenomena in terms of microscopic point of view, as well as present status of research in the fields.
The course is organized to develop students' abilities in the following three subjects:
1) Understanding fundamental theory on angular momentum, which is one of the most important subjects in physical chemistry,
2) Understanding basics on coherent interaction between molecules and optical field, and its application to control of molecular motion.
3) Understanding basics on surface science, including adsorption, desorption, and reaction at surfaces.
Students will acquire the following three skills by taking this course.
1) Gain an understanding of the basic principles of angular momentum, and apply them appropriately to basic problems,
2) Gain an understanding of coherent interaction between molecules and optical field, and apply them appropriately to control of molecular motion,
3) Gain an understanding of basics of surface science, and apply them appropriately in dynamical studies of surfaces.
Angular momentum, Coherent interaction, Molecular motion, Surface science, Chemical reactions at surfaces
Intercultural skills | Communication skills | ✔ Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
Towards the end of class, students are given exercise problems related to what is taught on that day to solve.
Course schedule | Required learning | |
---|---|---|
Class 1 | Orbital and spin angular momentum operators | Describe the orbital angular momentum in the classical mechanics. |
Class 2 | Commutation relation, eigenvalues, and eigen states for angular momentum | Describe the commutation relation for angular momentum. |
Class 3 | Coupling of two angular momenta | Describe the triangle condition for coupled angular momentum. |
Class 4 | Clebsch-Gordan coefficients | Explain the 3j-symbol. |
Class 5 | Rotational matrices and their application | Explain how the angular-momentum eigen states are transformed by rotation of the axes. |
Class 6 | Optical transitions | Describe the lowest order term in the field-matter interaction. Explain the relation between the Einstein's A and B constants. |
Class 7 | Coherence of light | Explain the interference in the Young's double slit experiment. Describe the relation between the coherence of light and the line width. |
Class 8 | Coherent interaction between molecules and optical field | Calculate the Rabi frequency by using the light intensity and the transition moment. Explain what the pi-pulse condition is. |
Class 9 | Coherence of molecules | Explain what a quantum wave packet is. Describe the relation between the pulse width and the frequency width. |
Class 10 | Molecular coherent control | Describe the two main themes for coherent control. Explain what the collapse and revival of wave packets are. |
Class 11 | Characteristics of surfaces | Exlain the difference of surfaces compared from bulk solids. |
Class 12 | Structure of surfaces | Describe typlical local structures of solid surfaces. |
Class 13 | Electronic properties and adsorption | Describe characteristic electronic properties of solid surfaces. |
Class 14 | Surface reactions | Descirbe the importance of adsorption, diffusion, and desorption in surface reactions. |
Class 15 | Analytical methods for surfaces | Describe typlical analytical methods for solid surfaces. |
Not specified.
Physical chemistry: A molecular approach,by D. A. McQuarrie and J. D. Simon, The University Science Books
Students will be assessed on their understanding of fundamentals of angular momentum, coherent interaction between molecules and optical field, and surface science.
Students' course scores are based on the final exam.
Not specified.