Mathematical Physical Chemistry

Part I. Quantum Mechanics

1. Schrödinger Equation and Its Application
Shu Hotta

2. Quantum-Mechanical Harmonic Oscillator
Shu Hotta

3. Hydrogen-like Atoms
Shu Hotta

4. Optical Transition and Selection Rules
Shu Hotta

Part II. Electromagnetism

5. Maxwell’s Equations
Shu Hotta

6. Reflection and Transmission of Electromagnetic Waves in Dielectric Media
Shu Hotta

7. Light Quanta: Radiation and Absorption
Shu Hotta

8. Introductory Green’s Functions
Shu Hotta

Part III. Linear Vector Spaces

9. Vectors and Their Transformation
Shu Hotta

10. Canonical Forms of Matrices
Shu Hotta

11. Inner Product Space
Shu Hotta

12. Hermitian Operators and Unitary Operators
Shu Hotta

Part IV. Group Theory and Its Chemical Applications

13. Introductory Group Theory
Shu Hotta

14. Symmetry Groups
Shu Hotta

15. Representation Theory of Groups
Shu Hotta

16. Applications of Group Theory to Physical Chemistry
Shu Hotta

Keywords: Chemistry, Theoretical and Computational Chemistry, Mathematical Methods in Physics, Physical Chemistry, Mathematical Applications in the Physical Sciences