Chapter 1. Schrödinger Equation and Its Application.- Chapter 2. Quantum-Mechanical Harmonic Oscillator.- Chapter 3. Hydrogen-Like Atoms.- Chapter 4. Optical Transition and Selection Rules.- Chapter 5. Approximation Methods of Quantum Mechanics.- Chapter 6. Theory of Analytic Functions.- Chapter 7. Maxwell's Equations.- Chapter 8. Reflection and Transmission of Electromagnetic Waves in Dielectric Media.- Chapter 9. Light Quanta: Radiation and Absorption.- Chapter 10. Introductory Green's Functions.- Chapter 11. Vectors and Their Transformation.- Chapter 12. Canonical Forms of Matrices.- Chapter 13. Inner Product Space.- Chapter 14. Hermitian Operators and Unitary Operators.- Chapter 15. Exponential Functions of Matrices.- Chapter 16. Introductory Group Theory.- Chapter 17. Symmetry Groups.- Chapter 18. Representation Theory of Groups.- Chapter 19. Applications of Group Theory to Physical Chemistry.- Chapter 20.Theory of Continuous Groups.- Chapter 21. The Dirac Equation.- Chapter22. Quantization of Fields.- Chapter 23. Interaction between Fields.- Chapter 24. Basic Formalism.- Chapter 25. Advanced Topics of Lie Algebra.