Mathematical Physical Chemistry

ISBN-13: 9789819925117 / Angielski / Twarda / 2023

Shu Hotta

Opis

The third edition of this book has been updated so that both advanced physics and advanced chemistry can be overviewed from a modern mathematical perspective in a single integrated book. Nowadays key research arears in physics and chemistry such as materials science, molecular science, and device physics are drawing closer and closer together and becoming more and more mathematical. Hence, while retaining the basic feature, the contents are targeted at graduate and undergraduate students majoring in not only chemistry but also physics and engineering.  

The book covers topics ranging from classical physics (e.g., electromagnetism and analytical mechanics) to quantum science. The latter topic includes an introduction to the quantum theory of fields as well as standard quantum mechanics and quantum chemistry. Tangible examples help readers to understand abstract concepts about the topics covered.  

Several major revisions have been made and they contain: (a) constitution of the Dirac equation; (b) quantization of the fields; (c) interaction between the quantum fields; (d) basic formalism related to the extended vector spaces and the transformation properties of the Dirac equation; (e) advanced topics of Lie algebra. The new edition thus supplies chemists, physicists, and engineers with fundamental knowledge and calculation methodology of mathematical physics.  

Spis treści

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.- Chapter 22. Quantization of Fields.- Chapter 23. Interaction between Fields.- Chapter 24. Basic Formalism.- Chapter 25. Advanced Topics of Lie Algebra.

O autorze

Shu Hotta received his doctor of engineering degree at Kyoto University in 1988, while he was employed by Matsushita Electric Industrial Co., Ltd. (currently, Panasonic Corporation). His research interests cover development of novel organic semiconductors and their optoelectronic device applications. Since 2003, he was a professor of the Laboratory of Polymer Physics (currently, Faculty of Materials Science and Engineering), Kyoto Institute of Technology (KIT). He had 12 years teaching experience at KIT. Now he is a Professor Emeritus, KIT. He contributed to 14 books and published 240 scientific articles in internationally renowned journals such as Advanced Materials and Physical Review B, etc. He won APEX/JJAP Editorial Contribution Award from The Japan Society of Applied Physics in 2014.