Hotta Mathematical Physical Chemistry

Practical and Intuitive Methodology
2. Auflage 2020
ISBN: 978-981-15-2225-3
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 916 Seiten

Reihe: Chemistry and Material Science (R0)

The second edition of this book has been extensively revised so that readers can gain ready access to advanced topics of mathematical physics including the theory of analytic functions and continuous groups. This easy accessibility helps to create a deeper and clearer insight into mathematical physics, with emphasis on quantum mechanics and electromagnetism along with the theory of linear vector spaces and group theory. The basic nature of the book remains unchanged. The contents are targeted at graduate and undergraduate students majoring in chemistry to supply them with the practical and intuitive methodology of mathematical physics. In parallel, advanced mathematical topics are dealt with in the last chapters of each of the four individual parts so that a close connection among those topics is highlighted. Several important revisions are found in this second edition, however, and they include: (a) a description of set theory and topology that helps to comprehend the essence of the theory of analytic functions and continuous groups; (b) a deep connection between angular momenta and continuous groups; (c) development of the theory of exponential functions of matrices, which is useful to solve differential equations; and (d) updated content on lasers and their applications. This new edition thus provides a balanced selection of new and basic material for chemists and physicists. 

Zielgruppe

Graduate

Autoren/Hrsg.

Hotta, Shu

Inhaltsverzeichnis

Part I: Quantum Mechanics.- 1. Schrödinger Equation and Its Application.- 2. Quantum-Mechanical Harmonic Oscillator.- 3. Hydrogen-Like Atoms.- 4. Optical Transition and Selection Rules.- 5. Approximation Methods of Quantum Mechanics.- 6. Theory of Analytic Functions.- Part II: Electromagnetism.- 7. Maxwell’s Equations.- 8. Reflection and Transmission of Electromagnetic Waves in Dielectric Media.- 9. Light Quanta: Radiation and Absorption.- 10. Introductory Green’s Functions.- Part III: Linear Vector Spaces.- 11. Vectors and Their Transformation.- 12. Canonical Forms of Matrices.- 13. Inner Product Space.- 14. Hermitian Operators and Unitary Operators.- 15. Exponential Functions of Matrices.- Part IV: Group Theory and Its Chemical Applications.- 16. Introductory Group Theory.- 17. Symmetry Groups.- 18. Representation Theory of Groups.- 19. Applications of Group Theory to Physical Chemistry.- 20. Theory of Continuous Groups.

Über Autor(innen)

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 12 books and published 232 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.