Mathematical Physical Chemistry: Practical and Intuitive Methodology
This book introduces basic concepts of mathematical physics to chemists. Many textbooks and monographs of mathematical physics may appear daunting to them. Unlike other, related books, however, this one contains a practical selection of material, particularly for graduate and undergraduate students majoring in chemistry. The book first describes quantum mechanics and electromagnetism, with the relation between the two being emphasized. Although quantum mechanics covers a broad field in modern physics, the author focuses on a hydrogen(like) atom and a harmonic oscillator with regard to the operator method. This approach helps chemists understand the basic concepts of quantum mechanics aided by their intuitive understanding without abstract argument, as chemists tend to think of natural phenomena and other factors intuitively rather than only logically. The study of light propagation, reflection, and transmission in dielectric media is of fundamental importance. This book explains these processes on the basis of Maxwell equations. The latter half of the volume deals with mathematical physics in terms of vectors and their transformation in a vector space. Finally, as an example of chemical applications, quantum chemical treatment of methane is introduced, including a basic but essential explanation of Green functions and group theory. Methodology developed by the author will also prove to be useful to physicists.
1133188218
Mathematical Physical Chemistry: Practical and Intuitive Methodology
This book introduces basic concepts of mathematical physics to chemists. Many textbooks and monographs of mathematical physics may appear daunting to them. Unlike other, related books, however, this one contains a practical selection of material, particularly for graduate and undergraduate students majoring in chemistry. The book first describes quantum mechanics and electromagnetism, with the relation between the two being emphasized. Although quantum mechanics covers a broad field in modern physics, the author focuses on a hydrogen(like) atom and a harmonic oscillator with regard to the operator method. This approach helps chemists understand the basic concepts of quantum mechanics aided by their intuitive understanding without abstract argument, as chemists tend to think of natural phenomena and other factors intuitively rather than only logically. The study of light propagation, reflection, and transmission in dielectric media is of fundamental importance. This book explains these processes on the basis of Maxwell equations. The latter half of the volume deals with mathematical physics in terms of vectors and their transformation in a vector space. Finally, as an example of chemical applications, quantum chemical treatment of methane is introduced, including a basic but essential explanation of Green functions and group theory. Methodology developed by the author will also prove to be useful to physicists.
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Mathematical Physical Chemistry: Practical and Intuitive Methodology

Mathematical Physical Chemistry: Practical and Intuitive Methodology

by Shu Hotta
Mathematical Physical Chemistry: Practical and Intuitive Methodology

Mathematical Physical Chemistry: Practical and Intuitive Methodology

by Shu Hotta

Overview

This book introduces basic concepts of mathematical physics to chemists. Many textbooks and monographs of mathematical physics may appear daunting to them. Unlike other, related books, however, this one contains a practical selection of material, particularly for graduate and undergraduate students majoring in chemistry. The book first describes quantum mechanics and electromagnetism, with the relation between the two being emphasized. Although quantum mechanics covers a broad field in modern physics, the author focuses on a hydrogen(like) atom and a harmonic oscillator with regard to the operator method. This approach helps chemists understand the basic concepts of quantum mechanics aided by their intuitive understanding without abstract argument, as chemists tend to think of natural phenomena and other factors intuitively rather than only logically. The study of light propagation, reflection, and transmission in dielectric media is of fundamental importance. This book explains these processes on the basis of Maxwell equations. The latter half of the volume deals with mathematical physics in terms of vectors and their transformation in a vector space. Finally, as an example of chemical applications, quantum chemical treatment of methane is introduced, including a basic but essential explanation of Green functions and group theory. Methodology developed by the author will also prove to be useful to physicists.

Product Details

ISBN-13: 9789811356674
Publisher: Springer Nature Singapore
Publication date: 02/08/2019
Edition description: Softcover reprint of the original 1st ed. 2018
Pages: 627
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

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, 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 216 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.

Table of Contents

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.
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