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Mathematical Physical Chemistry

Practical and Intuitive Methodology

  • Textbook
  • © 2023
  • Latest edition

Overview

Authors:
  1. Shu Hotta

    1. Takatsuki, Japan

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  • Overviews a modern mathematical perspective of advanced physics and chemistry in a single integrated book
  • Shows tangible examples to help readers' understanding an abstract concept
  • Presents methodology developed by the author that will be useful to readers

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About this book

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 havebeen 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.  


Keywords

Table of contents (25 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Part I

    1. Front Matter

      Pages 1-2
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    2. Schrödinger Equation and Its Application

      • Shu Hotta
      Pages 3-30

    3. Quantum-Mechanical Harmonic Oscillator

      • Shu Hotta
      Pages 31-58

    4. Hydrogen-Like Atoms

      • Shu Hotta
      Pages 59-125

    5. Optical Transition and Selection Rules

      • Shu Hotta
      Pages 127-153

    6. Approximation Methods of Quantum Mechanics

      • Shu Hotta
      Pages 155-183

    7. Theory of Analytic Functions

      • Shu Hotta
      Pages 185-274

  3. Part II

    1. Front Matter

      Pages 275-275
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    2. Maxwell’s Equations

      • Shu Hotta
      Pages 277-303

    3. Reflection and Transmission of Electromagnetic Waves in Dielectric Media

      • Shu Hotta
      Pages 305-350

    4. Light Quanta: Radiation and Absorption

      • Shu Hotta
      Pages 351-399

    5. Introductory Green’s Functions

      • Shu Hotta
      Pages 401-453

  4. Part III

    1. Front Matter

      Pages 455-455
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    2. Vectors and Their Transformation

      • Shu Hotta
      Pages 457-484

    3. Canonical Forms of Matrices

      • Shu Hotta
      Pages 485-548

    4. Inner Product Space

      • Shu Hotta
      Pages 549-570

    5. Hermitian Operators and Unitary Operators

      • Shu Hotta
      Pages 571-605

    6. Exponential Functions of Matrices

      • Shu Hotta
      Pages 607-644

  5. Part IV

    1. Front Matter

      Pages 645-645
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Authors and Affiliations

  • Takatsuki, Japan

    Shu Hotta

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 (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.


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