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Mathematical Physical Chemistry

Practical and Intuitive Methodology

  • Shu Hotta

Table of contents

  1. Front Matter
    Pages i-xv
  2. Quantum Mechanics

    1. Front Matter
      Pages 1-1
    2. Shu Hotta
      Pages 57-118
    3. Shu Hotta
      Pages 119-143
  3. Electromagnetism

    1. Front Matter
      Pages 145-145
    2. Shu Hotta
      Pages 147-171
    3. Shu Hotta
      Pages 219-244
    4. Shu Hotta
      Pages 245-295
  4. Linear Vector Spaces

    1. Front Matter
      Pages 297-297
    2. Shu Hotta
      Pages 299-324
    3. Shu Hotta
      Pages 325-385
    4. Shu Hotta
      Pages 387-408
  5. Group Theory and Its Chemical Applications

    1. Front Matter
      Pages 443-443
    2. Shu Hotta
      Pages 445-456
    3. Shu Hotta
      Pages 457-498
    4. Shu Hotta
      Pages 499-546
  6. Back Matter
    Pages 615-627

About this book

Introduction

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. 

Keywords

hydrogen-like atom harmonic oscillator light propagation and reflection operator method quantum chemistry of methane

Authors and affiliations

  • Shu Hotta
    • 1
  1. 1.Faculty of Materials Science & EngineeringKyoto Institute of Technology KyotoJapan

Bibliographic information

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