Skip to main content
SpringerLink
Log in

Mathematical Physical Chemistry

Practical and Intuitive Methodology

  • Book
  • © 2020

Overview

Authors:
  1. Shu Hotta

    1. Takatsuki, Japan

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Provides a balanced selection of material that helps chemists understand its essence
  • Includes an operator method well suited for intuitive understanding by chemists
  • Presents methodology developed by the author that will be useful to physicists

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Part I

    1. Front Matter

      Pages 1-2
      Download chapter PDF

    2. Schrödinger Equation and Its Application

      • Shu Hotta
      Pages 3-30

    3. Quantum-Mechanical Harmonic Oscillator

      • Shu Hotta
      Pages 31-56

    4. Hydrogen-Like Atoms

      • Shu Hotta
      Pages 57-123

    5. Optical Transition and Selection Rules

      • Shu Hotta
      Pages 125-150

    6. Approximation Methods of Quantum Mechanics

      • Shu Hotta
      Pages 151-179

    7. Theory of Analytic Functions

      • Shu Hotta
      Pages 181-265

  3. Part II

    1. Front Matter

      Pages 267-267
      Download chapter PDF

    2. Maxwell’s Equations

      • Shu Hotta
      Pages 269-293

    3. Reflection and Transmission of Electromagnetic Waves in Dielectric Media

      • Shu Hotta
      Pages 295-337

    4. Light Quanta: Radiation and Absorption

      • Shu Hotta
      Pages 339-378

    5. Introductory Green’s Functions

      • Shu Hotta
      Pages 379-430

  4. Part III

    1. Front Matter

      Pages 431-431
      Download chapter PDF

    2. Vectors and Their Transformation

      • Shu Hotta
      Pages 433-458

    3. Canonical Forms of Matrices

      • Shu Hotta
      Pages 459-522

    4. Inner Product Space

      • Shu Hotta
      Pages 523-545

    5. Hermitian Operators and Unitary Operators

      • Shu Hotta
      Pages 547-580

    6. Exponential Functions of Matrices

      • Shu Hotta
      Pages 581-617

  5. Part IV

    1. Front Matter

      Pages 619-619
      Download chapter PDF
Back to top

Keywords

About this book

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. 



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 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. 

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation