Mathematical physical chemistry : practical and intuitive methodology / Shu Hotta.
Hotta, Shu, author.
2023
QC20.6
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Title
Mathematical physical chemistry : practical and intuitive methodology / Shu Hotta.
Author
Hotta, Shu, author.
Edition
Third edition.
ISBN
9789819925124 (electronic bk.)
9819925126 (electronic bk.)
9789819925117
DOI
https://doi.org/10.1007/978-981-99-2512-4
Published
Singapore : Springer, [2023]
Copyright
©2023
Language
English
Description
1 online resource (xxiii, 1327 pages) : illustrations
Item Number
10.1007/978-981-99-2512-4 doi
Call Number
QC20.6
Dewey Decimal Classification
530.15
Summary
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 have been 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. .
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 13, 2023).
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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
Chapter 22. Quantization of Fields
Chapter 23. Interaction between Fields
Chapter 24. Basic Formalism
Chapter 25. Advanced Topics of Lie Algebra.

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