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Mathematical Physical Chemistry : Practical and Intuitive Methodology / by Shu Hotta.
Springer eBooks EBA - Springer Chemistry and Material Science Collection 2023 Available online
View online- Format:
- Book
- Author/Creator:
- Hotta, Shu, author.
- Language:
- English
- Subjects (All):
- Chemistry, Physical and theoretical.
- Mathematical physics.
- Theoretical Chemistry.
- Mathematical Methods in Physics.
- Physical Chemistry.
- Mathematical Physics.
- Local Subjects:
- Theoretical Chemistry.
- Mathematical Methods in Physics.
- Physical Chemistry.
- Mathematical Physics.
- Physical Description:
- 1 online resource (xxiii, 1327 pages) : illustrations
- Edition:
- 3rd ed. 2023.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
- 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. .
- 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.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 981-9925-12-6
- OCLC:
- 1402779048
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