Mathematical physical chemistry : practical and intuitive methodology /

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Bibliographic Details
Author / Creator:	Hotta, Shu, author.
Imprint:	Singapore : Springer Singapore : Imprint : Springer, 2018.
Description:	1 online resource (XV, 627 pages) : illustrations
Language:	English
Subject:	Mathematical physics. Chemistry, Physical and theoretical -- Mathematics. Chemistry, Physical and theoretical -- Mathematics. Chemistry. Chemistry, Physical and theoretical. Mathematical physics. Physics.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11544142

Hidden Bibliographic Details
ISBN:	9789811076718 9811076715 9811076707 9789811076701
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references at the end of each chapters and index.
Summary:	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.
Other form:	Printed edition: 9789811076701
Standard no.:	10.1007/978-981-10-7671-8

Table of Contents:

Part I. Quantum mechanics: 1. Schrödinger equation and its application
2. Quantum-mechanical harmonic oscillator
3. Hydrogen-like atoms
4. Optical transition and selection rules
Part II. Electromagnetism: 5. Maxwell's equations
6. Reflection and transmission of electromagnetic waves in dielectric media
7. Light quanta: radiation and absorption
8. Introductory Green's functions
Part III. Linear vector spaces: 9. Vectors and their transformation
10. Canonical forms of matrices
11. Inner product space
12. Hermitian operators and unitary operators
Part IV. Group theory and its chemical applications: 13. Introductory group theory
14. Symmetry groups
15. Representation theory of groups
16. Applications of group theory to physical chemistry.

Mathematical physical chemistry : practical and intuitive methodology /

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