Group Theory in Solid State Physics and Photonics : Problem Solving with Mathematica (eBook, 2018) []
skip to content
Group Theory in Solid State Physics and Photonics : Problem Solving with Mathematica

Group Theory in Solid State Physics and Photonics : Problem Solving with Mathematica

Author: W Hergert; R Matthias Geilhufe
Publisher: [Place of publication not identified] : John Wiley and Sons, Inc. : Wiley-VCH, 2018.
Edition/Format:   eBook : Document : EnglishView all editions and formats
While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic  Read more...

(not yet rated) 0 with reviews - Be the first.

More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Genre/Form: Electronic books
Additional Physical Format: Print version :
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: W Hergert; R Matthias Geilhufe
ISBN: 9783527413003 3527413006 9783527695799 3527695796 9783527413010 3527413014 9783527413027 3527413022 352741133X 9783527411337
OCLC Number: 1032303077
Description: 1 online resource
Contents: Cover; Main title; Copyright page; Contents; Preface; 1 Introduction; 1.1 Symmetries in Solid-State Physics and Photonics; 1.2 A Basic Example: Symmetries of a Square; Part One Basics of Group Theory; 2 Symmetry Operations and Transformations of Fields; 2.1 Rotations and Translations; 2.1.1 Rotation Matrices; 2.1.2 Euler Angles; 2.1.3 Euler-Rodrigues Parameters and Quaternions; 2.1.4 Translations and General Transformations; 2.2 Transformation of Fields; 2.2.1 Transformation of Scalar Fields and Angular Momentum; 2.2.2 Transformation of Vector Fields and Total Angular Momentum; 2.2.3 Spinors. 3 Basics Abstract Group Theory3.1 Basic Definitions; 3.1.1 Isomorphism and Homomorphism; 3.2 Structure of Groups; 3.2.1 Classes; 3.2.2 Cosets and Normal Divisors; 3.3 Quotient Groups; 3.4 Product Groups; 4 Discrete Symmetry Groups in Solid-State Physics and Photonics; 4.1 Point Groups; 4.1.1 Notation of Symmetry Elements; 4.1.2 Classification of Point Groups; 4.2 Space Groups; 4.2.1 Lattices, Translation Group; 4.2.2 Symmorphic and Nonsymmorphic Space Groups; 4.2.3 Site Symmetry, Wyckoff Positions, and Wigner-Seitz Cell; 4.3 Color Groups and Magnetic Groups; 4.3.1 Magnetic Point Groups. 4.3.2 Magnetic Lattices4.3.3 Magnetic Space Groups; 4.4 Noncrystallographic Groups, Buckyballs, and Nanotubes; 4.4.1 Structure and Group Theory of Nanotubes; 4.4.2 Buckminsterfullerene C60; 5 Representation Theory; 5.1 Definition of Matrix Representations; 5.2 Reducible and Irreducible Representations; 5.2.1 The Orthogonality Theorem for Irreducible Representations; 5.3 Characters and Character Tables; 5.3.1 The Orthogonality Theorem for Characters; 5.3.2 Character Tables; 5.3.3 Notations of Irreducible Representations; 5.3.4 Decomposition of Reducible Representations. 5.4 Projection Operators and Basis Functions of Representations5.5 Direct Product Representations; 5.6 Wigner-Eckart Theorem; 5.7 Induced Representations; 6 Symmetry and Representation Theory in k-Space; 6.1 The Cyclic Born-von Kármán Boundary Condition and the Bloch Wave; 6.2 The Reciprocal Lattice; 6.3 The Brillouin Zone and the Group of the Wave Vector k; 6.4 Irreducible Representations of Symmorphic Space Groups; 6.5 Irreducible Representations of Nonsymmorphic Space Groups; Part Two Applications in Electronic Structure Theory; 7 Solution of the Schrödinger Equation. 7.1 The Schrödinger Equation7.2 The Group of the Schrödinger Equation; 7.3 Degeneracy of Energy States; 7.4 Time-Independent Perturbation Theory; 7.4.1 General Formalism; 7.4.2 Crystal Field Expansion; 7.4.3 Crystal Field Operators; 7.5 Transition Probabilities and Selection Rules; 8 Generalization to Include the Spin; 8.1 The Pauli Equation; 8.2 Homomorphism between SU(2) and SO(3); 8.3 Transformation of the Spin-Orbit Coupling Operator; 8.4 The Group of the Pauli Equation and Double Groups; 8.5 Irreducible Representations of Double Groups.
Responsibility: Wolfram Hergert and R. Matthias Geilhufe.


While group theory is well established, this textbook raises two completely new aspects: gaining a better understanding by focusing on problem solving, making extensive use of Mathematica; offering a  Read more...


User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.