【正版全新】 对称和凝聚态物理学中的计算方法M.El-Batanouny，F.Wooten[著]世界图书出版公司北京公司9787510042812 下载 pdf 百度网盘 epub 免费 2025 电子书 mobi 在线

《对称和凝聚态物理学中的计算方法》内容简介：The main emphasis， throughout this book， is on exposing the conceptual building blocksof this mathematical theory of symmetry． Consequently， we frequently skip over long detailed mathematical proofs which can be found in a multitude of textbooks． Instead， we point the reader to references where such proofs are clearly presented． Moreover， in contrast to previous texts on the subject， the different aspects of group theory are presented wherever they are needed rather than being lumped into one single expose． This has the merit of associating a certain aspect of the theory with a tangible physical attribute． Thus， for example， we defer the introduction of cosets and invariant subgroups till we discuss spacegroups， where they find immediate application．

preface

1 symmetry and physics

1.1 introductio

1.2 hamiltonians, eigenfunctions, and eigenvalues

1.3 symmetry operators and operator algebra

1.4 point-symmetry operations

1.5 applications to quantum mechanics

exercises

2 symmetry and group theory

2.1 groups and their realizations

2.2 the symmetric group

2.3 putational aspects

2.4 classes

2.5 homomorphism, isomorphism, and automorphism

2.6 direct- or outer-product groups

exercises

3 group representations: concepts

3.1 representations and realizations

3.2 generation of representations on a set of basis functions

exercises

4 group representations: formalism and methodology

4.1 matrix representations

4.2 character of a matrix representatio

4.3 burnside's method

exercises

putational projects

5 dixon's method for puting group characters

5.1 the eigenvalue equation modulo p

5.2 dixon's method for irreducible characters

5.3 puter codes for dixon's method

appendix 1 finding eigenvalues and eigenvectors

exercises

appendix 2

putation project

6 group action and symmetry projection operators

6.1 group actio

6.2 symmetry projection operators

6.3 the regular projection matrices: the simplecharacteristic

exercises

7 construction of the irreducible representations

7.1 eigenvectors of the regular rep

7.2 the symmetry structure of the regular rep eigenvectors

7.3 symmetry projection on regular rep eigenvectors

7.4 puter construction of irreps with ds ]1

7.5 summary of the method

exercise

8 product groups and product representations

8.1 introductio

8.2 subgroups and cosets

8.3 direct outer-product groups

8.4 semidirect product groups

8.5 direct inner-product groups and their representations

8.6 product representations and the clebsch-gordan series

8.7 puter codes

8.8 summary

exercises

9 induced representations

9.1 introductio

9.2 subduced reps and patibility relations

9.3 induction of group reps from the irreps of its subgroups

9.4 irreps induced from invariant subgroups

9.5 examples of irrep induction using the method oflittle-groups

appendix frobenius reciprocity theorem and other usefultheorems

exercises

10 crystallographic symmetry and space-groups

10.1 euclidean space

10.2 crystallography

10.3 the perfect crystal

10.4 space-group operations: the seitz operators

10.5 symmorphic and nonsymmorphic space-groups

10.6 site-symmetries and the .wyckoff notatio

10.7 fourier space crystallography

exercises

11 space-groups: irreps

11.1 irreps of the translation group

11.2 induction of irreps of space-groups

exercises

12 time-reversal symmetry: color groups and the onsagerrelations

12.1 introductio

12.2 the time-reversal operator in quantum mechanics

12.3 spin-l/2 and double-groups

12.4 magic and color groups

12.5 the time-reversed representation: theory ofcorepresentations

12.6 theory of crystal fields

12.7 onsager reciprocity theorem (onsager relations) and transportproperties

exercises

13 tensors and tensor fields

13.1 tensors and their space-time symmetries

13.2 construction of symmetry-adapted tensors

13.3 description and classification of matter tensors

13.4 tensor field representations

exercises

14 electronic properties of solids

14.1 introductio

14.2 the one-electron appromations and self-consistent-fieldtheories

14.3 methods and techniques for band structure calculations

14.4 electronic structure of magically ordered systems

appendix i derivation of the hartree-fock equations

appendix 2 holstein-primakoff (hp) operators

exercises

15 dynamical properties of molecules, solids, and surfaces

15.1 introductio

15.2 dynamical properties of molecules

15.3 dynamical properties of solids

15.4 dynamical properties of surfaces

appendix 1 coulomb interactions and the method of ewaldsummatio

appendix 2 electronic effects on phonons in insulators andsemiconductors

exercises

16 experimental measurements and selection rules

16.1 introductio

16.2 selection rules

16.3 differential scattering cross-sections in the bornappromatio

16.4 light scattering spectroscopies

16.5 photoemission and dipole selection rules

16.6 neutron and atom scattering spectroscopies

exercises

17.1 phase transitions and their classificatio

17.2 landau theory of phase transitions: principles

17.3 construction and minimization techniques for △φ

exercises

18 inmensurate systems and quasi-crystals

18.1 introductio

18.2 the concept of higher-dimensional spaces: superspaces andsuperlattices

18.3 quasi-crystal symmetry: the notion of indistinguishability andthe clossification of space-groups

18.4 two-dimensional lattices, cyclotomic integers, and aalstacking

bibliography

references

index

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《对称和凝聚态物理学中的计算方法》内容简介：The main emphasis， throughout this book， is on exposing the conceptual building blocksof this mathematical theory of symmetry． Consequently， we frequently skip over long detailed mathematical proofs which can be found in a multitude of textbooks． Instead， we point the reader to references where such proofs are clearly presented． Moreover， in contrast to previous texts on the subject， the different aspects of group theory are presented wherever they are needed rather than being lumped into one single expose． This has the merit of associating a certain aspect of the theory with a tangible physical attribute． Thus， for example， we defer the introduction of cosets and invariant subgroups till we discuss spacegroups， where they find immediate application．