【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 mobi 下载 网盘 caj lrf pdf txt 阿里云

《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． C***equently， 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 ***ects 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 ***ect 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, eigenfuncti***, and eigenvalues

1.3 symmetry operators and operator algebra

1.4 point-symmetry operati***

1.5 applicati*** to quantum mechanics

exercises

2 symmetry and group theory

2.1 groups and their realizati***

2.2 the symmetric group

2.3 putational ***ects

2.4 classes

2.5 homomorphism, isomorphism, and automorphism

2.6 direct- or outer-product groups

exercises

3 group representati***: concepts

3.1 representati*** and realizati***

3.2 generation of representati*** on a set of basis functi***

exercises

4 group representati***: formalism and methodology

4.1 matrix representati***

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 ***characteristic

exercises

7 c***truction of the irreducible representati***

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 c***truction of irreps with ds ]1

7.5 summary of the method

exercise

8 product groups and product representati***

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 representati***

8.6 product representati*** and the clebsch-gordan series

8.7 puter codes

8.8 summary

exercises

9 induced representati***

9.1 introductio

9.2 subduced reps and patibility relati***

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 operati***: the seitz operators

10.5 symmorphic and n***ymmorphic 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 ***agerrelati***

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 ofcorepresentati***

12.6 theory of crystal fields

12.7 ***ager reciprocity theorem (***ager relati***) and transportproperties

exercises

13 tensors and tensor fields

13.1 tensors and their space-time symmetries

13.2 c***truction of symmetry-adapted tensors

13.3 description and classification of matter tensors

13.4 tensor field representati***

exercises

14 electronic properties of solids

14.1 introductio

14.2 the one-electron appromati*** and self-c***istent-fieldtheories

14.3 methods and techniques for band structure calculati***

14.4 electronic structure of magically ordered systems

appendix i derivation of the hartree-fock equati***

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 in***cti*** and the method of ewaldsummatio

appendix 2 electronic effects on phon*** in insulators andsemiconductors

exercises

16 experimental measurements and selection rules

16.1 introductio

16.2 selection rules

16.3 differential scattering cross-secti*** in the bornappromatio

1*** light scattering spectroscopies

16.5 p***oemission and dipole selection rules

16.6 neutron and atom scattering spectroscopies

exercises

17.1 phase transiti*** and their classificatio

17.2 landau theory of phase transiti***: principles

17.3 c***truction 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． C***equently， 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 ***ects 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 ***ect 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．