【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 pdb txt pdf 百度云 kindle umd 夸克云
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【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电子书下载地址
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内容简介:
《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.
书籍目录:
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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书籍介绍
《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.
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