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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书籍详细信息
- ISBN：9787510042812
- 作者：暂无作者
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- 出版时间：2012-03
- 页数：922
- 价格：146.85
- 纸张：胶版纸
- 装帧：平装-胶订
- 开本：12开
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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． 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．
书籍目录：
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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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． 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．
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