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Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета
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| Mariot A. - Group Theory and Solid State Physics |
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| Предметный указатель |
Born cyclic conditions 38 65
Bravais lattices 37
Brillouin zone 41
Brillouin zone of diamond lattice 43
Characters, definition 23
Characters, properties 23-24
class 4
Competitive functions 50 56 61
Conjugate elements 4
cosets 5
Group of the vector k 67
Group, abelian 2 18
Group, coset of a 5
Group, crystal lattice 34
Group, definition of 2
Group, euclidean displacement 34
Group, examples of 2-3
Group, factor 8 37 66
Group, factor, elements for diamond 80-81
Group, isomorphic 4
Group, point 37
Group, representation of see "Representations"
Group, space 31-35 37
Group, subgroup of a 5
Group, supergroup 7
Group, symmorphic 37
Isomorphism 4
Lattice, Bravais 37
Lattice, diamond 78
Lattice, reciprocal 39-40
Matrices, conjugate 16
Matrices, direct sum of 14
Matrices, equivalent 10-11
Matrices, hermitean 16
Matrices, restriction on rotational 35
Matrices, rotation 33
| Matrices, scalar 17
Matrices, trace of 11
Matrices, transpose of 16
Plane waves as competitive functions 83-84
Plane waves as solutions to the Schroedinger equation 69-71
Plane waves, applied to diamond lattice 77-105
Plane waves, effect of diamond symmetry on 85-86
Plane waves, orthogonalized 73-75
Primitive translations 36 38
Representations 9-29
Representations by matrices 11 55
Representations of translational groups 38-39
Representations, basis of 55
Representations, decomposition of 25-29 56
Representations, degenerate 25
Representations, direct product of 21-22 38
Representations, irreducible, definition of 13
Representations, irreducible, for diamond lattice 86
Representations, non-degenerate 25
Representations, properties of 15-21
Representations, reducible 12-14
Ritz method 45-51 56-61
Schroedinger equation see also "Ritz method"
Schroedinger equation, solution by competitive functions 56-64
Schroedinger equation, solution by plane waves 69-71
Schroedinger equation, symmetry of solutions 53-54
Schur's lemma 18
SCPW (Symmetric combinations of plane waves) 95-100
Secular equation 50 75 100-105 see
Subgroups 5
Subgroups, conjugate 7
Subgroups, index of 6
Subgroups, invariant 7 32 35
Subgroups, translational 32
Unit cell 40
Unit cell of diamond lattice 42-43
Variational method see "Ritz method"
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