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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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