Авторизация
Поиск по указателям
Greiner W., Mueller B. — Quantum mechanics: symmetries
Обсудите книгу на научном форуме
Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter
Название: Quantum mechanics: symmetries
Авторы: Greiner W., Mueller B.
Аннотация: Quantum Mechanics (Symmetries) deals with a particularly appealing and successful concept in advanced quantum mechanics. After a brief introduction to symmetries in classical mechanics, the text turns to their relevance in quantum mechanics, the consequences of rotation symmetry, and the general theory of Lie groups. The isospin group, hypercharge, SU(3) and their applications are all dealt with in depth before chapters on charm, SU(4), and dynamical symmetries lead to the frontiers of research in particle physics. This unique text comprises more than 120 detailed, worked examples and problems.As the third reprint of the second edition, this book has been revised to bring the text up to date.
Язык:
Рубрика: Физика /Общие курсы /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Издание: second edition
Год издания: 1994
Количество страниц: 496
Добавлена в каталог: 09.09.2005
Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
meson 365 398
Abelian transformation group 92
action 9
Active execution of symmetry operation 18
Active rotation 36
Adjoint representation 149
Airy function 399
Airy function, differential equation for 402
Angular momentum algebra 53
Angular momentum operator 30
Angular momentum operators in matrix representation 45
Antibaryons 179
Antiquarks 231
Antisymmetric state 293
Antisymmetrization operator 293
Antisymmetry relation 84
Antitriplet 224
Antiunitarity operators 445
asymptotic freedom 385
Axial vector 444
Axial vector, mesons 240
Baryon 176 231
Baryon decuplet, wave function of 264
Baryon multiplets 387
Baryon nonet 177
Baryon number 378
Baryon octet 207
Baryon octet, spin-flavour wave function of 267
Baryon properties of 177
Baryon resonance 179 217
Baryon resonances, hypercharge of 179
Baryon resonances, isospin of 231
Basis functions 293
Basis tensors 300
Beauty quark 410 412
Beta decay 235
Bottom quark 410 412
Broken symmetry, weakly 104
Cabbibo-suppressed decay 389
Canonical momentum 4 ff.
Cartan matrix 432
Cartan subalgebra 420
Cartan — Weyl basis 420
Cartan — Weyl normalization 424
Cartesian representation 65
Cartesian representation of vector field 63
Casimir operator 327
Casimir operator of a fundamental representation of SU(n) 375
Casimir operator of abelian Lie groups 109
Casimir operator of SO(2,1) 480
Casimir operator of SU(2) 186
Casimir operator of SU(3) 191 197
Casimir operator of the isospin group 161
Casimir operator of the rotation group 106
Casimir operator, completeness of 109
Casimir, Hendrik 126
Centre-of-mass system 2
Charge multiplet 175
Charge operator 217
Charm 365
Charm, quantum numbers 367
Charm, quark 243 367
Charmonium 383 398
Charmonium, model 383
Charmonium, potential model of 398
Chiral group 241
Classical angular momentum 4
Classical Lie algebras, representation of 436
Clebsch — Gordon coefficients 67 ff.
Clebsch — Gordon coefficients for spin-orbit coupling 76
Clebsch — Gordon coefficients of isospin 216
Clebsch — Gordon coefficients of SU(3) 254
Clebsch — Gordon coefficients, calculation of 71 ff.
Clebsch — Gordon coefficients, evaluation of 70
Clebsch — Gordon coefficients, recursion relations 72
Clebsch — Gordon matrix 73
Clebsch, Rudolf Friedrich Alfred 79
Closed algebra 83
Coleman — Glashow relation 251
Colour 289
Commutation relations 28
Commutator 23
Compact Lie algebra 101
Compact Lie group 37 183
Compound nucleus 169
Condon — Shortley phase 57
Congredient transformation 37
Conjugate diagram 307
Conjugate Young diagram 306
Conservation law 15
Conservation law in homogeneous electromagnetic fields 15
Conservation law of angular momentum 5
Conservation of momentum 13
Conservation of total angular momentum 44
Conservation of total energy 3
Conservative systems 3
Conserved quantities 8 ff.
Constant of motion 21
Continuous group 81
Continuous invariant subgroup 94
Continuous transformation 10
Contragredient transformation 36
Coordinate space 19
Coordinate transformation 8 ff.
Coupling of the fundamental multiplet 228
Cross-section 170
Decuplet representation of SU(3) 313
Degeneracy of states 22
Degenerate states 104
Deuteron 140 ff. 164
Diagram, self-conjugate 317
Differential operator 43
Dimension of the representation D(p,q) 214
Displacement operator 34
Doublet 101
Doubly continuously connected group 38
Down quark 219
Dynamic symmetries 9
Dynamical symmetry of geometrical variable 456
Dynkin diagrams 428 ff.
Dynkin diagrams, table of 431
Eckart, Carl Henry 174
Eigenfunctions 53 ff.
Eigenfunctions of the total angular momentum operator 66
Eigenvalues of angular momentum operator 58
Eigenvector 22
Einstein's sum convention 35
Elementary representations of SU(3) 226
Energy conservation 3
Energy degeneracy of rotation group 131
Energy operator 31
Equations of motion 8 ff.
Equations of motion for states shifted in space 20
Equivalence classes 331 ff.
Essential degeneracy 306
Eta resonance 242
Euclidean group E(3) 121
Euler — Lagrange equations 1 ff.
Exotic meson states 288
Exotic quark states 285
F-operator, spherical representation of 190
F-spin 190
F-spin algebra 198
Fine structure 78
Finite group element, of rotation group 82
Finite rotations 39 ff.
Flavour hypercharge 390
Flavour isospin 390
G-Parity 154 ff.
Galilean invariance 11
Galilei transformations 12
Gell-Mann — Nishijima relation 177 379
Gell-Mann — Nishijima relation, generalization of 388
Gell-Mann — Okubo mass formula 252
Gell-Mann, Murray 181
Generator 27
Generator for translational symmetry 26
Generator of a group 81
Generator of rotations 41
Generator of rotations for vector fields 45
Generator of SO(3) 53
Generator of SU(3) 187 220
Generator of the group 20
Generator of the Lie group SO(3) 51
Geometric symmetries 8
Global homogeneity of space 12
Group 33
Group Abelian 33
group characters 336
Group characters, definition of 327
Group continuous 33
group element 39
Group elements, conjugate 331
Group generators, normalization of 149
Group homomorphism 124
Group integration 339
Group isomorphism 124
Group multiplication 33
Group of Lorentz transformations 33
Group of rotations 33
Group of spatial displacements 35
Group of the residue classes 325
Group of translations 34
Group parameter 39
Group representation, invariant properties of 327
Group SO(3) 333
Group SU(n) 183
Group theory 33
Group U(N) 183
Guersey — Radicati mass formula 283
Hamiltonian 21 ff.
Heisenberg algebra 97
Hermitian vector operator 46
Hidden charm 382 398
Hilbert space 19
Homogeneity of space 1 f.
Homogeneity of time 2
Homomorphism of groups 124
Hypercharge 176 ff. 378
Hyperons 217
Ideal 93 ff.
Ideal, abelian 94
Infinitesimal element, of rotation group 82
Infinitesimal rotation 3
Infinitesimal transformation 9 f.
Integral of motion 10
Internal angular momentum 4
Intrinsic angular momentum 45
Intrinsic energy 354
Invariance 1
Invariance of the laws of nature 35
Invariance under a symmetry group 104
Invariant operator 101
Invariant operator, construction of 108
Invariant subgroups 93
Invariant subgroups, abelian 93
Invariant subspace 57
Invariant subspace of the rotation group 94
Invariant subspace, reduction of 94
Inverse element 33
Inversion group 113
Irreducibility, criterion for 337
Irreducible invariant subspace 94
Irreducible representation 59
Irreducible representation of permutation group 307
Irreducible representation of SU(2) 308
Irreducible representation of SU(n) 310
Irreducible representation of the rotation group 57
Iso-invariance 142
Iso-rotation operator 136
Iso-spinor 136
Iso-vector operator 153 ff.
Isobaric charge multiplet 139
Isobaric group 113
Isobaric spin 139
Isobars 139
Isolated systems 2
Isomorphism of groups 124
Isomorphism of the rotation group 38
Isospin 217
Isospin doublet 218
Isospin group 159
Isospin group SU(2) 218
Isospin invariance, experimental test of 159
Isospin multiplet 167
Isospin operator for a multinucleon system 139
Isospin singlet 141
Isospin space 153
Isospin transformation 152
Isospin triplet 141
Isospin vector 153
Isospin vectors, transformation law for 153
Isotropic oscillator, classical 458
Isotropic oscillator, quantum mechanical 458
Isotropy of space 3
J particle 398
J-resonance 243
Jacobi identity 83
K-mesons 233 ff.
Kaon resonance 242
Kepler problem, classical 453
Ket 18
Killing form 98
kinetic energy 11
Kronecker product 34
Lagrange equations 3
Lagrange function 2 ff.
Lagrangian 15
Lie algebra 413
Lie algebra of groups with continuous invariant subgroups 94
Lie algebra of rank 1 425
Lie algebra of rank 2 426
Lie algebra of rank l>2 426
Lie algebra of SO(3) 118
Lie algebra of SO(n) 118
Lie algebra of spin-1, matrix representation of 117
Lie algebra of SU(2) 187
Lie algebra of SU(3) 190 ff.
Lie algebra, classical 413 427
Lie algebra, exceptional 427
Lie algebra, regular representation of 146
Lie algebra, representation of 146
Lie algebra, semi-simple 413
Lie group 37 ff.
Lie group, compact 473 483
Lie group, fundamental properties of 81
Lie group, non-compact 473 483
Lie's theorem 92
Lie, Sophus 51
Local homogeneity of space 13
Local measurements 16
Lorentz force 16
Lorentz group 37
Lorentz group, infinitesimal transformations of 88
Lorentz group, non-compactness 476
Lorentz transformation 19
Lorentz transformation, generators of 88
Lorentz transformation, structure constants of 88
Lorentz — Minkowski metric 88
Magnetic moment of quarks 284 ff.
Реклама