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Greiner W., Mueller B. — Quantum mechanics: symmetries
Greiner W., Mueller B. — Quantum mechanics: symmetries

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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: en

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
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Предметный указатель
Many-particle Schroedinger equation      50
Many-particle systems      450
Many-particle wave function      50
Many-quark states      228
Mass formula of Gell-Mann — Okubo      252
Matrix representation      39
Maximal weight      205
Meson      178
Meson multiplets      240
Meson nonet      232
Meson with hidden charm      385
Meson with open charm      386
Metric      88
Metric tensor      88 474
Metric tensor of SO(3)      100
Mixed symmetric state      293
Momentum conservation in classical mechanics      2
Multiplet      102
Multiplet of the rotation group      103
Neutral rho meson, decay of      172
Neutrino oscillation      239
Neutron state      141
Neutron wave function      264
Nishijima, Kazuhiko      182
Noether's theorem      8
Noether, Emmy      51
Non-compact Lie group      37
Nonrelativistic two-particle problem      8
Nuclear force      142
Nucleon-antinucleon system      157
Octet representation of SU(3)      312
Okubo — Zweig — Iizuka-rule      384
Omega mesons      242
Open charm      382 389
Orbital angular momentum      45 f.
Orthocharmonium      400
Orthogonal group in three dimensions      37
orthogonal matrices      36
Orthogonality of rows      68
Paracharmonium      400
Parity      288
Parity internal      443
Parity transformation      441
Partition function      354 ff.
Passive execution of symmetry operation      18
Passive rotation      36
Pauli equation      135
Pauli matrices      58
Pauli principle      142
Pauli spin-matrices      187
Pauli spinor      135
Pauli vector operator      48
Permutation group      291 ff.
Permutation group, dimension of      297
Permutation group, irreducible representation of      297
Permutation group, representation of      297
Permutation group, standard form of      297
Photon      42
Pion      144 ff.
Pion production      164
Pion resonance      242
Pion triplet      144
Pion, nucleon scattering      166
Polar hyperbolic coordinates      484
Polar vectors      444
Positronium      383
Potential model      410
Pressure      354
principal quantum number      57
Product representation      244
Projection of angular momentum      5
Proper rotation      37
Proton state      140
Proton wave function      263
Pseudoscalar mesons      232
Pseudoscalar particle      443
Pseudotensor mesons      240
Pseudovector      444
Quantum chromodynamics      385 409
Quantum number      56
Quantum number of antiquark states      255
Quantum number of quark states      255
Quantum number, linear      129
Quark      217 ff.
Quark confinement      220
Quark Gluon Plasma      353
Quark model      220
Quark model, magnetic moments in      284
Quark quartet      378
Quark states, transformation of      220
Racah theorem      102
Racah, Giulio      126
Rank of Lie group      91
Realization of the group E(3)      121
Reduced matrix element      164
Regeneration experiments      238
Regular representation      146
Representation D(p,q)      231
Representation of a Lie algebra      158
Representation of spin-1 operators      59
Representation, irreducible      337
Representation, reducible      336
Representation, reduction of      336
Representations, direct product for      337
Resonance      171
Resonance, properties of      243
Rho mesons      242
Root vectors      417 ff.
Root vectors, graphic representation of      424
Roots, simple      428
Rotation      35
Rotation group      81 ff.
Rotation group O(3)      333
Rotation group SO(3)      128
Rotation matrix      39
Rotation of the state vector      19
Rotation of the wave function      22
Rotation operator      39 ff.
Rotation operator for many-particle states      50
Rotation operator for two-component spinors      48
Rotation sphere      38
Rotation, improper      37
Rotational invariance      11
Runge — Lenz vector      454 460
Running coupling constant      385
Scalar density      46
Scalar mesons      241
Scalar particle      443
Scalar wave fields      46
Scalar wave function      39
Scattering problem      484 ff.
Schroedinger equation      46
Schur's lemma      328 f.
Schur's lemma, first      328
Schur's lemma, second      328
Schur, Issai      132
Semisimple Lie algebra      94
Semisimple Lie group      95 f.
Semisimple unitary Lie group      127
Semisimplicity of Lie algebra, Cartan's criterion of      98
Semisimplicity of SO(3)      98 f.
Shift operator      54 ff.
Simple group      96
Simple Lie algebra      94
Simple Lie groups      95
Simply connected      38
Single-particle problem      8
Single-particle wave functions      70
Singlet      101
SO(2,1)-group      480
SO(3), rotation group      128
SO(4) group      455
SO(n), generators of      116
SO(n), infinitesimal operators of      116
SO(p,q)      477
SO(p,q), generators of      477
Space reflection      442
Space-displacement, invariant systems      21
Space-displacement, symmetric systems      21
Spatial isotropy      51
Spatial rotations      12
Spatial translations      12 19
Spatial translations in quantum mechanics      19
Spatial translations operator      19
Spectrum of operators      55
Spherical basis vectors      62
Spherical harmonics      63
Spherical representation      64
Spherically symmetric field      41
Spin function      60
Spin of the vector field      44
Spin operator      44 ff.
Spin vector      64
Spinor      60
Standard arrangement      296
State      19
Stationary Schrodinger equation      22
Step operator      54 ff.
Strange quark      219
Strangeness      378 383
Strong interaction      159
Structure constants      88
Structure constants for SU(4), tables of      376
Structure constants of SO(3)      84
Structure constants, transformation of      125
SU(1,1)      473
SU(2) group      137
SU(2) transformation      153
SU(2) transformation, infinitesimal      137
SU(3)      108
SU(3) flavour      285
SU(3) group      108
SU(3) Lie algebra, subalgebras of      198
SU(3) mixing      240 ff.
SU(3) multiplet      201 ff.
SU(3) multiplet, centre of      202
SU(3) multiplets of pseudoscalar mesons      381
SU(3) multiplets of vector mesons      381
SU(3) multiplets, construction of      226
SU(3) multiplets, multiplicity of states on the inner shells      205 ff.
SU(3) representations      231
SU(3) symmetry      183
SU(3), fundamental representation of      225
SU(3), generators of      221
SU(3), simplest multiplets of      231
SU(3), singlet representation of      217
SU(3), smallest non-trivial representation      218
SU(4)      365
SU(4) baryon multiplet      393
SU(4) group      367
SU(4) mass formula      406
SU(4) meson multiplets      381
SU(4) multiplets of pseudoscalar mesons      381
SU(4) multiplets of vector mesons      381
SU(4) symmetry      409
SU(4), fundamental representations of      378
SU(4), generators of      365
SU(4), group properties of      365
SU(4), multiplet structure of      378
SU(4), structure constants of      369
SU(5) group      410
SU(6) group      257
SU(6) mass formula in      283
SU(6) multiplets, decomposition of      287
SU(8) mass formula      406
SU(N)      108
SU(n) group      108
SU(n) multiplet, dimension of      316
SU(n) representations, dimensions of      358
SU(n), fundamental representation of      314
SU(n), generators of      185
SU(n), multiplets of      314
SU(n), structure constants of      186
SU(n), subgroups of      320
SU(p,q)      474
Subalgebra      93
Subgroup, discrete invariant      94
Supermultiplets      289
Symmetric group      293
Symmetric state      293
Symmetrization operator      294
Symmetry      32
Symmetry against time displacements      32
Symmetry axis      6
Symmetry groups      127
Symmetry in quantum mechanics      1
Symmetry operation      105
Symmetry properties      8
Symmetry transformation      9
Symmetry, discrete      441
Symmetry, dynamical      453
T-multiplets, coupling of      201
T-quark      412
T-spin      217
T-spin algebra      199
Tensor mesons      242 ff.
Tensor product of two multiplets, decomposition of      322
Time displacements in quantum mechanics      30
Time evolution operator      30
Time independence of the Hamiltonian      32
Time reversal      444
Time reversal operator      444
Time translation      19
Time-dependent potential      11
Top-quark      412
Total angular momentum      5
Total energy      11
Transition from one multiplet to another      129
Translation      18
Translation group      95
Translation group in a homogeneous electric field      27
Translation group of the state vector      18
Translation group operator      19
Translation-rotation group      94
Translational invariance      11 ff.
Translational symmetry      18
Transpose matrix      36
Transposition      291
Triality      325
Triangle rule      69
True quark      412
Two-component spinor      46 f.
Two-particle wave functions      70
U(n)      183
U(n), generators of      185
U(n), Lie algebra of      186
U-multiplets, coupling of      201
U-spin      219
U-spin algebra      199
U-spin invariance      248
U-spin invariance, test of      250
Unit element      33
Unitarity      19
Unitarity group      340
Unitarity group U(N)      340
Unitarity groups, group characters of      347
Unitarity matrix      183
Unitarity operator      46
Unitarity representations      482
Unitarity representations, finite-dimensional irreducible      482
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