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Visconti A. Ч Quantum field theory. Volume 1
Visconti A. Ч Quantum field theory. Volume 1

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Ќазвание: Quantum field theory. Volume 1

јвтор: Visconti A.

язык: en

–убрика: ‘изика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1969

 оличество страниц: 309

ƒобавлена в каталог: 01.11.2010

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Adjoint of field variables      147 150 174Ч177
Adjoint operator for Maxwell field      263Ч264
Annihilation operators      see "Creation and annihilation operators"
Arbitrary spin fields, anticommutation rules of      188
Arbitrary spin fields, charge conjugation of      201Ч206
Arbitrary spin fields, commutation rules of      185Ч187 192Ч193
Arbitrary spin fields, drawbacks of Hamiltonian formalism in      184Ч187
Arbitrary spin fields, energy momentum tensor of      200
Arbitrary spin fields, observables of      189Ч192 199Ч201
Arbitrary spin fields, reduced operators of      189Ч192
Arbitrary spin fields, sets of eigenvectors of observables of      194Ч195
Arbitrary spin fields, space symmetry of      206Ч207
Arbitrary spin fields, time reversal of      207Ч213
Arbitrary spin fields, total charge operator of      204Ч206
Arbitrary spin fields, variance of expectation values in      204Ч206
Arbitrary spin fields, wave equation of      189
Bargman Ч Wigner method      130 135Ч139
Bohr's correspondence principle      24
Bose Ч Einstein statistics      192Ч193
Boson fields      84 133Ч136 197 203
Breuler's theory for indefinite norm      262
Canonical formalization of quantum field theory      79Ч86
Canonical systems, classical equivalents of      57Ч73
Canonical systems, definition and properties of      51Ч57
Canonical systems, field equations in      53
Canonical systems, space-time translation operator in      52 53 69Ч70
Canonical transformations and Lorentz transformation of wave equation      148
Canonical transformations and parity of field      114Ч115
Canonical transformations and time reversal      212
Canonical transformations on linear spaces      17Ч19
Canonical transformations, charge conjugation of      91 120Ч121
Canonical transformations, Foldy Ч Wouthuysen transformation of      233Ч234
Canonical transformations, general principles of      73Ч74
Canonical transformations, generated by unitary operator      75
Canonical transformations, Heisenberg picture for      74Ч75
Canonical transformations, Schroedinger picture for      77Ч79
Causality principle      43
Charge conjugation and Lorentz group      206
Charge conjugation for Dirac equation      229Ч230 242Ч244
Charge conjugation of arbitrary spin fields      201Ч206
Charge conjugation, determination of commutation by      203Ч204
Charge conjugation, transformation      91 120Ч121
Charge parity operator      204
Classification of elementary particles      133Ч135
Clebsch Ч Gordan theorem      143 152
Compton wavelength      9Ч11
Contravariant spinor      223
Creation and annihilation operators      121Ч127
Creation and annihilation operators and Lorentz transformation      121Ч122
Creation and annihilation operators for fields of arbitrary spin      191Ч192
Creation and annihilation operators for Maxwell field      256Ч258
Creation and annihilation operators for non-Hermitian scalar field      179
Creation and annihilation operators of Dirac field      239Ч244
Creation and annihilation operators of Hermitian scalar field      193
Creation and annihilation operators, construction of representation of      195Ч199
Creation and annihilation operators, effect on eigenvalue of      121
de Broglie fusion method      130 151Ч158
de Broglie fusion method, basic idea of      151
de Broglie Ч Proca equations      154
Dirac equation, non-quantized and Lorentz invariance      217Ч219
Dirac equation, non-quantized, algebra of Dirac matrices of      214Ч217
Dirac equation, non-quantized, charge conjugation for      229Ч230
Dirac equation, non-quantized, Feynman notation for      228Ч229
Dirac equation, non-quantized, Foldy Ч Wouthuysen transformation in      233Ч234
Dirac equation, non-quantized, Majorana spinors of      230
Dirac equation, non-quantized, monochromatic plane wave solution of      223Ч228
Dirac equation, non-quantized, Pauli matrices for      220
Dirac equation, non-quantized, representation of matrices of      220Ч223
Dirac equation, non-quantized, spin operator of      217 224
Dirac equation, non-quantized, standard representation for      222 225
Dirac equation, non-quantized, summations over spins and energies in      231Ч233
Dirac equation, non-quantized, transformation laws of tensor expressions of      219Ч220
Dirac equation, quantization of, anticommutation rules of      236Ч238
Dirac equation, quantization of, charge conjugation of      242Ч244
Dirac equation, quantization of, creation and annihilation operators of      239Ч244
Dirac equation, quantization of, Dirac field observables of      238Ч239
Dirac equation, quantization of, elementary solutions of      234Ч236
Dirac equation, quantization of, fermion propagator of      245
Dirac equation, quantization of, Foldy Ч Wouthuysen transformation in      241
Dirac equation, quantization of, Hamiltonian for      236Ч238
Dirac equation, quantization of, non-conservation of parity in      245Ч247
Dirac equation, quantization of, particle properties of      239Ч244
Dirac equation, quantization of, solution by evolution wave operator of      237
Dirac equation, quantization of, spinor in      242Ч243
Dirac equation, quantization of, vacuum expectation values of      244Ч245
Dirac field, application of observables to      201
Dirac field, behaviour under space symmetry of      242Ч248
Dirac field, conjugation matrix for      204
Dirac field, invariance of      92 150
Dirac field, investigation of non-quantized Dirac equation in      214Ч234
Dirac field, investigation of quantized Dirac equation in      234Ч247
Dirac field, observables of      238Ч239
Dirac function      15
Dirac function with one-dimensional argument      28
Dirac Hamiltonian in wave mechanics      224
Dirac Hamiltonian in wave mechanics, diagonalization of      233Ч234
Dirac spinors as degenerate eigenvectors      228
Dirac spinors, orthonormal system of      227Ч228
Duffin Ч Petiau Ч Kemmer relation      145 278Ч281
Einstein's formula      9
Euler's constant      170
Evolution operator and canonical pictures      75
Evolution operator of field variables      51
Evolution operator of state vector      46
Evolution operator, properties of      47 52
Evolution operator, theorems on      52Ч53
Fermi condition for Maxwell field      255 259Ч262
Fermi Ч Dirac statistics      192Ч193
Fermion fields      84 195 203
Feynman notation for Dirac equation      228Ч229
Field equations for quantum-classical theory      64Ч67
Field equations, differential operator of      142Ч146
Field equations, differential operator of, anticommutation rules by      188
Field equations, differential operator of, commutation rules by      185Ч187
Field equations, differential operator of, elementary solution of      189
Field equations, Hamiltonian form of      58Ч63
Field observables      see "Observables"
Field variables      42
Field variables and displacement of time-space points      84Ч86
Field variables and Hamiltonian density      88Ч90
Field variables and one-particle states      129
Field variables as complete ring of operators      80Ч82
Field variables as operators      113Ч115
Field variables of non-Hermitian fields      174Ч181
Field variables of non-Hermitian fields in terms of reduced operators      178
Field variables of scalar field      172
Field variables, application of variation principle on      79Ч88
Field variables, commutation rules by change of      185Ч187
Field variables, commutation rules for various times of      70Ч72
Field variables, commutation rules in Proca Ч de Broglie field of      272
Field variables, evolution of      51Ч54
Field variables, Hamiltonian form of field equations of      58Ч63
Field variables, local commutativity of      56Ч57
Field variables, mathematical definition of      54Ч55
Field variables, microcausality of      56Ч57
Field variables, non-Hermitian operators of      72Ч73
Field variables, Peierls relation for commutator of      90
Field variables, space-time translation operator of      52 53 69Ч70
Field variables, vacuum expectation values of      172Ч174 181
Fields and quantum description      41Ч45
Fields of arbitrary spin      see "Arbitrary spin fields"
Fields of spin 0      see "Spin 0 fields"
Fields, investigation of electro-magnetic      41Ч42
Fields, local      41Ч42
Foldy Ч Wouthuysen transformation      233Ч234 241
Fourier transformation and creation and annihilation operators      124Ч125
Fourier transformation for one-dimensional variable      28
Fourier transformation of convolution product      29
Fourier transformation on wave equation      148
Free fields      xiv 81
Free fields, one-particle state in      129
Free photon field      see "Maxwell field"
Functional analysis, basic notations of      32Ч39
Functional analysis, calculus of variations of      37Ч39
Functional of a functional      36Ч37
Functional of space-like surfaces      35Ч36
Functional, definition of derivative of      33
Functional, derivative of linear      34
Functional, Gauss's theorem for      35
Functional, Green's theorem for      36
Functional, Taylor formula for      35
Gauge group      115Ч127
Gauge group, definition of total charge by      115Ч118
Gauge transformation of Maxwell equations      252Ч253
Gauss's theorem      35 83
Green functions      161 235
Green's theorem      36 61
Gupta's theory for indefinite norm      262
Heisenberg picture      xv 25 26Ч27 43 44
Heisenberg picture for canonical transformation      74Ч77
Heisenberg picture for Maxwell field      255
Heisenberg picture, Hamiltonian density in      76Ч77
Heisenberg picture, Hamiltonian equations for      27
Heisenberg picture, observables in      91
Heisenberg picture, particle with spin 0 in      112Ч113
Heisenberg picture, state vector in      43 46
Heisenberg Ч Pauli quantization method      xiii 57
Helicity by Stokes parameters      224
Hilbert space      16 20 24 25 32 41 42 46 50
Interacting fields      xv 159
Interacting fields, wave equations of      159
Interaction picture      xvi
Invariance of Maxwell equations      92
Invariance of quantum field theory      92Ч94
Invariance of wave equations      139Ч142
Jacobi identity      19
Kemmer Ч Petiau Ч Duffin relation      145 278Ч281
Klein Ч Gordon equation      129
Klein Ч Gordon equation, probability density in      156
Law of force in special relativity      8
Lie algebra      19
Lie equations for field observables      99
Lie formula      97
Lie formula for representation of Lorentz group      99
Lienart and Wiechert formulae      249
Linear field equations with constant coefficients      159Ч213
Linear field equations with constant coefficients for arbitrary spin fields      see "Arbitrary spin fields"
Linear field equations with constant coefficients for scalar and pseudo-scalar fields      see "Scalar and pseudo-scalar fields"
Linear wave equations      128Ч158
Linear wave equations and action      146
Linear wave equations and Lorentz group      135Ч150
Linear wave equations for particle of spin S/2      151Ч153
Linear wave equations under Fourier transformation      148
Linear wave equations, adjoint of      147 150
Linear wave equations, expectation value of energy of      157Ч158
Linear wave equations, field equation of      142
Linear wave equations, general data on      135
Linear wave equations, Hermitian character of      146Ч150
Linear wave equations, norm of      157Ч158
Linear wave equations, probability density of      156Ч157
Linear wave equations, quantization of      see "Quantization of linear wave equations with constant coefficients"
Linear wave equations, reduction postulate for      130 142Ч146
Linear wave equations, relativistic invariance of      139Ч141
Linear wave equations, tensor components of spin fields      153Ч155
Linear wave equations, theorem on spin and      144
Local fields      41Ч42
Lorentz group      1Ч6 91 115
Lorentz group and charge conjugation      206
Lorentz group and Dirac equation      218Ч219
Lorentz group and Lie formula      99
Lorentz group and particles      129 135Ч139
Lorentz group and wave equations      135Ч150
Lorentz group, four classes of      3
Lorentz group, generation by special group of      3
Lorentz group, group representation of      95 128Ч129
Lorentz group, irreducible representation of      128 135Ч137
Lorentz group, multiplication law of      94Ч95
Lorentz group, unitary representation of      97
Lorentz invariance      92
Lorentz invariance and non-quantized Dirac equation      217Ч219
Lorentz invariance for particles with spin 0      168
Lorentz invariance of a theory      93
Lorentz transformation and canonical transformation      149
Lorentz transformation and invariance of wave equation      139Ч140 148
Lorentz transformation for particles with spin 0      165
Lorentz transformation on components of spinor      152
Lorentz transformation, "light cone" of      4
Lorentz transformation, antichronous subgroup of      3
Lorentz transformation, condition for      2
Lorentz transformation, creation and annihilation operators and      121Ч122
Lorentz transformation, effect on scalars of      5
Lorentz transformation, effect on space-like surfaces of      6
Lorentz transformation, effect on wave function of      95Ч97
Lorentz transformation, homogeneous      95Ч96 97
Lorentz transformation, homogeneous, variance of variables under      95
Lorentz transformation, inhomogeneous      94Ч101
Lorentz transformation, inhomogeneous, definition of      94
Lorentz transformation, inhomogeneous, effect on quantized field of      103Ч106
Lorentz transformation, Lie equation for representation of      99
Lorentz transformation, orthochronous subgroup of      3
Lorentz transformation, parity and invariance under      113Ч115
Majorana spinors      230
Matrix mechanics      see "Quantum mechanics"
Maximal measurement of observables      25
Maximal measurement of spin of particle      150
Maxwell equations, description of electric field by      248
Maxwell equations, elementary solution of      254
Maxwell equations, four-dimensional formulation of      250Ч251
Maxwell equations, Gauge transformation on      252Ч253
Maxwell equations, three-vector formulation of      250Ч251
Maxwell field      247Ч270
Maxwell field, classical Maxwell equation in      248Ч252
Maxwell field, commutation rules of      256
Maxwell field, continuity equation of      248
Maxwell field, creation and annihilation operators on      256Ч258
Maxwell field, Fermi condition for      255 259Ч262 265 266
Maxwell field, Heisenberg picture of      255
Maxwell field, Hermitian operator for      263Ч264
Maxwell field, Lagrangian formalism and quantization of      254Ч258
Maxwell field, longitudinal and scalar photons in      258 259Ч261 266Ч267
Maxwell field, measurement of electric and magnetic fields of      270
Maxwell field, metric operator for      262
Maxwell field, observables of electro-magnetic fields of      267Ч269
Maxwell field, quantization in indefinite metric      262Ч267
Natural unit system      8Ч12
Natural unit system, conversion table to C.G.S. system      11
Natural unit system, simplification of formulae in      10
Non-local field observables      see "Observables"
Notation      xxi
Notation, concerning linear spaces      12Ч22
Observables      xiii 40 46
Observables and causality principle      43
Observables and invariance of wave equation      142
Observables as constants of motion      74
Observables of arbitrary spin fields      189Ч192
Observables of Dirac field      238Ч239
Observables of electro-magnetic field      267Ч269
Observables of field      199Ч201
Observables of field of wave equation      149
Observables of Proca Ч de Broglie field      273
Observables of scalar fields      171Ч174
Observables, eigenvalue of      43
Observables, expectation values of      44 73Ч74
Observables, non-local field and parity      113Ч115
Observables, non-local field under Lorentz transformation      94Ч101
Observables, non-local field with invariant action      103Ч109
Observables, non-local field, definition of      91
Observables, non-local field, eigenvalue of      121Ч127
Observables, non-local field, eigenvectors of      118Ч120
Observables, non-local field, Lie equations for      99
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