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1. Relativistic Wave Equation for Spin-0 Particles: The Klein-Gordon Equation and Its Applications |
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1 | (98) |
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2 | (2) |
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1.2 The Klein-Gordon Equation |
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4 | (3) |
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1.3 The Nonrelativistic Limit |
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7 | (1) |
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1.4 Free Spin-0 Particles |
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8 | (4) |
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1.5 Energy-Momentum Tensor of the Klein-Gordon Field |
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12 | (9) |
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1.6 The Klein-Gordon Equation in Schrodinger Form |
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21 | (5) |
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26 | (5) |
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1.8 Free Spin-0 Particles in the Feshbach-Villars Representation |
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31 | (10) |
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1.9 The Interaction of a Spin-0 Particle with an Electromagnetic Field |
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41 | (8) |
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1.10 Gauge Invariance of the Coupling |
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49 | (1) |
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1.11 The Nonrelativistic Limit with Fields |
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50 | (18) |
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1.12 Interpretation of One-Particle Operators in Relativistic Quantum Mechanics |
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68 | (29) |
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97 | (2) |
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2. A Wave Equation for Spin-(1 2) Particles: The Dirac Equation |
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99 | (28) |
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2.1 Free Motion of a Dirac Particle |
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107 | (4) |
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2.2 Single-Particle Interpretation of the Plane (Free) Dirac Waves |
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111 | (9) |
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2.3 Nonrelativistic Limit of the Dirac Equation |
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120 | (6) |
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126 | (1) |
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3. Lorentz Covariance of the Dirac Equation |
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127 | (22) |
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3.1 Formulation of Covariance (Form Invariance) |
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130 | (10) |
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3.2 Construction of the XXX Operator for Infinitesimal Lorentz Transformations |
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140 | (3) |
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3.3 Finite Proper Lorentz Transformations |
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143 | (1) |
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3.4 The S Operator for Proper Lorentz Transformations |
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144 | (3) |
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3.5 The Four-Current Density |
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147 | (1) |
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148 | (1) |
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4. Spinors Under Spatial Reflection |
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149 | (2) |
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5. Bilinear Covariants of the Dirac Spinors |
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151 | (6) |
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156 | (1) |
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6. Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations |
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157 | (20) |
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6.1 Plane Waves in Arbitrary Directions |
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161 | (4) |
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6.2 The General Form of the Free Solutions and Their Properties |
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165 | (9) |
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6.3 Polarized Electrons in Relativistic Theory |
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174 | (5) |
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7. Projection Operators for Energy and Spin |
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177 | (6) |
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7.1 Simultaneous Projections of Energy and Spin |
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181 | (2) |
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8. Wave Packets of Plane Dirac Waves |
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183 | (14) |
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9. Dirac Particles in External Fields: Examples and Problems |
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197 | (64) |
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10. The Two-Centre Dirac Equation |
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261 | (16) |
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11. The Foldy-Wouthuysen Representation for Free Particles |
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277 | (14) |
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11.1 The Foldy-Wouthuysen Representation in the Presence of External Fields |
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285 | (6) |
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291 | (34) |
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299 | (10) |
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12.2 Charge Conjugation of Eigenstates with Arbitrary Spin and Momentum |
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309 | (1) |
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12.3 Charge Conjugation of Bound States |
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310 | (2) |
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12.4 Time Reversal and PCT Symmetry |
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312 | (11) |
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323 | (2) |
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325 | (8) |
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14. The Weyl Equation - The Neutrino |
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333 | (14) |
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15. Wave Equations for Particles with Arbitrary Spins |
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347 | (42) |
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15.1 Particles with Finite Mass |
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347 | (8) |
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355 | (4) |
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15.3 Spin-1 Fields for Particles with Finite Mass: Proca Equations |
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359 | (2) |
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361 | (3) |
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15.5 The Maxwell Equations |
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364 | (19) |
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383 | (5) |
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388 | (1) |
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16. Lorentz Invariance and Relativistic Symmetry Principles |
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389 | (28) |
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16.1 Orthogonal Transformations in Four Dimensions |
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389 | (1) |
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16.2 Infinitesimal Transformations and the Proper Subgroup of O(4) |
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390 | (6) |
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16.3 Classification of the Subgroups of O(4) |
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396 | (2) |
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16.4 The Inhomogeneous Lorentz Group |
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398 | (2) |
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400 | (6) |
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16.6 Representations of the Four-Dimensional Orthogonal Group and Its Subgroups |
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402 | (4) |
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16.6.1 Tensor Representation of the Proper Groups |
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402 | (1) |
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16.6.2 Spinor Representations |
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403 | (3) |
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16.7 Representation of SL(2, C) |
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406 | (1) |
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16.8 Representations of SO(3, R) |
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407 | (1) |
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16.9 Representations of the Lorentz Group L(p) |
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408 | (2) |
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16.10 Spin and the Rotation Group |
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410 | (5) |
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415 | (2) |
| Subject Index |
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417 | |
Lisainfo e-raamatute kohta