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Relativistic quantum mechanics : wave equations /

by Greiner, Walter [aut]; Bromley, D. A [aui].
Material type: materialTypeLabelBookPublisher: Berlin ; New York : Springer, c2000Edition: 3. ed.Description: xix, 424 p. : ill. ; 25 cm.ISBN: 3540674578 (softcover).Uniform titles: Relativistische Quantenmechanik. English.Subject(s): Klein-Gordon equation | Dirac equation | Relativistic quantum theory
Contents:
Relativistic Wave Equation for Spin-0 Particles: The Klein-Gordon Equation and Its Applications. The Notation. The Klein-Gordon Equation. The Nonrelativistic Limit. Free Spin-0 Particles. Energy-Momentum Tensor of the Klein-Gordon Field. The Klein-Gordon Equation in Schrodinger Form. Charge Conjugation. Free Spin-0 Particles in the Feshbach-Villars Representation. The Interaction of a Spin-0 Particle with an Electromagnetic Field. Gauge Invariance of the Coupling. The Nonrelativistic Limit with Fields. Interpretation of One-Particle Operators in Relativistic Quantum Mechanics -- A Wave Equation for Spin-1/2 Particles: The Dirac Equation. Free Motion of a Dirac Particle. Single-Particle Interpretation of the Plane (Free) Dirac Waves. Nonrelativistic Limit of the Dirac Equation -- Lorentz Covariance of the Dirac Equation. Formulation of Covariance (Form Invariance).
Construction of the S Operator for Infinitesimal Lorentz Transformations. Finite Proper Lorentz Transformations. The S Operator for Proper Lorentz Transformations. The Four-Current Density -- Spinors Under Spatial Reflection -- Bilinear Covariants of the Dirac Spinors -- Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations. Plane Waves in Arbitrary Directions. The General Form of the Free Solutions and Their Properties. Polarized Electrons in Relativistic Theory -- Projection Operators for Energy and Spin. Simultaneous Projections of Energy and Spin -- Wave Packets of Plane Dirac Waves -- Dirac Particles in External Fields: Examples and Problems -- The Two-Centre Dirac Equation -- The Foldy-Wouthuysen Representation for Free Particles. The Foldy-Wouthuysen Representation in the Presence of External Fields -- The Hole Theory.
Charge Conjugation. Charge Conjugation of Eigenstates with Arbitrary Spin and Momentum. Charge Conjugation of Bound States. Time Reversal and PCT Symmetry -- Klein's Paradox -- The Weyl Equation - The Neutrino -- Wave Equations for Particles with Arbitrary Spins. Particles with Finite Mass. Massless Particles. Spin-1 Fields for Particles with Finite Mass: Proca Equations. Kemmer Equaton. The Maxwell Equations. Spin-3/2 Fields -- Lorentz Invariance and Relativistic Symmetry Principles. Orthogonal Transformations in Four Dimensions. Infinitesimal Transformations and the Proper Subgroup of O(4). Classification of the Subgroups of O(4). The Inhomogeneous Lorentz Group. The Conformal Group. Representations of the Four-Dimensional Orthogonal Group and Its Subgroups. Tensor Representation of the Proper Groups. Spinor Representations.
Representation of SL(2, C). Representations of SO(3, R). Representations of the Lorentz Group L[subscript p]. Spin and the Rotation Group.
List(s) this item appears in: Meccanica Quantistica
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530.12 G8248rqm (Browse shelf) Available

Includes bibliographical references and index.

1. Relativistic Wave Equation for Spin-0 Particles: The Klein-Gordon Equation and Its Applications. 1.1. The Notation. 1.2. The Klein-Gordon Equation. 1.3. The Nonrelativistic Limit. 1.4. Free Spin-0 Particles. 1.5. Energy-Momentum Tensor of the Klein-Gordon Field. 1.6. The Klein-Gordon Equation in Schrodinger Form. 1.7. Charge Conjugation. 1.8. Free Spin-0 Particles in the Feshbach-Villars Representation. 1.9. The Interaction of a Spin-0 Particle with an Electromagnetic Field. 1.10. Gauge Invariance of the Coupling. 1.11. The Nonrelativistic Limit with Fields. 1.12. Interpretation of One-Particle Operators in Relativistic Quantum Mechanics -- 2. A Wave Equation for Spin-1/2 Particles: The Dirac Equation. 2.1. Free Motion of a Dirac Particle. 2.2. Single-Particle Interpretation of the Plane (Free) Dirac Waves. 2.3. Nonrelativistic Limit of the Dirac Equation -- 3. Lorentz Covariance of the Dirac Equation. 3.1. Formulation of Covariance (Form Invariance).

3.2. Construction of the S Operator for Infinitesimal Lorentz Transformations. 3.3. Finite Proper Lorentz Transformations. 3.4. The S Operator for Proper Lorentz Transformations. 3.5. The Four-Current Density -- 4. Spinors Under Spatial Reflection -- 5. Bilinear Covariants of the Dirac Spinors -- 6. Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations. 6.1. Plane Waves in Arbitrary Directions. 6.2. The General Form of the Free Solutions and Their Properties. 6.3. Polarized Electrons in Relativistic Theory -- 7. Projection Operators for Energy and Spin. 7.1. Simultaneous Projections of Energy and Spin -- 8. Wave Packets of Plane Dirac Waves -- 9. Dirac Particles in External Fields: Examples and Problems -- 10. The Two-Centre Dirac Equation -- 11. The Foldy-Wouthuysen Representation for Free Particles. 11.1. The Foldy-Wouthuysen Representation in the Presence of External Fields -- 12. The Hole Theory.

12.1. Charge Conjugation. 12.2. Charge Conjugation of Eigenstates with Arbitrary Spin and Momentum. 12.3. Charge Conjugation of Bound States. 12.4. Time Reversal and PCT Symmetry -- 13. Klein's Paradox -- 14. The Weyl Equation - The Neutrino -- 15. Wave Equations for Particles with Arbitrary Spins. 15.1. Particles with Finite Mass. 15.2. Massless Particles. 15.3. Spin-1 Fields for Particles with Finite Mass: Proca Equations. 15.4. Kemmer Equaton. 15.5. The Maxwell Equations. 15.6. Spin-3/2 Fields -- 16. Lorentz Invariance and Relativistic Symmetry Principles. 16.1. Orthogonal Transformations in Four Dimensions. 16.2. Infinitesimal Transformations and the Proper Subgroup of O(4). 16.3. Classification of the Subgroups of O(4). 16.4. The Inhomogeneous Lorentz Group. 16.5. The Conformal Group. 16.6. Representations of the Four-Dimensional Orthogonal Group and Its Subgroups. 16.6.1. Tensor Representation of the Proper Groups. 16.6.2. Spinor Representations.

16.7. Representation of SL(2, C). 16.8. Representations of SO(3, R). 16.9. Representations of the Lorentz Group L[subscript p]. 16.10. Spin and the Rotation Group.