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Produktbild: The Theory of Photons and Electrons

The Theory of Photons and Electrons The Relativistic Quantum Field Theory of Charged Particles with Spin One-half

Aus der Reihe Theoretical and Mathematical Physics

Fr. 72.90

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

13.12.2011

Verlag

Springer Berlin

Seitenzahl

556

Maße (L/B/H)

23.5/15.5/3.2 cm

Gewicht

919 g

Auflage

Second Edition 1976

Sprache

Englisch

ISBN

978-3-642-80953-8

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

13.12.2011

Verlag

Springer Berlin

Seitenzahl

556

Maße (L/B/H)

23.5/15.5/3.2 cm

Gewicht

919 g

Auflage

Second Edition 1976

Sprache

Englisch

ISBN

978-3-642-80953-8

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: The Theory of Photons and Electrons
  • 1 General Principles.- 1-1 The natural unit system.- 1-2 Some fundamental notions of the special theory of relativity.- 1-3 Some basic notions of quantum mechanics.- 1-4 Localizability.- 1-5 Observables of a field.- 1-6 Canonical transformations.- 1-7 Lorentz transformations as canonical transformations.- 1-8 The action principle.- 1-9 The equation of motion.- 1-10 Momentum operators.- 1-11 Conservation laws.- 1-12 Commutation rules.- 2 the Radiation Field.- 2-1 The classical field equations.- 2-2 The associated boundary value problem.- 2-3 A Lagrangian for the radiation field.- 2-4 Quantization of the radiation field.- 2-5 Momentum operators for the radiation field.- 2-6 Plane wave decomposition of the radiation field.- 2-7 Explicit representations of the field operators.- 2-8 The spin of the photon.- 2-9 Definition of the vacuum.- 3 Relativistic Theory of Free Electrons.- 3-1 The field equations for the one-particle problem.- 3-2 The associated boundary value problem.- 3-3 Relativistic invariance of the field equations.- 3-4 The bilinear covariants.- 3-5 A Lagrangian for the spinor field.- 3-6 Quantization.- 3-7 Momentum operators.- 3-8 Plane wave decomposition.- 3-9 Explicit representation of the field operators.- 3-10 The definition of the vacuum.- 4 Interaction of Radiation with Electrons.- 4-1 The field equations.- 4-2 Commutation rules for the interacting fields.- 4-3 The interaction picture.- 4-4 Measurability of the fields.- 5 Invariance Properties of the Coupled Fields.- 5-1 Proper Lorentz transformations.- 5-2 Gauge transformations.- 5-3 Space inversion.- 5-4 Time inversion.- 5-5 Charge conjugation.- 5-6 Scale transformations.- 6 Subsidiary Condition and Longitudinal Field.- 6-1 The covariant Coulomb interaction.- 6-2 The subsidiary condition and the construction of the state vector.- 6-3 The Gupta method.- 6-4 Gauge-independent interaction.- 6-5 Radiation fields with finite mass.- 7 the S-Matrix.- 7-1 Preliminary definition of the S-matrix.- 7-2 The wave matrix.- 7-3 The wave operator.- 7-4 Integral representation of the wave operator.- 7-5 Definition of the S-matrix.- 7-6 Invariance properties of the S-matrix.- 8 Evaluation of the S-Matrix.- 8-1 The iteration solution.- 8-2 The Feynman-Dyson diagrams.- 8-3 Diagrams in momentum space.- 8-4 Closed loops.- 8-5 The substitution law.- 8-6 Lifetimes and cross sections.- 8-7 Evaluation of the S-matrix in the Heisenberg picture.- 9 the Divergences in the Iteration Solution.- 9-1 Historical background.- 9-2 Classification of divergences.- 9-3 The vacuum fluctuations.- 9-4 The self-energy of the electron.- 9-5 The self-energy of the photon.- 9-6 The vertex part.- 10 Renormalization.- 10-1 The primitive divergences.- 10-2 Irreducible and proper diagrams.- 10-3 Separation of divergences in irreducible parts.- 10-4 Separation of divergences in reducible parts.- 10-5 Mass renormalization.- 10-6 Charge renormalization.- 10-7 Wave function renormalization.- 10-8 Sufficiency proof.- 10-9 Regulators.- 11 the Photon-Electron System.- 11-1 Compton scattering.- 11-2 Double Compton scattering.- 11-3 Radiative corrections to Compton scattering.- 11-4 Pair production in photon-electron collisions.- 12 the Electron-Electron System.- 12-1 Møller scattering.- 12-2 Bhabha scattering.- 12-3 Bremsstrahlung in electron-electron collisions.- 12-4 Annihilation of free negaton-positon pairs.- 12-5 Positronium; selection rules.- 12-6 Positronium annihilation.- 13 the Photon-Photon System.- 13-1 Photon-photon scattering as part of a diagram.- 13-2 Photon-photon scattering cross sections.- 13-3 Pair production in photon-photon collision.- 14 Theory of the External Field.- 14-1 The external field approximation.- 14-2 The bound interaction picture.- 14-3 Commutation rules.- 14-4 The electron propagation function.- 14-5 The S-matrix in the external field approximation.- 14-6 Renormalization.- 14-7 Cross sections and energy levels.- 15 External Field Problems.- 15-1 Coulomb scattering.- 15-2 Radiative corrections to Coulomb scattering.- 15-3 The magnetic moment of the election.- 15-4 Energy levels in hydrogen-like atoms.- 15-5 Radiative transitions between bound states.- 15-6 Bremsstrahlung.- 15-7 Pair production and annihilation.- 15-8 Delbrück and Rayleigh scattering.- 16 Special Problems.- 16-1 The infrared divergences.- 16-2 Radiation damping in collision processes.- 16-3 The natural line width of stationary states.- 16-4 The self-stress of the electron.- 16-5 Outlook.- Mathematical Appendix.- Appendix A1 the Invariant Functions.- A1-1 The homogeneous delta-functions.- A1-2 The inhomogeneous delta-functions.- A1-3 Relations between the ?-functions.- A1-4 Integral representations.- A1-5 Explicit expressions.- A1-6 The S-functions.- Appendix A2 the Gamma-Matrices.- A2-1 Various representations.- A2-3 The amplitudes of the plane wave solutions.- A2-5 Spin sums.- A2-6 Polarization sums.- Appendix A3 a Theorem on the Representation of the Extended.- Lorentz Group by Irreducible Tensors.- Appendix A4 the Ordering Theorem.- A4-1 The ordering theorem for commuting fields.- A4-2 The ordering theorem for anticommuting fields.- A4-3 A generalization of the ordering theorem.- A4-4 The ordering of chronological products.- Appendix A5 on the Evaluation of Certain Integrals.- A5-1 Convergent integrals.- A5-2 Divergent integrals.- A5-3 The integral for the photon self-energy part.- A5-4 The integral for the electron self-energy part.- Appendix A6 a Limiting Relation for the ?-function.- Appendix A7 the Method of Analytic Continuation.- A7-1 The Bohr-Peierls-Placzek relation.- A7-2 The principle of limiting distance.- A7-3 The fundamental theorem on analytic continuation.- A7-4 Applications.- Appendix A8 Notation.- Supplement for the Second Edition.- Supplement S1 Formulations of Quantum Electrodynamics.- S1-1 Lagrangian QFT.- S1-2 Axiomatic QFT.- S1-3 Locality, covariance, and indefinite metric.- S1-4 Lehmann-Symanzik-Zimmermann and related formalisms.- S1-5 Null plane QED.- References.- Supplement S2 Renormalization.- S2-1 Dyson-Salam-Ward renormalization.- S2-2 Bogoüubov-Parasiuk-Hepp-Zimmermann renormalization.- S2-3 Analytic renormalization.- References.- Supplement S3 Coherent States.- S3-1 A finite number of degrees of freedom.- S3-2 Coherent states of the radiation field.- S3-3 Application to ordering theorems.- References.- Supplement S4 Infrared Divergences.- S4-1 Dollard’s discovery.- S4-2 A new picture.- S4-3 The asymptotically modified fields.- References.- Supplement S5 Predictions and Precision Experiments.- S5-1 The anomalous magnetic moment.- S5-2 The hyperfine structure of the hydrogen ground state.- S5-3 The Lamb-Retherford shift in hydrogen.- S5-4 Energy levels in positronium.- S5-5 Muonium hyperfine structure.- References.- Author Index.