Selected Topics in Field Quantization Volume 6 of Pauli Lectures on Physics

by Pauli, Wolfgang

• ISBN13: 9780486414591
• ISBN10: 0486414590
• Edition: Unabridged
• Format: Paperback
• Copyright: 2010-10-18
• Publisher: Dover Publications

Summary

Comprehensive, clearly presented work considers such subjects as quantization of the electron-positron field, response to an external field, quantization of free field, quantum electrodynamics, interacting fields, Heisenberg representation, the S-matrix, and Feynman's approach to quantum electrodynamics. An excellent resource for individuals as well as libraries and other institutions.

Table of Contents

Foreword	vii
Victor F. Weisskopf
Preface by the Editor	ix
Quantization of the Electron-Positron Field	1	(21)
The Heisenberg and interaction representations	1	(1)
Quantization of the harmonic oscillator	2	(2)
Second quantization for spin-1/2 particles	4	(5)
Sign of the energy; hole theory	9	(3)
Construction of the invariant functions	12	(6)
Charge-conjugated quantities	18	(4)
Response to an External Field: Charge Renormalization	22	(31)
Vacuum expectation values of expressions bilinear in the current	22	(7)
Vacuum polarization in an external field	29	(1)
Particles with zero spin	30	(8)
Evaluation of the Kernals K and L	38	(4)
The ``causal'' kernels Kcμv and Lcμv	42	(9)
Impossibility of canceling the self-charge	51	(2)
Quantization of Free Fields: Spin 0 and 1/2, Quantum Electrodynamics	53	(29)
The invariant functions	53	(6)
Quantization of force-free, uncharged, spin-0 fields	59	(3)
Quantum electrodynamics in vacuum	62	(14)
Quantum electrodynamics in canonical notation	76	(2)
Various representations	78	(1)
Theory of positrons (spin-1/2 particles)	79	(3)
Interacting Fields: Interaction Representation and S-Matrix	82	(24)
Electrons interacting with the electromagnetic field	82	(1)
Charged particles with zero spin	83	(4)
The interaction representation	87	(6)
Dyson's integration method	93	(6)
The P* product for spin-zero	99	(7)
Heisenberg Representation: S-Matrix and Charge Renormalization	106	(20)
The S-matrix and the Heisenberg representation	106	(8)
Renormalized fields in the Heisenberg representation	114	(12)
The S-Matrix: Applications	126	(35)
The relation between the S-matrix and the cross-section	126	(3)
An application of the Dyson formalism: M&thetas;ller scattering	129	(3)
Discussion of the Dc function	132	(5)
The electron self-energy in an external homogeneous electromagnetic field	137	(24)
Feynman's Approach to Quantum Electrodynamics	161	(14)
The path integral method	161	(14)
Supplementary Bibliography	175	(2)
Appendix. Comments by the Editor	177	(6)
Index	183