Dynamics of Charged Particles and their Radiation Field

Herbert Spohn

doi:10.1017/9781009402286

This book provides a self-contained and systematic introduction to classical electron theory and its quantization, non-relativistic quantum electrodynamics. The first half of the book covers the classical theory. It discusses the well-defined Abraham model of extended charges in interaction with the electromagnetic field, and gives a study of the effective dynamics of charges under the condition that, on the scale given by the size of the charge distribution, they are far apart and the applied potentials vary slowly. The second half covers the quantum theory, leading to a coherent presentation of non-relativistic quantum electrodynamics. Topics discussed include non-perturbative properties of the basic Hamiltonian, the structure of resonances, the relaxation to the ground state through emission of photons, the non-perturbative derivation of the g-factor of the electron and the stability of matter. First released in 2004, this title has been reissued as an Open Access publication on Cambridge Core.

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Contents

Frontmatter
pp i-iv
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Dedication
pp v-vi
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Contents
pp vii-x
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Preface
pp xi-xii
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List of symbols
pp xiii-xvi
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1 - Scope, motivation, and orientation
pp 1-4
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Part I - Classical theory
pp 5-6
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2 - A charge coupled to its electromagnetic field
pp 7-32
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3 - Historical notes
pp 33-43
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4 - The energy-momentum relation
pp 44-53
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5 - Long-time asymptotics
pp 54-64
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6 - Adiabatic limit
pp 65-79
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7 - Self-force
pp 80-90
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8 - Comparison dynamics
pp 91-105
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9 - The Lorentz-Dirac equation
pp 106-118
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10 - Spinning charges
pp 119-129
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11 - Many charges
pp 130-144
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12 - Summary and preamble to the quantum theory
pp 145-146
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Part II - Quantum theory
pp 147-148
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13 - Quantizing the Abraham model
pp 149-176
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14 - The statistical mechanics connection
pp 177-199
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15 - States of lowest energy: statics
pp 200-219
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16 - States of lowest energy: dynamics
pp 220-246
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17 - Radiation
pp 247-278
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18 - Relaxation at finite temperatures
pp 279-299
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19 - Behavior at very large and very small distances
pp 300-325
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20 - Many charges, stability of matter
pp 326-338
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References
pp 339-357
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Index
pp 358-360
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Dynamics of Charged Particles and their Radiation Field

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-x

Preface
pp xi-xii

List of symbols
pp xiii-xvi

1 - Scope, motivation, and orientation
pp 1-4

Part I - Classical theory
pp 5-6

2 - A charge coupled to its electromagnetic field
pp 7-32

3 - Historical notes
pp 33-43

4 - The energy-momentum relation
pp 44-53

5 - Long-time asymptotics
pp 54-64

6 - Adiabatic limit
pp 65-79

7 - Self-force
pp 80-90

8 - Comparison dynamics
pp 91-105

9 - The Lorentz-Dirac equation
pp 106-118

10 - Spinning charges
pp 119-129

11 - Many charges
pp 130-144

12 - Summary and preamble to the quantum theory
pp 145-146

Part II - Quantum theory
pp 147-148

13 - Quantizing the Abraham model
pp 149-176

14 - The statistical mechanics connection
pp 177-199

15 - States of lowest energy: statics
pp 200-219

16 - States of lowest energy: dynamics
pp 220-246

17 - Radiation
pp 247-278

18 - Relaxation at finite temperatures
pp 279-299

19 - Behavior at very large and very small distances
pp 300-325

20 - Many charges, stability of matter
pp 326-338

References
pp 339-357

Index
pp 358-360

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Dynamics of Charged Particles and their Radiation Field

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