Book contents
- Frontmatter
- Contents
- Preface
- 1 The classical electromagnetic field in the absence of sources
- 2 The quantum electromagnetic field in the absence of sources
- 3 The quantum matter field
- 4 Electrodynamics in the presence of sources
- 5 Atoms dressed by a real e.m. field
- 6 Dressing by zero-point fluctuations
- 7 Energy density around dressed atoms
- 8 Further considerations on the nature of dressed states
- Appendix A Multipolar expansion for the vector potential
- Appendix B Electric polarization and magnetization of the Schrödinger field
- Appendix C Rayleigh-Schrödinger perturbation theory
- Appendix D Sum rules for the nonrelativistic hydrogen atom
- Appendix E From Gauss system to SI
- Appendix F Gauge invariance and field interactions
- Appendix G Dressed sources in relativistic QED and in QCD
- Appendix H The energy-momentum tensor and Lagrangian density
- Appendix I The dressed relativistic hydrogen atom
- Appendix J The nonrelativistic Lamb shift in a hydrogenic atom
- Index
6 - Dressing by zero-point fluctuations
Published online by Cambridge University Press: 12 November 2009
- Frontmatter
- Contents
- Preface
- 1 The classical electromagnetic field in the absence of sources
- 2 The quantum electromagnetic field in the absence of sources
- 3 The quantum matter field
- 4 Electrodynamics in the presence of sources
- 5 Atoms dressed by a real e.m. field
- 6 Dressing by zero-point fluctuations
- 7 Energy density around dressed atoms
- 8 Further considerations on the nature of dressed states
- Appendix A Multipolar expansion for the vector potential
- Appendix B Electric polarization and magnetization of the Schrödinger field
- Appendix C Rayleigh-Schrödinger perturbation theory
- Appendix D Sum rules for the nonrelativistic hydrogen atom
- Appendix E From Gauss system to SI
- Appendix F Gauge invariance and field interactions
- Appendix G Dressed sources in relativistic QED and in QCD
- Appendix H The energy-momentum tensor and Lagrangian density
- Appendix I The dressed relativistic hydrogen atom
- Appendix J The nonrelativistic Lamb shift in a hydrogenic atom
- Index
Summary
Introduction. The purpose of Chapter 6 is to discuss from a general point of view the dressing of a source by the vacuum fluctuations of the field coupled to the source. In Section 6.1 we show that in quantum optics, as well as in different branches of physics, virtual quanta of the field are present in the ground state of the source-field system. Three examples are considered: a two-level atom coupled to the vacuum electromagnetic field, a static model of a nucleon coupled to the vacuum meson field and an electron coupled to the optical phonon modes of a semiconductor (Fröhlich polaron). Section 6.2 is dedicated to a qualitative discussion of the physical nature of these virtual quanta and of their spatial distribution around the source. The dressed source is then defined as the bare source together with the virtual quanta surrounding it. This virtual cloud is shown is Section 6.3 to lead to a change of the energy levels of a nonrelativistic free electron interacting with the vacuum electromagnetic field. This kind of self-energy effect can be represented by a mass renormalization of the free electron. Self-energy effects due to the virtual cloud are discussed in Section 6.4 for each of the three examples of dressed sources considered in Section 6.1.
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- Atom-Field Interactions and Dressed Atoms , pp. 159 - 204Publisher: Cambridge University PressPrint publication year: 1995