ELECTRON AND THE LAMB SHIFT, THE

This book presents a detailed analytical description of the derivation of the Lamb shift in the Hydrogen atom using quantum field theory. This shift in energy levels, relative to what is predicted in traditional particle physics theory, is due to the phenomena of vacuum fluctuations and vacuum polarization which are accounted for in the quantum field theory as applied in particle physics. The derivation reported is done using perturbation theory and extends up to 4th order. This derivation has been carried out to higher orders by scientists all over the world throughout several decades and agrees exceptionally well with experimental data demonstrating the physical reality of vacuum fluctuations. This book also includes a historical overview of the understanding of the atom and its interaction with electromagnetic radiation as it was in the first half of the 20th century, when the calculation of the Lamb shift was first attempted.

Contents:

• Preface
• Introduction
• Historical Background
• Quantization of the Radiation Field
• Vacuum Polarization
• Bethe's Theory — Non-Relativistic Part
• Vertex Correction
• Infrared Difficulty
• Energy Due to Vertex Correction
• Fourth Order Terms
• Conclusion
• Appendices:
  • Matrix Relations
  • Derivations
  • Integrals
  • Expectation Values
  • Extra Computations
• References

Readership: Researchers and advanced undergraduates studying particle physics, atomic physics and quantum field theory.

Key Features:

• Analytical Derivation of the Lamb Shift: This book provides a comprehensive analytical derivation of the Lamb shift, a phenomenon crucial in understanding the fine structure of hydrogen atoms. Readers will gain deep insights into this intricate aspect of quantum field theory
• Clear and Accessible Presentation: Complex theoretical concepts are presented in a clear and accessible manner, making it suitable for both beginners and advanced readers in the field. The book employs a step-by-step approach
• Valuable Contribution to the Field: The book offers a fresh perspective by providing the analytical derivation of the Lamb shift in a single publication, filling a gap in existing literature
• Historical Background: The book presents the historical background in the context of which the derivation of the value of the Lamb Shift has been made