Theory of light hydrogenic bound states /

Theory of light hydrogenic bound states /

Saved in:
Bibliographic Details
Author / Creator:Eides, Michael I.
Imprint:Berlin ; New York : Springer, c2007.
Description:xvi, 260 p. : ill. ; 24 cm.
Language:English
Series:Springer tracts in modern physics, 0081-3869 ; v. 222
Subject:
Bound states (Quantum mechanics)
Energy levels (Quantum mechanics)
Bound states (Quantum mechanics)
Energy levels (Quantum mechanics)
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/6163445
Hidden Bibliographic Details
Other authors / contributors:Grotch, Howard.
Shelyuto, Valery A.
ISBN:9783540452690 (hd.bd.)
3540452699 (hd.bd.)
Notes:Includes bibliographical references and index.
Standard no.:9783540452690
Table of Contents:
  • 1. Theoretical Approaches to the Energy Levels of Loosely Bound Systems
  • 1.1. Nonrelativistic Electron in the Coulomb Field
  • 1.2. Dirac Electron in the Coulomb Field
  • 1.3. Bethe-Salpeter Equation and the Effective Dirac Equation
  • 1.4. Nonrelativistic Quantum Electrodynamics
  • References
  • 2. General Features of the Hydrogen Energy Levels
  • 2.1. Classification of Corrections
  • 2.2. Physical Origin of the Lamb Shift
  • 2.3. Natural Magnitudes of Corrections to the Lamb Shift
  • References
  • 3. External Field Approximation
  • 3.1. Leading Relativistic Corrections with Exact Mass Dependence
  • 3.2. Radiative Corrections of Order [alpha superscript n](Z[alpha])[superscript 4]m
  • 3.2.1. Leading Contribution to the Lamb Shift
  • 3.2.2. Radiative Corrections of Order [alpha superscript 2](Z[alpha])[superscript 4]m
  • 3.2.3. Corrections of Order [alpha superscript 3](Z[alpha])[superscript 4]m
  • 3.2.4. Total Correction of Order [alpha superscript n](Z[alpha])[superscript 4]m
  • 3.2.5. Heavy Particle Polarization Contributions of Order [alpha](Z[alpha])[superscript 4]m
  • 3.3. Radiative Corrections of Order [alpha superscript n](Z[alpha])[superscript 5]m
  • 3.3.1. Skeleton Integral Approach to Calculations of Radiative Corrections
  • 3.3.2. Radiative Corrections of Order [alpha](Z[alpha])[superscript 5]m
  • 3.3.3. Corrections of Order [alpha superscript 2](Z[alpha])[superscript 5]m
  • 3.3.4. Corrections of Order [alpha superscript 3](Z[alpha])[superscript 5]m
  • 3.4. Radiative Corrections of Order [alpha superscript n](Z[alpha])[superscript 6]m
  • 3.4.1. Radiative Corrections of Order [alpha](Z[alpha])[superscript 6]m
  • 3.4.2. Corrections of Order [alpha superscript 2](Z[alpha])[superscript 6]m
  • 3.5. Radiative Corrections of Order [alpha](Z[alpha])[superscript 7]m and of Higher Orders
  • 3.5.1. Corrections Induced by the Radiative Insertions in the Electron Line
  • 3.5.2. Corrections Induced by the Radiative Insertions in the Coulomb Lines
  • 3.5.3. Corrections of Order [alpha superscript 2](Z[alpha])[superscript 7]m
  • References
  • 4. Essentially Two-Particle Recoil Corrections
  • 4.1. Recoil Corrections of Order (Z[alpha])[superscript 5](m/M)m
  • 4.1.1. Coulomb-Coulomb Term
  • 4.1.2. Transverse-Transverse Term
  • 4.1.3. Transverse-Coulomb Term
  • 4.2. Recoil Corrections of Order (Z[alpha])[superscript 6](m/M)m
  • 4.2.1. The Braun Formula
  • 4.2.2. Lower Order Recoil Corrections and the Braun Formula
  • 4.2.3. Recoil Correction of Order (Z[alpha])[superscript 6](m/M)[superscript n]m to the S Levels
  • 4.2.4. Higher Order in Mass Ratio Recoil Correction of Order (Z[alpha])[superscript 6](m/M)m to the S Levels
  • 4.2.5. Recoil Correction of Order (Z[alpha])[superscript 7](m/M) to the Non-S Levels
  • 4.3. Recoil Correction of Order (Z[alpha])[superscript 6](m/M)m
  • References
  • 5. Radiative-Recoil Corrections
  • 5.1. Corrections of Order [alpha](Z[alpha])[superscript 6](m/M)m
  • 5.1.1. Corrections Generated by the Radiative Insertions in the Electron Line
  • 5.1.2. Corrections Generated by the Polarization Insertions in the Photon Lines
  • 5.1.3. Corrections Generated by the Radiative Insertions in the Proton Line
  • 5.2. Corrections of Order [alpha](Z[alpha])[superscript 5](m/M)m
  • References
  • 6. Nuclear Size and Structure Corrections
  • 6.1. Main Proton Size Contribution
  • 6.1.1. Spin One-Half Nuclei
  • 6.1.2. Nuclei with Other Spins
  • 6.1.3. Empirical Nuclear Form Factor and the Contributions to the Lamb Shift
  • 6.2. Nuclear Size and Structure Corrections of Order (Z[alpha])[superscript 5]m
  • 6.2.1. Nuclear Size Corrections of Order (Z[alpha])[superscript 5]m
  • 6.2.2. Nuclear Polarizability Contribution of Order (Z[alpha])[superscript 5]m to S-Levels
  • 6.3. Nuclear Size and Structure Corrections of Order (Z[alpha])[superscript 6]m
  • 6.3.1. Nuclear Polarizability Contribution to P-Levels
  • 6.3.2. Nuclear Size Correction of Order (Z[alpha])[superscript 6]m
  • 6.4. Radiative Corrections to the Finite Size Effect
  • 6.4.1. Radiative Correction of Order [alpha](Z[alpha])[superscript 5]m[Greather than]r[superscript 2 Greather than][Character not reproducible] to the Finite Size Effect
  • 6.4.2. Higher Order Radiative Corrections to the Finite Size Effect
  • 6.5. Weak Interaction Contribution
  • References
  • 7. Lamb Shift in Light Muonic Atoms
  • 7.1. Closed Electron-Loop Contributions of Order [alpha superscript n](Z[alpha])[superscript 2]m
  • 7.1.1. Diagrams with One External Coulomb Line
  • 7.1.2. Diagrams with Two External Coulomb Lines
  • 7.2. Relativistic Corrections to the Leading Polarization Contribution with Exact Mass Dependence
  • 7.3. Higher Order Electron-Loop Polarization Contributions
  • 7.3.1. Wichmann-Kroll Electron-Loop Contribution of Order [alpha](Z[alpha])[superscript 4]m
  • 7.3.2. Light by Light Electron-Loop Contribution of Order [alpha superscript 2](Z[alpha])[superscript 3]m
  • 7.3.3. Diagrams with Radiative Photon and Electron-Loop Polarization Insertion in the Coulomb Photon. Contribution of Order [alpha superscript 2](Z[alpha])[superscript 4]m
  • 7.3.4. Electron-Loop Polarization Insertion in the Radiative Photon. Contribution of Order [alpha superscript 2](Z[alpha])[superscript 4]m
  • 7.3.5. Insertion of One Electron and One Muon Loops in the same Coulomb Photon. Contribution of Order [alpha superscript 2](Z[alpha])[superscript 2](m[subscript e]/m)[superscript 2]m
  • 7.4. Hadron Loop Contributions
  • 7.4.1. Hadronic Vacuum Polarization Contribution of Order [alpha](Z[alpha])[superscript 4]m
  • 7.4.2. Hadronic Vacuum Polarization Contribution of Order [alpha](Z[alpha])[superscript 5]m
  • 7.4.3. Contribution of Order [alpha superscript 2](Z[alpha])[superscript 4]m Induced by Insertion of the Hadron Polarization in the Radiative Photon
  • 7.4.4. Insertion of One Electron and One Hadron Loops in the Same Coulomb Photon
  • 7.5. Standard Radiative, Recoil and Radiative-Recoil Corrections
  • 7.6. Nuclear Size and Structure Corrections
  • 7.6.1. Nuclear Size and Structure Corrections of Order (Z[alpha])[superscript 5]m
  • 7.6.2. Nuclear Size and Structure Corrections of Order (Z[alpha])[superscript 6]m
  • 7.6.3. Radiative Corrections to the Nuclear Finite Size Effect
  • 7.6.4. Radiative Corrections to Nuclear Polarizability Contribution
  • References
  • 8. Physical Origin of the Hyperfine Splitting and the Main Nonrelativistic Contribution
  • References
  • 9. Nonrecoil Corrections to HFS
  • 9.1. Relativistic (Binding) Corrections to HFS
  • 9.2. Electron Anomalous Magnetic Moment Contributions (Corrections of Order [alpha superscript n]E[subscript F])
  • 9.3. Radiative Corrections of Order [alpha superscript n](Z[alpha])E[subscript F]
  • 9.3.1. Corrections of Order [alpha](Z[alpha])E[subscript F]
  • 9.3.2. Corrections of Order [alpha superscript 2](Z[alpha])E[subscript F]
  • 9.3.3. Corrections of Order [alpha superscript 3](Z[alpha])E[subscript F]
  • 9.4. Radiative Corrections of Order [alpha superscript n](Z[alpha])[superscript 2]E[subscript F]
  • 9.4.1. Corrections of Order [alpha](Z[alpha])[superscript 2]E[subscript F]
  • 9.4.2. Corrections of Order [alpha superscript 2](Z[alpha])[superscript 2]E[subscript F]
  • 9.5. Radiative Corrections of Order [alpha](Z[alpha])[superscript 3]E[subscript F] and of Higher Orders
  • 9.5.1. Corrections of Order [alpha](Z[alpha])[superscript 3]E[subscript F]
  • 9.5.2. Corrections of Order [alpha superscript 2](Z[alpha])[superscript 3]E[subscript F] and of Higher Orders in [alpha]
  • References
  • 10. Essentially Two-Body Corrections to HFS
  • 10.1. Recoil Corrections to HFS
  • 10.1.1. Leading Recoil Correction
  • 10.1.2. Recoil Correction of Relative Order (Z[alpha])[superscript 2](m/M)
  • 10.1.3. Higher Order in Mass Ratio Recoil Correction of Relative Order (Z[alpha])[superscript 2]
  • 10.1.4. Recoil Corrections of Order (Z[alpha])[superscript 3](m/M)E[subscript F]
  • 10.2. Radiative-Recoil Corrections to HFS
  • 10.2.1. Corrections of Order [alpha](Z[alpha])(m/M)E[subscript F] and (Z[superscript 2][alpha])(Z[alpha])(m/M)E[subscript F]
  • 10.2.2. Electron-Line Logarithmic Contributions of Order [alpha](Z[alpha])(m/M)E[subscript F]
  • 10.2.3. Electron-Line Nonlogarithmic Contributions of Order [alpha](Z[alpha])(m/M)E[subscript F]
  • 10.2.4. Muon-Line Contribution of Order (Z[superscript 2][alpha])(Z[alpha])(m/M)E[subscript F]
  • 10.2.5. Leading Photon-Line Double Logarithmic Contribution of Order [alpha](Z[alpha])(m/M)E[subscript F]
  • 10.2.6. Photon-Line Single-Logarithmic and Nonlogarithmic Contributions of Order [alpha](Z[alpha])(m/M)E[subscript F]
  • 10.2.7. Heavy Particle Polarization Contributions of Order [alpha](Z[alpha])E[subscript F]
  • 10.2.8. Leading Logarithmic Contributions of Order [alpha superscript 2](Z[alpha])(m/M)E[subscript F]
  • 10.2.9. Leading Four-Loop Contribution of Order [alpha superscript 3](Z[alpha])(m/M)E[superscript F]
  • 10.2.10. Corrections of Order [alpha](Z[alpha])(m/M)[subscript n]E[subscript F]
  • 10.2.11. Corrections of Orders [alpha](Z[alpha])[superscript 2](m/M)E[subscript F] and Z[superscript 2][alpha](Z[alpha])[superscript 2](m/M)E[subscript F]
  • 10.3. Weak Interaction Contribution
  • References
  • 11. Hyperfine Splitting in Hydrogen
  • 11.1. Nuclear Size, Recoil and Structure Corrections of Orders (Z[alpha])E[subscript F] and (Z[alpha])[superscript 2]E[subscript F]
  • 11.1.1. Corrections of Order (Z[alpha])E[subscript F]
  • 11.1.2. Recoil Corrections of Order (Z[alpha])[superscript 2](m/M)E[subscript F]
  • 11.1.3. Correction of Order (Z[alpha])[superscript 2]m[superscript 2]r[superscript 2]E[subscript F]
  • 11.1.4. Correction of Order (Z[alpha])[superscript 3](m/[Lambda])E[subscript F]
  • 11.2. Radiative Corrections to Nuclear Size and Recoil Effects
  • 11.2.1. Radiative-Recoil Corrections of Order [alpha](Z[alpha])(m/[Lambda])E[subscript F]
  • 11.2.2. Radiative-Recoil Corrections of Order [alpha](Z[alpha])(m/M)E[subscript F]
  • 11.2.3. Heavy Particle Polarization Contributions
  • 11.3. Weak Interaction Contribution
  • References
  • 12. Notes on Phenomenology
  • 12.1. Lamb Shifts of the Energy Levels
  • 12.1.1. Values of Some Physical Constants
  • 12.1.2. Theoretical Accuracy of S-State Lamb Shifts
  • 12.1.3. Theoretical Accuracy of P-State Lamb Shifts
  • 12.1.4. Theoretical Accuracy of the Interval [Delta subscript n] = n[superscript 3]L(nS) - L(1S)
  • 12.1.5. Classic Lamb Shift 2S[Fraction 12] - 2P[Fraction 12]
  • 12.1.6. 1S Lamb Shift and the Rydberg Constant
  • 12.1.7. Isotope Shift
  • 12.1.8. Lamb Shift in Helium Ion He[superscript +]
  • 12.1.9. 1S - 2S Transition in Muonium
  • 12.1.10. Light Muonic Atoms
  • 12.2. Hyperfine Splitting
  • 12.2.1. Hyperfine Splitting in Hydrogen
  • 12.2.2. Hyperfine Splitting in Deuterium
  • 12.2.3. Hyperfine Splitting in Muonium
  • 12.3. Theoretical Perspectives
  • References
  • Index
The John Crerar Library bookplate

Similar Items