Atomic Physics 1st edition Edition by Christopher J Foot ISBN 0198506961 9780198506966

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ISBN 10: 0198506961 
ISBN 13: 9780198506966
Author: Christopher J Foot

Atomic Physics 1st Table of contents:

1 Early Atomic Physics
1.1 Introduction
1.2 Spectrum of Atomic Hydrogen
1.3 Bohr’s Theory
1.4 Relativistic Effects
1.5 Moseley and the Atomic Number
1.6 Radiative Decay
1.7 Einstein A and B Coefficients
1.8 The Zeeman Effect
1.8.1 Experimental Observation of the Zeeman Effect
1.9 Summary of Atomic Units
Exercises
2 The Hydrogen Atom
2.1 The Schrödinger Equation
2.1.1 Solution of the Angular Equation
2.1.2 Solution of the Radial Equation
2.2 Transitions
2.2.1 Selection Rules
2.2.2 Integration with Respect to θ
2.2.3 Parity
2.3 Fine Structure
2.3.1 Spin of the Electron
2.3.2 The Spin–orbit Interaction
2.3.3 The Fine Structure of Hydrogen
2.3.4 The Lamb Shift
2.3.5 Transitions between Fine-Structure Levels
Further Reading
Exercises
3 Helium
3.1 The Ground State of Helium
3.2 Excited States of Helium
3.2.1 Spin Eigenstates
3.2.2 Transitions in Helium
3.3 Evaluation of the Integrals in Helium
3.3.1 Ground State
3.3.2 Excited States: The Direct Integral
3.3.3 Excited States: The Exchange Integral
Further Reading
Exercises
4 The Alkalis
4.1 Shell Structure and the Periodic Table
4.2 The Quantum Defect
4.3 The Central-Field Approximation
4.4 Numerical Solution of the Schrödinger Equation
4.4.1 Self-Consistent Solutions
4.5 The Spin–Orbit Interaction: A Quantum Mechanical Approach
4.6 Fine Structure in the Alkalis
4.6.1 Relative Intensities of Fine-Structure Transitions
Further Reading
Exercises
5 The LS-Coupling Scheme
5.1 Fine Structure in the LS-Coupling Scheme
5.2 The jj-Coupling Scheme
5.3 Intermediate Coupling: The Transition between Coupling Schemes
5.4 Selection Rules in the LS-Coupling Scheme
5.5 The Zeeman Effect
5.6 Summary
Further Reading
Exercises
6 Hyperfine Structure and Isotope Shift
6.1 Hyperfine Structure
6.1.1 Hyperfine Structure for s-Electrons
6.1.2 Hydrogen Maser
6.1.3 Hyperfine Structure for l ≠ 0
6.1.4 Comparison of Hyperfine and Fine Structures
6.2 Isotope Shift
6.2.1 Mass Effects
6.2.2 Volume Shift
6.2.3 Nuclear Information from Atoms
6.3 Zeeman Effect and Hyperfine Structure
6.3.1 Zeeman Effect of a Weak Field, μBB < A
6.3.2 Zeeman Effect of a Strong Field, μBB > A
6.3.3 Intermediate Field Strength
6.4 Measurement of Hyperfine Structure
6.4.1 The Atomic-Beam Technique
6.4.2 Atomic Clocks
Further Reading
Exercises
7 The Interaction of Atoms with Radiation
7.1 Setting up the Equations
7.1.1 Perturbation by an Oscillating Electric Field
7.1.2 The Rotating-Wave Approximation
7.2 The Einstein B Coefficients
7.3 Interaction with Monochromatic Radiation
7.3.1 The Concepts of π-Pulses and π/2-Pulses
7.3.2 The Bloch Vector and Bloch Sphere
7.4 Ramsey Fringes
7.5 Radiative Damping
7.5.1 The Damping of a Classical Dipole
7.5.2 The Optical Bloch Equations
7.6 The Optical Absorption Cross-Section
7.6.1 Cross-Section for Pure Radiative Broadening
7.6.2 The saturation Intensity
7.6.3 Power Broadening
7.7 The a.c. Stark Effect or Light Shift
7.8 Comment on Semiclassical Theory
7.9 Conclusions
Further Reading
Exercises
8 Doppler-Free Laser Spectroscopy
8.1 Doppler Broadening of Spectral Lines
8.2 The Crossed-Beam Method
8.3 Saturated Absorption Spectroscopy
8.3.1 Principle of Saturated Absorption Spectroscopy
8.3.2 Cross-Over Resonances in Saturation Spectroscopy
8.4 Two-Photon Spectroscopy
8.5 Calibration in Laser Spectroscopy
8.5.1 Calibration of the Relative Frequency
8.5.2 Absolute Calibration
8.5.3 Optical Frequency Combs
Further Reading
Exercises
9 Laser Cooling and Trapping
9.1 The Scattering Force
9.2 Slowing an Atomic Beam
9.2.1 Chirp Cooling
9.3 The Optical Molasses Technique
9.3.1 The Doppler Cooling Limit
9.4 The Magneto-Optical Trap
9.5 Introduction to the Dipole Force
9.6 Theory of the Dipole Force
9.6.1 Optical Lattice
9.7 The Sisyphus Cooling Technique
9.7.1 General Remarks
9.7.2 Detailed Description of Sisyphus Cooling
9.7.3 Limit of the Sisyphus Cooling Mechanism
9.8 Raman Transitions
9.8.1 Velocity Selection by Raman Transitions
9.8.2 Raman Cooling
9.9 An Atomic Fountain
9.10 Conclusions
Exercises
10 Magnetic Trapping, Evaporative Cooling and Bose–Einstein Condensation
10.1 Principle of Magnetic Trapping
10.2 Magnetic Trapping
10.2.1 Confinement in the Radial Direction
10.2.2 Confinement in the Axial Direction
10.3 Evaporative Cooling
10.4 Bose–Einstein Condensation
10.5 Bose–Einstein Condensation in Trapped Atomic Vapours
10.5.1 The Scattering Length
10.6 A Bose–Einstein Condensate
10.7 Properties of Bose-Condensed Gases
10.7.1 Speed of Sound
10.7.2 Healing Length
10.7.3 The Coherence of a Bose–Einstein Condensate
10.7.4 The Atom Laser
10.8 Conclusions
Exercises
11 Atom Interferometry
11.1 Young’s Double-Slit Experiment
11.2 A Diffraction Grating for Atoms
11.3 The Three-Grating Interferometer
11.4 Measurement of Rotation
11.5 The Diffraction of Atoms by Light
11.5.1 Interferometry with Raman Transitions
11.6 Conclusions
Further Reading
Exercises
12 Ion Traps
12.1 The Force on Ions in an Electric Field
12.2 Earnshaw’s Theorem
12.3 The Paul Trap
12.3.1 Equilibrium of a Ball on a Rotating Saddle
12.3.2 The Effective Potential in an a.c. Field
12.3.3 The Linear Paul Trap
12.4 Buffer Gas Cooling
12.5 Laser Cooling of Trapped Ions
12.6 Quantum Jumps
12.7 The Penning Trap and The Paul Trap
12.7.1 The Penning Trap
12.7.2 Mass Spectroscopy of Ions
12.7.3 The Anomalous Magnetic Moment of the Electron
12.8 Electron Beam ion Trap
12.9 Resolved Sideband Cooling
12.10 Summary of Ion Traps
Further Reading
Exercises
13 Quantum Computing
13.1 Qubits and Their Properties
13.1.1 Entanglement
13.2 A Quantum Logic Gate
13.2.1 Making a CNOT Gate
13.3 Parallelism in Quantum Computing
13.4 Summary of Quantum Computers
13.5 Decoherence and Quantum Error Correction
13.6 Conclusion
Further Reading
Exercises
A Appendix A: Perturbation Theory
A.1 Mathematics of Perturbation Theory
A.2 Interaction of Classical Oscillators of Similar Frequencies
B Appendix B: The Calculation of Electrostatic Energies
C Appendix C: Magnetic Dipole Transitions
D Appendix D: The Line Shape in Saturated Absorption Spectroscopy
E Appendix E: Raman and Two-Photon Transitions
E.1 Raman transitions
E.2 Two-Photon Transitions
F Appendix F: The Statistical Mechanics of Bose–Einstein Condensation
F.1 The Statistical Mechanics of Photons
F.2 Bose–Einstein Condensation
F.2.1 Bose–Einstein Condensation in a Harmonic Trap

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