Atomic Spectroscopy

Introduction to the Theory of Hyperfine Structure

By: Anatoli V. Andreev

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Hardcover | 16 December 2005

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292 Pages

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23.39 x 15.6 x 1.75

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Atomic Spectroscopy provides a comprehensive discussion on the general approach to the theory of atomic spectra, based on the use of the Lagrangian canonical formalism. This approach is developed and applied to explain the hydrogenic hyperfine structure associated with the nucleus motion, its finite mass, and spin. The non-relativistic or relativistic, spin or spin-free particle approximations can be used as a starting point of general approach. The special attention is paid to the theory of Lamb shift formation. The formulae for hydrogenic spectrum including the account of Lamb shift are written in simple analytical form. The book is of interest to specialists, graduate and postgraduate students, who are involved into the experimental and theoretical research in the field of modern atomic spectroscopy.

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Preface	p. xi
Acknowledgments	p. xiii
Introduction	p. 1
Experiments with single particle in Penning trap	p. 2
Spectroscopy of hydrogenlike atoms	p. 4
Experiments on search for electric dipole moment of elementary particles and atoms	p. 7
Fine and Hyperfine Structure of Atomic Spectra
Schrodinger Equation	p. 13
Schrodinger equation	p. 13
Schrodinger and Heisenberg equations	p. 13
Continuity equation, boundary conditions, and normalization condition	p. 16
Gauge transformation	p. 18
Quantum mechanical operators	p. 19
Momentum operator	p. 20
Space inversion and parity operator	p. 21
Three-dimensional rotations and angular momentum operator	p. 22
Particle motion in the Coulomb field	p. 24
Discrete spectrum	p. 25
Continuous spectrum	p. 31
Matrix elements of transitions	p. 31
Hydrogen atom	p. 34
Hamiltonian of two-particle problem	p. 34
Reduced electron mass	p. 36
Atom in trap	p. 37
Interaction of trapped atom with electromagnetic field	p. 38
Variational Principle for Schrodinger Equation: Orbital Interaction in Hydrogenlike Atoms	p. 43
Particle wave fields	p. 43
Lagrange function	p. 44
Hamiltonian function	p. 45
Action for particle interacting with electromagnetic field	p. 47
Symmetry properties with respect to orthogonal transformations	p. 49
Orthogonal transformations	p. 49
Space inversion	p. 52
Spatial translation	p. 53
Three-dimensional rotations	p. 54
Transformations including time axis	p. 55
Many-electron atom	p. 57
Action principle for many-electron atom	p. 57
Hydrogen atom	p. 60
Integrals of motion	p. 63
Energy level shift due to orbital interaction in hydrogenlike atoms	p. 65
Pauli Equation	p. 69
Spin	p. 69
Spin operator	p. 70
Pauli matrix and spinors	p. 71
Hamiltonian of Pauli equation	p. 74
Geonium atom	p. 75
Electron motion in homogeneous magnetic field	p. 76
Strength of induced magnetic field	p. 80
Hydrogen atom	p. 81
Action for ensemble of non-relativistic spin-1/2 particles	p. 81
Orbital, spin-orbital, and spin-spin interactions	p. 85
Integrals of motion for hydrogen atom	p. 88
Angular dependency of hydrogenic wave functions	p. 90
Angular matrix elements of Hamiltonian of spin-orbital and spin-spin interactions	p. 94
Equations for radial wave functions	p. 97
Influence of orbital, spin-orbital, and spin-spin interactions on the energy spectrum of hydrogen atom	p. 99
Relativistic Equation for Spin Zero Particle	p. 105
Klein-Gordon-Fock equation	p. 105
Interaction of zero spin particle with electromagnetic field	p. 107
Mesoatom	p. 109
Wave functions	p. 112
Dirac Equation	p. 115
Dirac matrices	p. 115
Covariant form of the Dirac equation	p. 118
Symmetry properties of the Dirac equation with respect to the orthogonal transformations	p. 120
Three-dimensional rotations	p. 122
Lorentz transformation	p. 124
Space inversion	p. 125
Time reversal	p. 125
Charge conjugation	p. 126
CPT invariance	p. 127
Free particle	p. 128
Plane waves	p. 129
Helicity	p. 130
Particle and antiparticle	p. 132
Spherical waves	p. 133
Particle interaction with electromagnetic field	p. 136
Pauli equation	p. 138
Non-relativistic approximation	p. 139
Motion in Coulomb field	p. 141
Table of Contents provided by Ingram. All Rights Reserved.

Atomic Spectroscopy

Introduction to the Theory of Hyperfine Structure

At a Glance

Hardcover

Shipping

How to return your order

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