Astronomy-Inspired Atomic and Molecular Physics

By: A.R. Rau

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Hardcover | 28 February 2002

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Hardcover
260 Pages

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24.13 x 16.51 x 2.54

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Aimed at senior undergraduate and first-year graduate students in departments of physics and astronomy, this textbook gives a systematic treatment of atomic and molecular structure and spectra, together with the effect of weak and strong external electromagnetic fields.
Topics chosen are those of interest in astronomy, and indeed many were inspired by specific astronomical contexts. Examples include the negative ion of hydrogen and the effects of strong magnetic fields such as those occurring on certain white dwarfs and neutron stars. Adiabatic and non-adiabatic handling of electron correlations and application to processes such as dielectronic recombination are included. Astronomical examples are provided throughout, as well as end-of-the-chapter problems and exercises. Over seventy illustrative diagrams complete this unique and comprehensive volume.

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Preface	p. ix
Atomic Structure	p. 1
Beginnings	p. 1
The Hydrogen Atom	p. 3
Eigenstates in the spherical representation	p. 3
High symmetry of the hydrogen atom, separation in parabolic coordinates	p. 6
The Two-electron Atom	p. 8
The ground state of helium	p. 9
Excited states	p. 12
Configuration interaction	p. 16
Heavier Atoms	p. 17
Configurations and states	p. 17
Simple screening pictures	p. 20
The Thomas-Fermi self-consistent field model	p. 22
Exact treatments: Hartree-Fock and configuration interaction	p. 28
Line Spectra and Their Uses	p. 30
Atomic spectra in astronomy	p. 30
Doppler shifts of spectral lines	p. 34
Problems	p. 37
Coupling of Atoms to Radiation	p. 41
Introduction	p. 41
Photoabsorption and Photoemission	p. 42
The Oscillator strength	p. 43
Alternative forms of the dipole matrix element	p. 46
Selection rules	p. 49
Moments and sum rules	p. 53
Charged-particle Collisions	p. 55
The Generalized Oscillator strength	p. 55
Total cross-section	p. 59
The Negative Ion of Hydrogen	p. 60
The ground state of H[superscript -]	p. 61
Photodetachment of H[superscript -]	p. 63
Radiative capture	p. 64
Problems	p. 66
Atoms in Weak, Static Fields	p. 69
Introduction	p. 69
External Electric and Magnetic Fields	p. 70
Coupling to external fields	p. 70
Time-independent perturbation theory	p. 71
The Stark effect	p. 76
The Zeeman effect	p. 78
Internal Perturbations in an Atom	p. 82
Relativistic mass correction	p. 82
Spin-orbit coupling	p. 83
Other corrections	p. 84
Problems	p. 85
Atoms in Strong Magnetic Fields	p. 87
Introduction	p. 87
Free electrons in a magnetic field	p. 88
Excited States in a Magnetic Field	p. 91
Basic Hamiltonian and spectrum	p. 91
Degenerate perturbation theory in an n-manifold	p. 97
Large-scale numerical calculations	p. 106
Quasi-classical JWKB analysis	p. 110
Rydberg diamagnetism in other atoms	p. 114
Strong Field Effects on Low-lying States	p. 114
Introduction	p. 114
Hydrogen in an ultrastrong magnetic field	p. 115
Complex atoms in ultrastrong fields	p. 122
Complex atoms in very strong, but not ultrastrong, fields	p. 126
Strong Magnetic Fields in Astronomy	p. 131
Problems	p. 133
Electron Correlations	p. 135
Introduction	p. 135
Electron Correlations	p. 136
Qualitative picture	p. 136
The spectrum of He and H[superscript -]	p. 137
Experimental observation	p. 141
Hyperspherical Coordinates	p. 142
Coulomb potential and hyperspherical harmonics in six dimensions	p. 149
Adiabatic hyperspherical method	p. 151
Description of resonances	p. 156
High-lying doubly-excited states and double ionization	p. 161
Dielectronic Recombination	p. 164
Problems	p. 167
Diatomic Molecules	p. 169
Introduction	p. 169
Structure of Diatomic Molecules	p. 170
Basic mechanism and nomenclature of covalent bonds	p. 170
Molecular orbitals and states of simple diatomic molecules	p. 173
The Born-Oppenheimer approximation	p. 176
Rotations and vibrations of the internuclear axis	p. 179
Anharmonicities and rotation-vibration coupling	p. 182
Parity of molecular states	p. 184
Effect of nuclear spin	p. 185
Molecular Spectra	p. 187
Rotational spectra	p. 187
Vibrational spectra	p. 189
Raman spectra	p. 192
Electronic spectra	p. 193
External field effects on molecular spectra	p. 199
Collisional processes	p. 199
Astrophysical Applications	p. 200
Problems	p. 205
Polyatomic Molecules	p. 207
Introduction	p. 207
Structure and Spectra of Polyatomic Molecules	p. 207
Born-Oppenheimer approximation and electronic structure	p. 207
Rotation of polyatomic molecules and spectra	p. 211
Vibrations of polyatomic molecules	p. 215
Degeneracies and rovibronic couplings	p. 221
Astrophysical Applications	p. 224
Problems	p. 227
References	p. 229
Index	p. 233
Table of Contents provided by Ingram. All Rights Reserved.

Astronomy-Inspired Atomic and Molecular Physics

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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