In this book we summarize the essential results of our efforts over the years to calculate energies, wave functions, and electromagnetic transitions of atoms as functions of the magnetic field strength from laboratory fields up to neutron star magnetic fields. Motivated by the observational evidence of huge magnetic 5 fields with strengths up to 10 T in the vicinity of white dwarf stars and of up 9 to 10 T in the vicinity of neutron stars the authors, together with coworkers and candidates for doctor and diploma degrees, have investigated this ,fasci nating quantum mechanical problem more or less continuously since 1978. The extensive tables and figures in the appendices represent the most complete data set to date in this field of research. For practical use all numbers are available by "anonymous ftp" over Internet. The first direct measurement of a neutron star magnetic field by Trum per and his group, who observed a cyclotron feature at about 50 ke V in the spectrum of the X-ray pulsar Hercules X-I corresponding to a field strength of 8 several 10 T, stimulated investigations of atoms within the framework of the adiabatic approximation, which is well justified for such field strengths. This method and its results are discussed in Chaps. 3, 5, and 6.
Notes
Bibliographic Level Mode of Issuance: Monograph
Bibliographic references
Includes bibliographical references and index.
Source of description
Description based on print version record.
Language note
English
Contents
1. Introduction
1.1 Magnetic Fields of Compact Cosmic Objects
1.2 Historical Review
1.3 Notations and Abbreviations
2. Interacting Charged Particles in Uniform Magnetic Fields
2.1 The N-Body Problem
2.2 The Uncharged Two-Body Problem
2.3 Scaling Properties of the Coulomb Problem
3. Methods of Solution for the Magnetized Coulomb Problem
3.1 General Considerations
3.2 Numerical Treatment
4. Results for Low-Lying States
4.1 Energy Values
4.2 Wavelengths of the Hydrogen Atom
4.3 Wave Functions of the Hydrogen Atom
5. Energies for Arbitrarily Excited States in Adiabatic Approximation
5.1 Asymptotic Property of the Effective Potentials
5.2 Numerical Results and Their Accuracy
6. Electromagnetic Transition Probabilities
6.1 The General Expressions
6.2 Effects of the Finite Proton Mass on the Transition Matrix Element
6.3 Results
6.4 Expressions for Electromagnetic Transitions in Adiabatic Approximation
7. Stationary Lines and White Dwarf Spectra
7.1 Stationary Lines
7.2 Spectra of Selected Magnetic White Dwarfs
7.3 Table of Magnetic White Dwarfs
7.4 Future Work
8. Relativistic Effects, Nuclear Mass Effects, and Landau-Excited States
8.1 Spin-Orbit Coupling
8.2 Effects of the Finite Proton Mass and of Motion Perpendicular to the Magnetic Field
8.3 Landau-Excited States
9. Helium-Like Atoms in Magnetic Fields of Arbitrary Strengths
9.1 Correspondence Diagrams
9.2 Method of Solution
9.3 Dipole Strengths, Oscillator Strengths, and Transition Probabilities
9.4 Results for the Two-Electron Problem
10. Highly Excited States
10.1 Results
10.2 Is There Chaos in Quantum Mechanics?
Outlook
A1. Energy Values
A1.1 Tables of the Energy Values
A1.2 Figures of the Energy Values
A2. Wavelengths
A2.1 Figures of the Wavelengths
A2.2 Tables of Stationary Wavelengths
A2.3 Figures of Stationary Wavelengths
A3. Electromagnetic Transition Probabilities
A3.1 Wavelengths, Dipole Strengths, Oscillator Strengths, and Transition Rates
A3.2 Oscillator Strengths and Transition Probabilities in Adiabatic Approximation
A3.3 Dipole Strengths of Stationary Transitions
A4. Helium and Helium-Like Atoms
A4.1 Tables of the Energy Values
A4.2 Wavelengths, Dipole Strengths, Oscillator Strengths, and Transition Rates
References.
ISBN
3-642-78820-3
Doi
10.1007/978-3-642-78820-8
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