Research in atomic structure
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Bibliographic Information
Research in atomic structure
（Lecture notes in chemistry, 59）
Springer-Verlag, c1993
- : gw
- : us
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PRIORITY 2
Description and Table of Contents
Description
Impressive advances have been made in the study of atomic structures, at both the experimental and theoretical levels. And yet, the scarcity of information on atomic energy levels is evident At the same time there exists a need for data, because of the developments in such diverse fields as astrophysics and plasma and laser research, all of them of fundamental importance as well as practical impact. This project of research in atomic structure, consisting of three components (formulation, computer program, and numerical results), constitutes a basic and comprehensive work with a variety of uses. In its most practical application, it will yield a rather accurate prediction of the energy levels of any atomic system, of use per se or in the interpretation and confirmation of experimental results. On the other hand, it will also be of use in the comparative study of the appropriateness of the various levels of approximation and as a point of reference.
Table of Contents
Theoretical Foundation.- 1 Hamiltonian Operator and Eigenvalue Equations.- 1.1 Hamiltonian operator.- 1.1.1 Extended Breit Hamiltonian operator.- 1.1.2 Generalized Hamiltonian operator.- 1.2 Eigenvalue equations.- Basic Theoretical Formulation.- 2 Angular Functions: Coupling of Angular Momenta.- 2.1 One-electron functions.- 2.2 SL-functions.- 2.3 JMJ- and FMF-functions.- 2.4 Selection of functions.- 3 Tensor-Operator Formulation.- 3.1 Tensor operators.- 3.2 Wigner-Eckart theorem.- 3.3 Reduced matrix elements.- 3.4 Matrix elements.- Application of the Basic Formulation.- 4 Transformation of Operators to Tensor Form.- 4.1 Basic operators.- 4.1.1 Operators s(1), ?(1) and C(k).- 4.1.2 Other common operators.- 4.2 Transformation rules.- 4.3 Application.- 4.4 Summary.- 5 Matrix Elements.- 5.1 General formulation.- 5.2 General expressions.- 5.2.1. SMSLML-coupling.- 5.2.2. JMJ-coupling.- 5.2.3. FMF-coupling.- 5.3 Examples for specific interactions.- 6 Summary of Theoretical Results.- 6.1 Electronic energy.- 6.2 Mass variation.- 6.3 Specific mass effect.- 6.4 One-electron Darwin correction.- 6.5 Two-electron Darwin correction.- 6.6 Electron spin-spin contact interaction.- 6.7 Orbit-orbit interaction.- 6.8 Spin-orbit coupling.- 6.9 Spin-spin dipole interaction.- 6.10 Magnetic dipole and Fermi contact interactions.- 6.11 Electric quadrupole coupling.- 6.12 Magnetic octupole coupling.- 6.13 Zeeman effect (low field).- 6.14 Zeeman effect (high field).- 6.15 Zeeman effect (very high field).- 6.16 Stark effect.- 6.17 Nuclear-mass dependent orbit-orbit interaction.- 6.18 Nuclear-mass dependent spin-orbit coupling (electron spin).- 6.19 Nuclear-mass dependent spin-orbit coupling (nuclear spin).- Implementation.- 7 Practical Details.- 7.1 Selection of configurations.- 7.2 Determination of radial functions.- 7.3 Selection rules.- 7.4 Mass corrections.- 8 Numerical Examples.- 8.1 Accurate energies.- 8.2 SLJ energy levels.- 8.3 Hyperfine-structure splittings.- 8.4 Nuclear-mass dependent corrections.- References.- Reference texts.- Data sources.- Units and Constants.- Constants.- Units.- Notation and Symbols.
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