# Quantum defect and transition probabilities

## Abstract

A summary of the relativistic quantum defect orbital (RQDO) method, as well as a few numerical examples of oscillator strengths, are presented. The radial functions in this formalism derive from solving a form of the decoupled second-order Dirac radial equation. With the method being totally analytical, it constitutes a simple and reliable procedure for predicting properties of interest in astrophysics and fusion plasma research, such as transition probabilities, while accounting for a large part of relativistic effects. Core polarization during electron transitions can also be explicitly accounted for in an analytic form.

- Authors:

- Univ. de Valladolid (Spain). Dept. de Quimica Fisica

- Publication Date:

- OSTI Identifier:
- 687547

- Resource Type:
- Journal Article

- Journal Name:
- International Journal of Quantum Chemistry

- Additional Journal Information:
- Journal Volume: 74; Journal Issue: 5; Other Information: PBD: 15 Sep 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; ATOMS; CALCULATION METHODS; OSCILLATOR STRENGTHS; DIRAC APPROXIMATION; ENERGY-LEVEL TRANSITIONS; RELATIVITY THEORY; INTERMEDIATE COUPLING

### Citation Formats

```
Martin, I.
```*Quantum defect and transition probabilities*. United States: N. p., 1999.
Web. doi:10.1002/(SICI)1097-461X(1999)74:5<479::AID-QUA5>3.3.CO;2-W.

```
Martin, I.
```*Quantum defect and transition probabilities*. United States. doi:10.1002/(SICI)1097-461X(1999)74:5<479::AID-QUA5>3.3.CO;2-W.

```
Martin, I. Wed .
"Quantum defect and transition probabilities". United States. doi:10.1002/(SICI)1097-461X(1999)74:5<479::AID-QUA5>3.3.CO;2-W.
```

```
@article{osti_687547,
```

title = {Quantum defect and transition probabilities},

author = {Martin, I.},

abstractNote = {A summary of the relativistic quantum defect orbital (RQDO) method, as well as a few numerical examples of oscillator strengths, are presented. The radial functions in this formalism derive from solving a form of the decoupled second-order Dirac radial equation. With the method being totally analytical, it constitutes a simple and reliable procedure for predicting properties of interest in astrophysics and fusion plasma research, such as transition probabilities, while accounting for a large part of relativistic effects. Core polarization during electron transitions can also be explicitly accounted for in an analytic form.},

doi = {10.1002/(SICI)1097-461X(1999)74:5<479::AID-QUA5>3.3.CO;2-W},

journal = {International Journal of Quantum Chemistry},

number = 5,

volume = 74,

place = {United States},

year = {1999},

month = {9}

}

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