# Four-dimensional singular oscillator and generalized MIC-Kepler system

## Abstract

It is shown that the generalized MIC-Kepler system and four-dimensional singular oscillator are dual to each other and the duality transformation is the generalized version of the Kustaanheimo-Stiefel transformation.

- Authors:

- Yerevan State University (Armenia)

- Publication Date:

- OSTI Identifier:
- 21075912

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 3; Other Information: DOI: 10.1134/S1063778807030180; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DUALITY; FOUR-DIMENSIONAL CALCULATIONS; OSCILLATORS; TRANSFORMATIONS

### Citation Formats

```
Mardoyan, L. G., E-mail: mardoyan@ysu.am, and Petrosyan, M. G..
```*Four-dimensional singular oscillator and generalized MIC-Kepler system*. United States: N. p., 2007.
Web. doi:10.1134/S1063778807030180.

```
Mardoyan, L. G., E-mail: mardoyan@ysu.am, & Petrosyan, M. G..
```*Four-dimensional singular oscillator and generalized MIC-Kepler system*. United States. doi:10.1134/S1063778807030180.

```
Mardoyan, L. G., E-mail: mardoyan@ysu.am, and Petrosyan, M. G.. Thu .
"Four-dimensional singular oscillator and generalized MIC-Kepler system". United States.
doi:10.1134/S1063778807030180.
```

```
@article{osti_21075912,
```

title = {Four-dimensional singular oscillator and generalized MIC-Kepler system},

author = {Mardoyan, L. G., E-mail: mardoyan@ysu.am and Petrosyan, M. G.},

abstractNote = {It is shown that the generalized MIC-Kepler system and four-dimensional singular oscillator are dual to each other and the duality transformation is the generalized version of the Kustaanheimo-Stiefel transformation.},

doi = {10.1134/S1063778807030180},

journal = {Physics of Atomic Nuclei},

number = 3,

volume = 70,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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