Published August 29, 2003
| Version v1
Journal article
On the dynamics of the Langmuir problem
Creators
- 1. Pacific Institute for the Mathematical Sciences and Department of Mathematics and Statistics, University of Victoria, PO Box 3045, Victoria, BC, V8W 3P4 (Canada)
- 2. Departamento de Matematicas, Universidad Autonoma Metropolitana-Iztapalapa, Apdo 55534, Mexico, DF (Mexico)
Description
We study the dynamics of an invariant set of the classical Coulomb atom, which generalizes the one Langmuir proposed for helium in 1921. The n electrons are positioned at the vertices of a regular polygon that changes size homothetically, while the nucleus moves along a line orthogonal through the centre of the polygon. Our main result is that for negative energy the equations of motion have infinitely many periodic solutions
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/9053/a33408.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/9053/a33408.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/34/308;
- PII
- S0305-4470(03)59357-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 34
- Journal Page Range
- p. 9053-9066
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35000264
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EQUATIONS OF MOTION; HELIUM; LANGMUIR FREQUENCY; MATHEMATICAL SOLUTIONS; PERIODICITY; VERTEX FUNCTIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELEMENTS; EQUATIONS; FLUIDS; FUNCTIONS; GASES; NONMETALS; PARTIAL DIFFERENTIAL EQUATIONS; RARE GASES; VARIATIONS