Local solutions of self-consistent field equations for coupled oscillators and their symmetry
Authors:
- Jan Makarewicz
Abstract
Exact solutions of self-consistent field (SCF) equations are obtained for a class of coupled oscillators (CO). For some CO models the solutions localised in various domains of configurational space are found. These local solutions (LS) correspond to the critical points (CP) of SCF energy functionals of various types, e.g. local minima, saddle points and others which are Thom’s catastrophes. The symmetry properties of LS are discussed. Broken symmetry LS and a new class of LS with symmetry different from the symmetry of the CO Hamiltonian are also found. © 1985 The Institute of Physics.
- Record ID
- UAM293fdfcc0a334c219628b20f83c55cc9
- Author
- Journal series
- JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, ISSN 0305-4470
- Issue year
- 1985
- Vol
- 18
- Pages
- 2509-2520
- ASJC Classification
- ; ;
- DOI
- DOI:10.1088/0305-4470/18/13/026 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 1; : 2006 (2 years) = 1.577
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM293fdfcc0a334c219628b20f83c55cc9/
- URN
urn:amu-prod:UAM293fdfcc0a334c219628b20f83c55cc9
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