On classical r matrix for the Kowalevski gyrostat on so(4)
Abstract
We present the trigonometric Lax matrix and classical r matrix for the Kowalevski gyrostat on so(4) algebra by using auxiliary matrix algebras so(3,2) or sp(4)
 Authors:
 St. Petersburg State University (Russian Federation), Email: andreyts@yandex.ru
 Publication Date:
 OSTI Identifier:
 21075915
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 3; Other Information: DOI: 10.1134/S1063778807030155; 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; ALGEBRA; LAX THEOREM; R MATRIX; ROTATION; SO GROUPS; SO4 GROUPS; SP GROUPS; SYMMETRY
Citation Formats
Komarov, I. V., Email: ivkoma@rambler.ru, and Tsiganov, A. V. On classical r matrix for the Kowalevski gyrostat on so(4). United States: N. p., 2007.
Web. doi:10.1134/S1063778807030155.
Komarov, I. V., Email: ivkoma@rambler.ru, & Tsiganov, A. V. On classical r matrix for the Kowalevski gyrostat on so(4). United States. doi:10.1134/S1063778807030155.
Komarov, I. V., Email: ivkoma@rambler.ru, and Tsiganov, A. V. Thu .
"On classical r matrix for the Kowalevski gyrostat on so(4)". United States.
doi:10.1134/S1063778807030155.
@article{osti_21075915,
title = {On classical r matrix for the Kowalevski gyrostat on so(4)},
author = {Komarov, I. V., Email: ivkoma@rambler.ru and Tsiganov, A. V.},
abstractNote = {We present the trigonometric Lax matrix and classical r matrix for the Kowalevski gyrostat on so(4) algebra by using auxiliary matrix algebras so(3,2) or sp(4)},
doi = {10.1134/S1063778807030155},
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}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Thermal decomposition behavior of the rareearth ammonium sulfate R{sub 2}(SO{sub 4}){sub 3}.(NH{sub 4}){sub 2}SO{sub 4}
Rareearth ammonium sulfate octahydrates of R{sub 2}(SO{sub 4}){sub 3}.(NH{sub 4}){sub 2}SO{sub 4}.8H{sub 2}O (R=Pr, Nd, Sm, and Eu) were synthesized by a wet process, and the stable temperature region for the anhydrous R{sub 2}(SO{sub 4}){sub 3}.(NH{sub 4}){sub 2}SO{sub 4} form was clarified by thermogravimetry/differential thermal analysis, infrared, Raman, and electrical conductivity measurements. Detailed characterization of these double salts demonstrated that the thermal stability of anhydrous R{sub 2}(SO{sub 4}){sub 3}.(NH{sub 4}){sub 2}SO{sub 4} is different between the Pr, Nd salts and the Sm, Eu salts, and the thermal decomposition behavior of these salts was quite different from the previous reports. more » 
Classical r matrix of the su(2 vertical bar 2) super YangMills spin chain
In this note we straightforwardly derive and make use of the quantum R matrix for the su(2 vertical bar 2) super YangMills spin chain in the manifest su(1 vertical bar 2)invariant formulation, which solves the standard quantum YangBaxter equation, in order to obtain the correspondent (undressed) classical r matrix from the first order expansion in the 'deformation' parameter 2{pi}/{radical}({lambda}) and check that this last solves the standard classical YangBaxter equation. We analyze its bialgebra structure, its dependence on the spectral parameters, and its pole structure. We notice that it still preserves an su(1 vertical bar 2) subalgebra, thereby admitting anmore » 
Lowenergy elastic and inelastic scattering of electrons from SO{sub 2} using the Rmatrix method
Rmatrix method is used to calculate elastic differential, integral, and momentum transfer cross sections for electronSO{sub 2} collision. The electronimpact excitation cross sections for first seven lowlying electronic excited states of SO{sub 2} molecule from the ground state of SO{sub 2} molecule have been calculated for the first time. Sixteen lowlying electronic states of SO{sub 2} molecule are included in the close coupling expansion of the wave function of the entire scattering system, which have vertical excitation energies up to 10.51 eV. Configurationinteraction (CI) wave functions are used to calculate these excitation energies. In our CI model, we keep themore » 
Electronimpact study of the SO radical using the Rmatrix method
The SO radical with an even number of electrons belongs to an openshell system due to its {pi}{sup 2} groundstate electronic configuration. This configuration gives rise to three lowlying states X {sup 3}{Sigma}{sup }, a {sup 1}{Delta}, and b {sup 1}{Sigma}{sup +}. The inclusion of these target states in a trial wave function of the entire scattering have important implications in the resonances that may be detected in this openshell molecule. The Rmatrix method is a wellestablished ab initio formalism which is employed to calculate elastic differential and integral cross sections, momentumtransfer cross sections, and inelastic cross sections. The HartreeFockmore »