QUASICLASSICAL LIMIT OF QUANTUM MATRIX GROUPS

1991 ◽  
pp. 171-199
Author(s):  
B.A. KUPERSHMIDT
Keyword(s):  
Matrix Groups ◽  
Quasiclassical Limit ◽  
Quantum Matrix

BETHE ANSATZ FOR NON-COMPACT GROUPS: THE PAIRING MODELS FOR BOSONS

2003 ◽  
Vol 17 (26) ◽  
pp. 1353-1363
Author(s):  
A. A. OVCHINNIKOV
Keyword(s):  
Bethe Ansatz ◽  
Transfer Matrix ◽  
Inverse Scattering Method ◽  
Compact Groups ◽  
Scattering Method ◽  
Helium Nanodroplets ◽  
New Class ◽  
Quasiclassical Limit ◽  
Exactly Solvable ◽  
Solvable Pairing

We discuss the construction of the exactly solvable pairing models for bosons in the framework of the Quantum Inverse Scattering method. It is stressed that this class of models naturally appears in the quasiclassical limit of the algebraic Bethe ansatz transfer matrix. We propose the new pairing Hamiltonians for bosons, depending on the additional parameters. It is pointed out that the new class of the pairing models can be obtained from the fundamental transfer-matrix. The possible new application of the pairing models for confined bosons in the physics of helium nanodroplets is pointed out.

scholarly journals On Finite Nilpotent Matrix Groups over Integral Domains

ISRN Algebra ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Dmitry Malinin
Keyword(s):  
General Result ◽  
Nilpotent Groups ◽  
Commutative Rings ◽  
Integral Domains ◽  
Matrix Groups ◽  
Nilpotent Matrix

We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.

scholarly journals Matrix groups with positive spectra

1992 ◽  
Vol 173 ◽  
pp. 57-76 ◽  
Author(s):  
Aleksander Simonič
Keyword(s):  
Matrix Groups

Quasiclassical limit in the bremsstrahlung problem

1976 ◽  
Vol 28 (2) ◽  
pp. 730-736 ◽  
Author(s):  
D. V. Gal'stov ◽  
Yu. V. Grats
Keyword(s):  
Quasiclassical Limit

scholarly journals Generation of Certain Matrix Groups by Three Involutions, Two of Which Commute

1997 ◽  
Vol 195 (2) ◽  
pp. 650-661 ◽  
Author(s):  
M.C. Tamburini ◽  
P. Zucca
Keyword(s):  
Matrix Groups

scholarly journals On matrix groups with finite spectrum

1999 ◽  
Vol 286 (1-3) ◽  
pp. 287-295 ◽  
Author(s):  
Grega Cigler
Keyword(s):  
Finite Spectrum ◽  
Matrix Groups

The History, Classes and Presentations of Groups

2012 ◽  
Vol 430-432 ◽  
pp. 834-837
Author(s):  
Xiao Qiang Guo ◽  
Zheng Jun He
Keyword(s):  
Group Theory ◽  
Algebraic Groups ◽  
Transformation Groups ◽  
Combinatorial Group Theory ◽  
Algebraic Equations ◽  
Historical Sources ◽  
Matrix Groups ◽  
History Of ◽  
History Classes ◽  
Combinatorial Group

First we introduce the history of group theory. Group theory has three main historical sources: number theory, the theory of algebraic equations, and geometry. Secondly, we give the main classes of groups: permutation groups, matrix groups, transformation groups, abstract groups and topological and algebraic groups. Finally, we give two different presentations of a group: combinatorial group theory and geometric group theory.

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