Published December 2001 | Version v1
Journal article Metadata-only

q-power function overq-commuting variables and deformed XXX and XXZ chains

Creators

  • 1. Institute for Theoretical and Experimental Physics, Moscow (Russian Federation)
  • 2. Department of Mathematics, University of Goeteborg, Goeteborg (Sweden)
  • 3. Institute of Nuclear Physics, Moscow State University, Moscow (Russian Federation)

Description

We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum affine algebra Uq(sl-circumflex2) and of the Yangian Y(sl2). We determine the corresponding deformed trigonometric and rational quantum R matrices, which then are used in the computation of deformed XXX and XXZ Hamiltonians

Additional details

Identifiers

DOI
10.1134/1.1432921;

Publishing Information

Journal Title
Physics of Atomic Nuclei
Journal Volume
64
Journal Issue
12
Journal Page Range
p. 2173-2178
ISSN
1063-7788
CODEN
PANUEO

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35071498
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Translation
Descriptors DEI
FIELD ALGEBRA; GAUSS FUNCTION; HAMILTONIANS; QUANTUM GROUPS; R MATRIX; U GROUPS
Descriptors DEC
FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MATRICES; QUANTUM OPERATORS; SYMMETRY GROUPS

Optional Information

Notes
Translated from Yadernaya Fizika, ISSN 0044-0027, 64, 2262-2267 (No. 12, 2001); (c) 2001 MAIK ''Nauka / Interperiodica''.