We study the thermal entanglement in the two-qubit anisotropic XXZ model and the Heisenberg model with Dzyaloshinski– Moriya (DM) interactions. The DM interaction is another kind of anisotropic antisymmetric exchange interaction. The effects of these two kinds of anisotropies on the thermal entanglement are studied in detail for both the antiferromagnetic and ferromagnetic cases.  2001 Elsevie...

We study a supersymmetric extension of the Virasoro algebra on the boundary of the anti-de Sitter space-time AdS3. Using the free field realization of the currents, we show that the world-sheet affine Lie superalgebras osp(1|2)(1), sl(1|2)(1) and sl(2|2)(1) provide the boundary N = 1, 2 and 4 extended superconformal algebras, respectively. The duality between the type IIB string theory on AdS3 ...

We study a supersymmetric extension of the Virasoro algebra on the boundary of the anti-de Sitter space-time AdS3. Using the free field realization of the currents, we show that the world-sheet affine Lie superalgebras osp(1|2)(1), sl(1|2)(1) and sl(2|2)(1) provide the boundary N = 1, 2 and 4 extended superconformal algebras, respectively. The duality between the type IIB string theory on AdS3 ...

Let g1(ω), g2(ω), . . . , gn(ω) be independent and normally distributed random variables with mean zero and variance one. We show that, for large values of n, the expected number of times the random hyperbolic polynomial y = g1(ω) coshx + g2(ω) cosh 2x + · · · + gn(ω) coshnx crosses the line y = L, where L is a real number, is 1 π logn+ O(1) if L = o( √ n) or L/ √ n = O(1), but decreases steadi...

Recently, we found that the CB-splines that use basis {sin t, cos t, t,1} and the HB-splines that use basis {sinh t, cosh t, t,1} could be unified into a complete curve family, named FB-splines (Zhang and Krause, 2005). FB-splines are a scheme of what we call here F-curves. This paper explains that in the domain of complex numbers, the extended C-curves and extended H-curves are the same curves...

Urm1 is a unique dual-function member of the ubiquitin protein family and conserved from yeast to man. It acts both as a protein modifier in ubiquitin-like urmylation and as a sulfur donor for tRNA thiolation, which in concert with the Elongator pathway forms 5-methoxy-carbonyl-methyl-2-thio (mcm5s2) modified wobble uridines (U34) in anticodons. Using Saccharomyces cerevisiae as a model to stud...