2014 The electron spin-lattice relaxation time T1 of V4+ in amorphous V2O5 has been measured in the X-band between 1.4 K and 100 K : T1-1 = 39 T2 $$ ~056/T x dx sinh x We explain this behaviour using a process requiring one two-level system (T.L.S.) modulating the crystal field, and one phonon. The characteristic temperature 56 K must be associated not with the maximum energy of the T.L.S. but ...

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We discuss an application of the method of the angular quantization to reconstruction of form-factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and Bullough-Dodd models. For the latter two models the angular quantization approach makes it possible to obtain free field representations for form-factors of expo...

Using Watson’s and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field φ(x) and the stress-energy tensor Tμν(x) of Sinh-Gordon theory. Form factors of operators with higher spin or with different asymptotic behaviour can easily be deduced from them. The value of the correlation function...

A recently proposed local Fukui function is used to predict the binding site of atomic hydrogen on silicon clusters. To validate the predictions, an extensive search for the more stable SinH (n=3-10) clusters has been done using a modified genetic algorithm. In all cases, the isomer predicted by the Fukui function is found by the search, but it is not always the most stable one. It is discussed...

The recently proposed all orders βeta function is further investigated. By using a strong-weak coupling duality of the βeta function, and some added topology of the space of couplings we are able to extend the flows to arbitrarily large or small scales. Using a non-trivial RG invariant we are able to identify sine-Gordon, sinh-Gordon and Kosterlitz-Thouless phases. We also find an additional ph...

In this paper we consider affine Toda systems defined on the half–plane and study the issue of integrability, i.e. the construction of higher–spin conserved currents in the presence of a boundary perturbation. First at the classical level we formulate the problem within a Lax pair approach which allows to determine the general structure of the boundary perturbation compatible with integrability...

Exact and explicit string solutions in de Sitter spacetime are found. (Here, the string equations reduce to a sinh-Gordon model). A new feature without flat spacetime analogy appears: starting with a single world-sheet, several (here two) strings emerge. One string is stable and the other (unstable) grows as the universe grows. Their invariant size and energy either grow as the expansion factor...

The function g (which contains the singular part of the free energy) must have a special symmetry that relates its values for dual arguments. (For example the function f(x) = x/(1 + x) equals f(x), establishing a duality between the arguments at x and x.) Eq.(VI.23) has the following properties: 1. Low temperatures are mapped to high temperatures, and vice versa. 2. The mapping connects pairs o...

The structure of integrable field theories in the presence of jump defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and fermionic theories are considered. In particular, the boundary functions for the N = 1 and N = 2 super sinh-Gordon models are constructed and shown to generate the Backlund transformations for its soliton solution...