For a fixed Wilson parameter, r (usually equal to one) doublers may reappear as at is made small, which hinders simulations with at ≪ as. The solution proposed here is to treat the temporal and spatial directions differently. The temporal rotations are retained since such one-hop improvement terms ensure the transfer matrix is positive definite and no “ghost” states can propagate. Thus Eqs. 1 a...

We consider GL(K|M)-invariant integrable supersymmetric spin chains with twisted boundary conditions and elucidate the role of Bäcklund transformations in solving the difference Hirota equation for eigenvalues of their transfer matrices. The nested Bethe ansatz technique is shown to be equivalent to a chain of successive Bäcklund transformations " undressing " the original problem to a trivial ...

We use the braid-monoid algebra to construct integrable mixed vertex models. The transfer matrix of a mixed SU (N) model is diagonalized by nested Bethe ansatz approach.

We construct various periodic travelling wave solutions of the Ostrovsky/HunterSaxton/short pulse equation and its KdV regularized version. For the regularized short pulse model with small Coriolis parameter, we describe a family of periodic travelling waves which are a perturbation of appropriate KdV solitary waves. We show that these waves are spectrally stable. For the short pulse model, we ...

The eigenvalues of the elliptic N-body Ruijsenaars operator are obtained by a dynamical version of the algebraic nested Bethe ansatz method. The result is derived by using the construction given in [1], where the Ruijsenaars operator was obtained as the transfer matrix associated to the symmetric power of the vector representation of the elliptic quantum group Eτ,γ(glN ).

5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

We present a self-contained discussion of the use of the transfer-matrix formalism to study onedimensional scattering. We elaborate on the geometrical interpretation of this transfer matrix as a conformal mapping on the unit disk. By generalizing to the unit disk the idea of turns, introduced by Hamilton to represent rotations on the sphere, we develop a method to represent transfer matrices by...

By using a decomposition of the transfer matrix of the two dimensional q-state Potts Model to V ′ 1 and V 2 its determinant is calculated. Our result is a proof for a conjectured formula by Chang and Shrock in [14].

We apply Nelson’s technique of constructing Euclidean fields to the case of classical scalar fields on curved spaces. It is shown how to construct a transfer matrix and, for a class of metrics, the basic spectral properties of its generator are investigated. An application concerning decoupling of non-convex disjoint region is given.

An efficient method for evaluating inner products of repeated integrals and derivatives of a function described by a Laguerre model is presented. An immediate and promising application is model reduction of infinite-dimensional transfer functions. r 2004 Elsevier B.V. All rights reserved.