362 research outputs found
Nae too bad: a survey of job satisfaction, staff morale and qualifications in residential child care in Scotland
The report of the National Children’s Bureau study of staff morale, qualifications and retention in England (Mainey, 2003) rightly highlighted a number of crucial issues facing providers of residential child care. Entitled Better Than You Think the key finding was that the rates of morale and job satisfaction were not low despite the adverse environment in which residential care operates. Residential care in the modern world is intended to be mainly a temporary placement for some of the most demanding young people who require out-of-home care. However, as with foster care, significant numbers of young people are spending years in out-of-home care and many residential services have to accommodate a wide variety of needs within a single unit. This general remit is challenging enough but the sector also continues to struggle with the aftermath of a number of high profile public inquiries which have identified instances of abuse of children and young people in residential care (Kent, 1997; Utting, 1997; Waterhouse, 2000)
The Classical -Matrix for the Relativistic Ruijsenaars-Schneider System
We compute the classical -matrix for the relativistic generalization of
the Calogero-Moser model, or Ruijsenaars-Schneider model, at all values of the
speed-of-light parameter . We connect it with the non-relativistic
Calogero-Moser -matrix and the
sine-Gordon soliton limit.Comment: LaTeX file, no figures, 8 page
On the r-matrix structure of the hyperbolic BC(n) Sutherland model
Working in a symplectic reduction framework, we construct a dynamical
r-matrix for the classical hyperbolic BC(n) Sutherland model with three
independent coupling constants. We also examine the Lax representation of the
dynamics and its equivalence with the Hamiltonian equation of motion.Comment: 20 page
On the scattering theory of the classical hyperbolic C(n) Sutherland model
In this paper we study the scattering theory of the classical hyperbolic
Sutherland model associated with the C(n) root system. We prove that for any
values of the coupling constants the scattering map has a factorized form. As a
byproduct of our analysis, we propose a Lax matrix for the rational C(n)
Ruijsenaars-Schneider-van Diejen model with two independent coupling constants,
thereby setting the stage to establish the duality between the hyperbolic C(n)
Sutherland and the rational C(n) Ruijsenaars-Schneider-van Diejen models.Comment: 15 page
Spin chains from dynamical quadratic algebras
We present a construction of integrable quantum spin chains where local
spin-spin interactions are weighted by ``position''-dependent potential
containing abelian non-local spin dependance. This construction applies to the
previously defined three general quadratic reflection-type algebras:
respectively non-dynamical, semidynamical, fully dynamical.Comment: 12 pages, no figures; v2: corrected formulas of the last sectio
Structures in BC_N Ruijsenaars-Schneider models
We construct the classical r-matrix structure for the Lax formulation of BC_N
Ruijsenaars-Schneider systems proposed in hep-th 0006004. The r-matrix
structure takes a quadratic form similar to the A_N Ruijsenaars-Schneider
Poisson bracket behavior, although the dynamical dependence is more
complicated. Commuting Hamiltonians stemming from the BC_N
Ruijsenaars-Schneider Lax matrix are shown to be linear combinations of
particular Koornwinder-van Diejen ``external fields'' Ruijsenaars-Schneider
models, for specific values of the exponential one-body couplings. Uniqueness
of such commuting Hamiltonians is established once the first of them and the
general analytic structure are given.Comment: 18 pages, gzip latex fil
Parametrization of semi-dynamical quantum reflection algebra
We construct sets of structure matrices for the semi-dynamical reflection
algebra, solving the Yang-Baxter type consistency equations extended by the
action of an automorphism of the auxiliary space. These solutions are
parametrized by dynamical conjugation matrices, Drinfel'd twist representations
and quantum non-dynamical -matrices. They yield factorized forms for the
monodromy matrices.Comment: LaTeX, 24 pages. Misprints corrected, comments added in Conclusion on
construction of Hamiltonian
Quantum Dynamical - Matrix with Spectral Parameter from Fusion
A quantum dynamical -matrix with spectral parameter is constructed
by fusion procedure. This spin-1 -matrix is connected with Lie
algebra and does not satisfy the condition of translation invariance.Comment: 6 pages, LaTeX, no figure
The sine-Gordon model with integrable defects revisited
Application of our algebraic approach to Liouville integrable defects is
proposed for the sine-Gordon model. Integrability of the model is ensured by
the underlying classical r-matrix algebra. The first local integrals of motion
are identified together with the corresponding Lax pairs. Continuity conditions
imposed on the time components of the entailed Lax pairs give rise to the
sewing conditions on the defect point consistent with Liouville integrability.Comment: 24 pages Latex. Minor modifications, added comment
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