arXiv:1002.3756v1 [nucl-th] 19 Feb 2010 Variational description of continuum states in terms of integral relations Two integral relations derived from the Kohn Variational Principle (KVP) are used for describing scattering states. In usual applications the KVP requires the explicit form of the asymptotic behavior of the scattering wave function. This is not the case when the integral relations are applied since, due to their short range nature, the only condition for the scattering wave function Ψ is that it be the solution of ( H − E )Ψ = 0 in the internal region. Several examples are analyzed for the computation of phase-shifts from bound state type wave functions or, in the case of the scattering of charged particles, it is possible to obtain phase-shifts using free asymptotic conditions. As a final example we discuss the use of the integral relations in the case of the Hyperspherical Adiabatic method. Paolo Barletta A. Kievsky and M. Viviani Abstract 1 Istituto Nazionale di Fisica Nucleare, Largo Pontecorvo 3, 56100 Pisa, Italy Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom C. Romero-Redondo and E. Garrido Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid, Spain