The home page of Erik Skibsted

• Asymptotic absolute continuity for perturbed time-dependent quadratic Hamiltonians, Proc. Indian Acad. Sci. (Math. Sci.), 112 no. 1 (2002), 209-228, here.ps
• Quantum scattering for potentials homogeneous of degree zero (with Ira Herbst),  Contemporary Mathematics, 307 (2002), 163-169,  here.ps
• Long-range scattering of three-body quantum systems: Asymptotic completeness,  Invent. Math., 151 (2003), 65-99,  here.ps
• Long-range scattering of three-body quantum systems, II, Ann. Henri Poincar\'e, 4 (2003), 1-25,  here.ps
• Quantum scattering for potentials independent of |x|: Asymptotic completeness for high and low energies (with Ira Herbst),  Comm. PDE {\bf 29}, no. 3-4 (2004), 547-610, here.pdf
• Spectral theory of time-periodic many-body systems (with Jacob Schach Møller),  Adv. Math. {\bf 188}, no.~1 (2004), 137--221, here
• Spiraling attractors and quantum dynamics for a class of long-range magnetic fields (with Horia Cornean and Ira Herbst),  J. Funct. Anal. {\bf 247} (2007), 1-94, here.pdf
• Zero energy asymptotics of the resolvent for a class of slowly decaying potentials (with Søren Fournais),  Math. Z. {\bf 248}, no. 3 (2004), 593--633, here
• Zero energy asymptotics of the resolvent in the long-range case (with Søren Fournais) ,  XIVth International Congress on Mathematical Physics, World Scientific Publishing Co, (2005), 611--618, here.ps
• Absence of quantum states corresponding to unstable classical channels (with Ira Herbst),  Ann. Henri Poincar\'e {\bf 9} (2008), 509-552, here.pdf
• Classical scattering at low energies (with Jan Derezinski), in Perspectives in Operator Algebras and Mathematical Physics, Theta Series in Advanced Mathematics {\bf 8} (2008), 51-83, here.pdf
• Quantum scattering at low energies (with Jan Derezinski), J. Funct. Anal. {\bf 257} (2009), 1828-1920, here.pdf
• Scattering at zero energy for attractive homogeneous potentials (with Jan Derezinski), Ann. Henri Poincar\'e {\bf 10} (2009), 549-571, here.pdf
• Long-range scattering at low energies (with Jan Derezinski), Spectral and Scattering Theory and Related Topics, RIMS publication No.: 7, 2006, 104--108, here.pdf
• Classical and quantum dynamics for 2D-electromagnetic potentials asymptotically homogeneous of degree zero (with Horia Cornean and Ira Herbst), preprint http://arxiv.org/abs/math-ph/0703089, here.pdf
• Analyticity estimates for the Navier-Stokes equations (with Ira Herbst), Adv. Math. {\bf 228} no. 4, 2011, 1990--2033, here.pdf
• Two-body threshold spectral analysis, the critical case (with X.P. Wang), J. Funct. Anal. {\bf 260} (2011), 1766--1794, here.pdf
• Regularity of bound states (with J. Faupin and J.S. Møller), Reviews in Mathematical Physics {\bf 23} no. 5 2011, 453--530, here.pdf
• Second order perturbation theory for embedded eigenvalues (with J. Faupin and J.S. Møller), Comm. Math. Phys. {\bf 306} no.1 2011, 193--228, here.pdf
• Global solutions to the eikonal equation (with J. Cruz-Sampedro), Aarhus University preprint 2011, 35 pp, submitted, here.pdf
• Sommerfeld radiation condition at threshold, Aarhus University preprint 2011, 22 pp, submitted, here.pdf
• Sommerfeld radiation condition at threshold, for RIMS proceedings 2011, 6 pp, here.pdf
• Absence of embedded eigenvalues for Riemannian Laplacians (with K. Ito), Aarhus University preprint 2011, 16 pp, submitted, here.pdf
• Scattering theory for Riemannian Laplacians (with K. Ito), Aarhus University preprint 2011, 36 pp, submitted, here.pdf
• Renormalized two-body low-energy scattering, Aarhus University preprint 2012, 33 pp, here.pdf