caa a22 4500 44532032X CHVBK 20180317142701.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00023-011-0078-3 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0078-3 Homogeneous Schrödinger Operators on Half-Line [Elektronische Daten] [Laurent Bruneau, Jan Dereziński, Vladimir Georgescu] The differential expression $${L_m=-\partial_x^2+(m^2-1/4)x^{-2}}$$ defines a self-adjoint operator H m on L 2(0, ∞) in a natural way when m 2≥1. We study the dependence of H m on the parameter m show that it has a unique holomorphic extension to the half-plane Re m >−1, and analyze spectral and scattering properties of this family of operators. Springer Basel AG, 2011 Bruneau Laurent Department of Mathematics and UMR 8088 CNRS, University of Cergy-Pontoise, 95000, Cergy-Pontoise, France aut Dereziński Jan Department of Mathematical Methods in PhysicsFaculty of Physics, University of Warsaw, Hoża 74, 00-682, Warsaw, Poland aut Georgescu Vladimir CNRS and University of Cergy-Pontoise, 95000, Cergy-Pontoise, France aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/3(2011-04-01), 547-590 1424-0637 12:3<547 2011 12 23 https://doi.org/10.1007/s00023-011-0078-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0078-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bruneau Laurent Department of Mathematics and UMR 8088 CNRS, University of Cergy-Pontoise, 95000, Cergy-Pontoise, France aut NATIONALLICENCE 700 1- Dereziński Jan Department of Mathematical Methods in PhysicsFaculty of Physics, University of Warsaw, Hoża 74, 00-682, Warsaw, Poland aut NATIONALLICENCE 700 1- Georgescu Vladimir CNRS and University of Cergy-Pontoise, 95000, Cergy-Pontoise, France aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/3(2011-04-01), 547-590 1424-0637 12:3<547 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer