Nuclear many-body continuum states and their boundary conditions in a collective-coordinate representation [Elektronische Ressource] : resonances and phase shifts in fermionic molecular dynamics / von Alberto Cribeiro Santalla

Nuclear Many-Body Continuum Statesand their Boundary Conditionsin a Collective-Coordinate RepresentationResonances and Phase Shifts in FermionicMolecularDynamicsVom Fachbereich Physikder Technischen Universit¨at Darmstadtzur Erlangung des Gradeseines Doktors der Naturwissenschaften(Dr. rer. nat.)genehmigte Dissertation vonLic. Alberto Cribeiro Santallaaus Nar´onDarmstadt 2005D17Referent: Prof. Dr. H. Feldmeier1. Korreferent: Prof. Dr. R. Roth2. Korreferent: Prof. Dr. K. LangankeTag der Einreichung: 24.5.2005Tag der Pru¨fung: 11.7.2005All truths are easy to understand once they are discovered;the point is to discover them.Galileo GalileiiiiivContentsContents vZusammenfassung 1Introduction 31 Schematic Model 71.1 Statement of the problem . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.1.1 Physical situations and boundary conditions . . . . . . . . . . . . . 71.1.2 Eigenvalue problem with boundary conditions . . . . . . . . . . . . 81.2 Gamov Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.2.1 Characterization of a decay process . . . . . . . . . . . . . . . . . . 111.2.2 Boundary conditions for the decay . . . . . . . . . . . . . . . . . . 131.3 Boundary conditions in a grid . . . . . . . . . . . . . . . . . . . . . . . . . 141.3.1 One-dimensional grid in coordinate space . . . . . . . . . . . . . . . 141.3.2 Spherical plane wave . . . . . . . . . . . . . . . . . . . . . . . . . . 151.3.