Couverture / Jaquette

This book introduces the scattering theory of nonrelativistic systems, a standard tool for interpreting collision experiments with quantum particles at energies not too high. The goal is to explore the interaction between particles and their properties. The authors cover the basics of the theory through a detailed discussion of elastic scattering using the stationary Schrödinger equation and the Lippmann-Schwinger equation. These remarks are supplemented by a consideration of the time-dependent formulation of scattering theory. Selection rules for effective cross sections due to symmetries conditioned by the structure of the interparticle forces and the scattering of spin-polarized particles are discussed. The foundations for the treatment of inelastic processes are laid and explained by application to three-body and nucleotransfer processes.In all chapters, the more technical, mathematical aspect and the more physics-oriented explanations are separated as far as possible. The explanations are well comprehensible and suitable to introduce the reader to the physics of impact processes.

Note biographique

Reiner M. Dreizler

Studied physics in Freiburg/Breisgau (Diploma) and at the Australian National University, Canberra (Ph.D.). Research Associate and Assistant Professor at the University of Pennsylvania in Philadelphia. Professor of Theoretical Physics at the Goethe University, Frankfurt/Main. Holder of the S. Lyson Endowed Professorship until retirement. Member DPG, EPS, Fellow APS. Field of research: many-body systems of quantum mechanics.

Tom Kirchner

Studied physics at Goethe University, Frankfurt/M (diploma and doctorate). Postdoctoral researcher at York University, Toronto, Canada and at the Max Planck Institute for Nuclear Physics, Heidelberg. After a junior professorship in Theoretical Physics at TU Clausthal, return to York University, first as Assistant Professor, currently as Associate Professor. Member DPG, CAP, Fellow APS. Field of work: quantum dynamics of multi-particle coulomb systems, in particular atomic scattering processes.

Cora S. Lüdde

Studied physics at the Goethe University, Frankfurt/Main (diploma). After family break, re-entry into physics and computer science with focus on computer arithmetics. Experience and further education in didactics. Member of DPG. Field of work: application-oriented programming, creation of physics didactic software.

Fonctionnalité

Dieses Buch führt in die Streutheorie nichtrelativistischer Systeme ein, einem Standardwerkzeug zur Interpretation von Kollisionsexperimenten mit Quantenteilchen bei nicht zu hohen Energien. Das Ziel ist die Erforschung der Wechselwirkung zwischen den Teilchen und deren Eigenschaften. Die Autoren behandeln die Grundlagen der Theorie durch eine ausführliche Diskussion der elastischen Streuung anhand der stationären Schrödingergleichung und der Lippmann-Schwinger Gleichung. Ergänzt werden diese Ausführungen durch die Betrachtung der zeitabhängigen Formulierung der Streutheorie. Auswahlregeln für die Wirkungsquerschnitte aufgrund von Symmetrien bedingt durch die Struktur der Kräfte zwischen den Teilchen und die Streuung von spinpolarisierten Teilchen werden besprochen. Die Grundlagen für die Behandlung von inelastischen Prozessen werden gelegt und durch Anwendung auf Dreikörper- und Nukleotransferprozesse erläutert.

Table des matières

1 Elastic scattering: stationary formulation - differential equations.- 2 Elastic scattering: stationary formulation - integral equations.- 3 Elastic scattering: time-dependent formulation.- 4 Conservation laws in scattering theory.- 5 Elastic scattering: the analytical structure of the S-matrix.- 6 Elastic scattering with spin-polarized particles.- 7 Remarks on multichannel problems.- Bibliography.

Détails