NParticle Scattering in a Constant Magnetic Field
Abstract
We develop the scattering theory for quantum many particle systems in constant magnetic fields. Scattering theory studies the largetime asymptotic behaviour of the solutions of the timedependent Schrodinger equation. Its main task is proving asymptotic completeness, i.e., giving a classification of all orbits according to their large time behaviour. For N interacting quantum particles, one expects that the system either remains stable or breaks up into independent and stable subsystems. In the first part of the thesis we prove asymptotic completeness for one particle and for neutral twobody systems with longrange potentials. In the second part we present the result obtained jointly with C. Gerard asymptotic completeness for Nparticle systems of arbitrary total charge containing no neutral proper subsystems, with longrange interactions.
 Publication:

Ph.D. Thesis
 Pub Date:
 1994
 Bibcode:
 1994PhDT.......178L
 Keywords:

 QUANTUM PARTICLES;
 Mathematics; Physics: Elementary Particles and High Energy