Effective Schroedinger equations for nonlocal and/or dissipative systems
Abstract
The projection formalism for calculating effective Hamiltonians and resonances is generalized to the nonlocal and/or nonhermitian case, so that it is applicable to the reduction of relativistic systems (BetheSalpeter equations), and to dissipative systems modeled by an optical potential. It is also shown how to recover all solutions of the timeindependent Schroedinger equation in terms of solutions of the effective Schroedinger equation in the reduced state space and a Schroedinger equation in a reference state space. For practical calculations, it is important that the resulting formulas can be used without computing any projection operators. This leads to a modified coupled reaction channel/resonating group method framework for the calculation of multichannel scattering information.
 Publication:

arXiv eprints
 Pub Date:
 January 2002
 DOI:
 10.48550/arXiv.hepth/0201085
 arXiv:
 arXiv:hepth/0201085
 Bibcode:
 2002hep.th....1085N
 Keywords:

 High Energy Physics  Theory
 EPrint:
 26 pages