TY - CHAP A1 - Kravchenko, Viktor A1 - Kravchenko, Vladislav T1 - On the Factorization of the Schrödinger Operator and Its Applications for Studying Some First Order Systems of Mathematical Physics N2 - With the aid of factorization of the Schrödinger operator by quaternionic differential operators of first order proposed in recent works by S. Bernstein and K. Gürlebeck we study the system describing forcefree magnetic fields with nonconstant proportionality factor, the static Maxwell system for inhomogeneous media, the Beltrami condition and the Dirac equation with different types of potentials depending on one variable. We obtain integral representations for solutions of these systems. KW - Mathematische Physik KW - Faktor KW - Hamilton-Operator KW - Quaternion KW - Differentialoperator Y1 - 2003 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-3251 ER -