Physics – Mathematical Physics
Scientific paper
2003-05-22
Journal of Physics A: Mathematical and General, volume 36, issue 44 (2003) 11285 - 11297
Physics
Mathematical Physics
Scientific paper
10.1088/0305-4470/36/44/008
We consider the following first order systems of mathematical physics. 1.The Dirac equation with scalar potential. 2.The Dirac equation with electric potential. 3.The Dirac equation with pseudoscalar potential. 4.The system describing non-linear force free magnetic fields or Beltrami fields with nonconstant proportionality factor. 5.The Maxwell equations for slowly changing media. 6.The static Maxwell system. We show that all this variety of first order systems reduces to a single quaternionic equation the analysis of which in its turn reduces to the solution of a Schroedinger equation with biquaternionic potential. In some important situations the biquaternionic potential can be diagonalized and converted into scalar potentials.
Kravchenko Viktor G.
Kravchenko Vladislav V.
No associations
LandOfFree
Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-41314