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math-ph2003
On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
Sergei M. Grudsky, Kira V. Khmelnytskaya, Vladislav V. Kravchenko
Maxwell's equations for the time-dependent electromagnetic field in a homogeneous chiral medium are reduced to a single quaternionic equation. Its fundamental solution satisfying t…
math-ph2003
Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics
Viktor G. Kravchenko, Vladislav V. Kravchenko
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 equatio…