This article is one of a series of papers. For this decade, the Dirac operator on a submanifold has been studied as a restriction of the Dirac operator in n-dimensional euclidean space E n to a surface or a space curve as physical models. These Dirac operators are identified with operators of the Frenet-Serret relation for a space curve case and of the generalized Weierstrass relation for a con...

This article is one of squeal papers. For this decade, I have been studying the Dirac operator on a submanifold as a restriction of the Dirac operator in E n to a surface or a space curve as physical models. These Dirac operators are identified with operators of the Frenet-Serret relation for a space curve case and of the generalized Weierstrass relation for a conformal surface case and complet...

This article is one of squeal papers. For this decade, the Dirac operator on a submanifold has been studied as a restriction of the Dirac operator in E n to a surface or a space curve as physical models. These Dirac operators are identified with operators of the Frenet-Serret relation for a space curve case and of the generalized Weierstrass relation for a conformal surface case and completely ...

The generalized Dirac equation of the third order, describing particles with spin 1/2 and three mass states, is analyzed. We obtain the first order generalized Dirac equation in the 24-dimensional matrix form, and the density of the electromagnetic current. Minimal and non-minimal (anomalous) electromagnetic interactions of fermions are considered by introducing three phenomenological parameter...

We study a new class of numerical solutions for the Dirac equation, considering electric potentials depending upon one spacial variable, based on the numerical approaching of the Taylor series in formal powers, solutions of a biquaternionic Vekua equation. Furthermore, employing the solutions of the Dirac equation, we plot the probability functions that describe the dynamics of the quantum part...