De Leo, Giardino: Dirac solutions for quaternionic potentials

Stefano De Leo1,a) and Sergio Giardino1,b)
a), b)
J. Math. Phys. 55, 022301 (2014);

Abstract: The Dirac equation is solved for quaternionic potentials, i  V 0 + j  W 0 ( ). The study shows two different solutions. The first one contains particle and anti-particle solutions and leads to the diffusion, tunneling, and Klein energy zones. The standard solution is recovered taking the complex limit of this solution. The second solution, which does not have a complex counterpart, can be seen as a V 0-antiparticle or |W 0|-particle solution.V0∈R,W0∈C.
Source:, Email from, 14 Mar. 2014.

Leave a comment

Filed under publications

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s