47 citations · 344 across the 29 of their papers we have counts for
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Potential Scattering in Dirac Field Theory
S. De Leo, P. Rotelli
We develop the potential scattering of a spinor within the context of perturbation field theory. As an application, we reproduce, up to second order in the potential, the diffusion…
Fermion-Fermion Bound State Condition for Scalar Exchanges
Stefano De Leo, Pietro Rotelli
The condition for the existence of a bound state between two fermions exchanging massive scalars is derived. For low scalar mass, we reproduce the scalar field model result. The hi…
Bound State Inequality for High Mass Exchanges in a Scalar Field Model
Stefano De Leo, Pietro Rotelli
Ladder diagrams are relevant for the study of bound states. The condition upon the coupling strength for the existence of a bound state has been deduced in a scalar field theory fo…
Barrier Paradox in the Klein Zone
Stefano De Leo, Pietro Rotelli
We study the solutions for a one-dimensional electrostatic potential in the Dirac equation when the incoming wave packet exhibits the Klein paradox (pair production). With a barrie…
Amplification of coupling for Yukawa potentials
S. De Leo, P. Rotelli
It is well known that Yukawa potentials permit bound states in the Schrodinger equation only if the ratio of the exchanged mass to bound mass is below a critical multiple of the co…
Quaternionic Lorentz group and Dirac equation
Stefano De Leo
We formulate Lorentz group representations in which ordinary complex numbers are replaced by linear functions of real quaternions and introduce dotted and undotted quaternionic one…
Quaternionic Groups in Physics: A Panoramic Review
S. De Leo, G. Ducati
Due to the non-commutative nature of quaternions we introduce the concept of left and right action for quaternionic numbers. This gives the opportunity to manipulate appropriately…