40 citations · 396 across the 36 of their papers we have counts for
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Four-dimensional conformal field theory using quaternions
Sergio Giardino
We build a four-dimensional quaternion-parametrized conformal field theory (QCFT) using quaternion holomorphic functions as the generators of quaternionic conformal transformations…
Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
Sergio Giardino, Victor Rivelles
Using the WKB approximation we analyse the tunnelling of a pulsating string in deformed Minkowski spacetime.
Möbius transformation for left-derivative quaternion holomorphic functions
Sergio Giardino
Holomorphic quaternion functions only admit affine functions; thus, the Möbius transformation for these functions, which we call quaternionic holomorphic transformation (QHT), only…
Quaternioninc Dirac Scattering
Stefano De Leo, Gisele Ducati, Sergio Giardino
The scattering of a Dirac particle has been studied for a quaternionic potential step. In the potential region an additional diffusion solution is obtained. The quaternionic soluti…
Quaternionic particle in a relativistic box
Sergio Giardino
This study examines Quaternion Dirac solutions for an infinite square well. The quaternion result does not recover the complex result within a particular limit. This raises the pos…