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Quaternionic fermionic field
Sergio Giardino
The second quantization of the quaternionic fermionic field is undertaken using the real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM). The solution res…
Attenuated gravitational radiation
Sergio Giardino
The hypothesis of an alternative way of obtaining gravitational waves is the physical motivation of this article. Using the linear field approximation and a symmetry transformation…
Quaternionic scalar field in the real Hilbert space
Sergio Giardino
Using the complex Klein-Gordon field as a model, we quantize the quaternionic scalar field in the real Hilbert space. The lagrangian formulation has accordingly been obtained, as w…
Winding number and homotopy for quaternionic curves
Sergio Giardino
Following a recent approach to quaternionic curves, we defined the quaternionic polar angle that enabled us to define global properties of quaternionic curves, namely the winding n…