1 citations · 2 across the 4 of their papers we have counts for
5 papers
Quaternionic bound states
Stefano De Leo, Gisele Ducati
We study the bound-state solutions of vanishing angular momentum in a quaternionic spherical square-well potential of finite depth. As in the standard quantum mechanics, such solut…
Comments on the Matrix Representations of Quaternions
Gisele Ducati
Some comments are made on the matrices which serve as the basis of a quaternionic algebra. We show that these matrices are related with the quaternionic action of the imaginary uni…
Real linear quaternionic operators
Stefano De Leo, Gisele Ducati
In a recent paper [J.Math.Phys. vol42, 2236-2265 (2001)], we discussed differential operators within a quaternionic formulation of quantum mechanics. In particular, we proposed a p…
Quaternionic commutations
N. Cohen, S. De Leo, G. Ducati
Given n quaternions we investigate the extent of non-commutativity of their multiple products, commutators and exponential products.
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…