2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.FA2017
On the Equivalence of Complex and Quaternionic Quantum Mechanics
Jonathan Gantner
Due to the existence of incompatible observables, the propositional calculus of a quantum system does not form a Boolean algebra but an orthomodular lattice. Such lattice can be re…
math.SP2016
A direct approach to the S-functional calculus for closed operators
Jonathan Gantner
The -functional calculus for slice hyperholomorphic functions generalizes the Riesz-Dunford-functional calculus for holomorphic functions to quaternionic linear operators and to…
math.SP2015★ 2 cited
Functions of the infinitesimal generator of a strongly continuous quaternionic group
Daniel Alpay, Fabrizio Colombo, Jonathan Gantner +1
The analogue of the Riesz-Dunford functional calculus has been introduced and studied recently as well as the theory of semigroups and groups of linear quaternionic operators. In t…