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math.FA2018
Fractional powers of vector operators and fractional Fourier's law in a Hilbert space
Fabrizio Colombo, Jonathan Gantner
In this paper we give a concrete application of the spectral theory based on the notion of -spectrum to fractional diffusion process. Precisely, we consider the Fourier law for…
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…