27 citations · 30 across the 5 of their papers we have counts for
4 papers · 1 filter
Relativistic harmonic oscillator
D. Babusci, G. Dattoli, M. Quattromini +1
We consider the relativistic generalization of the harmonic oscillator problem by addressing different questions regarding its classical aspects. We treat the problem using the for…
Dirac factorization and fractional calculus
D. Babusci, G. Dattoli, M. Quattromini +1
We show that the Dirac factorization method can be successfully employed to treat problems involving operators raised to a fractional power. The technique we adopt is based on an e…
The Parabolic-Trigonometric Functions
G. Dattoli, M. Migliorati, M. Quattromini +1
The parabolic functions are introduced in analogy to the circular and hyperbolic cases. We discuss the relevant properties, the geometrical interpretation and touch on possible gen…
Relativistic equations with fractional and pseudo-differential operators
D. Babusci, G. Dattoli, M. Quattromini
In this paper we use different techniques from the fractional and pseudo-operators calculus to solve partial differential equations involving operators with non integer exponents.…