7 citations · 23 across the 10 of their papers we have counts for
10 papers
The quantum harmonic oscillator and the real Hilbert space
Sergio Giardino
The harmonic oscillator is considered within generalized frameworks using complex and quaternionic numbers. The classical oscillator is considered in terms of a complex position fu…
Deformed angular momentum algebra within the real Hilbert space
Sergio Giardino
Starting from generalized position operators, we derive complex and quaternionic angular momentum operators along with their commutation algebra as well. These algebras differ from…
Quantum self-interaction within an infinitely deep cavity
Sergio Giardino
One examines the infinitely deep quantum cavity, also known as the quantum infinite square well, within the framework of the real Hilbert space. The solutions are considered in ter…
Self-interacting quantum particles and the Dirac delta potential
Sergio Giardino
The Dirac delta function potential is considered within the real Hilbert space approach for complex wave functions, as well as quaternionic wave functions. As has been previously d…
Complex Lagrangian dynamics
Sergio Giardino
In this article one introduces a formalism of classical mechanics where complex Lagrangian functions are admitted. The results include complex versions of the Lagrangian function,…
Klein-Gordon equation within the real Hilbert space formalism
Cristiano Rosa, Sergio Giardino
Within this article one finds the statement of the Klein-Gordon problem within the real Hilbert space formalism ($\mathbbm R$HS) in terms of complex wave functions, and in terms of…
Expectation value dynamics within real Hilbert space quantum mechanics
Sergio Giardino
Dynamic equations concerning physical expectation values have been examined in terms of the real Hilbert space approach to quantum mechanics. The considered cases involve complex w…
Classical and quantum complex dynamics
Sergio Giardino
A generalization of classical mechanics is obtained from a complex parametrization of the phase space. The formalism supports complex Hamiltonian functions describing non-conservat…
Self-interacting quantum particles
Sergio Giardino
The real Hilbert space formalism developed within the quaternionic quantum mechanics (QM) is fully applied to the simple model of the autonomous particle. This framework…
Generalized imaginary units in quantum mechanics
Sergio Giardino
The generalization of the imaginary unit is examined within the instances of the complex quantum mechanics (QM), and of the quaternionic quantum mechanics (QM…