5 papers · 1 filter
Upper limit on the acceleration of a quantum evolution in projective Hilbert space
Paul M. Alsing, Carlo Cafaro
It is remarkable that Heisenberg's position-momentum uncertainty relation leads to the existence of a maximal acceleration for a physical particle in the context of a geometric ref…
From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part II. Nonstationary Hamiltonians
Paul M. Alsing, Carlo Cafaro
We present a geometric perspective on how to quantify the bending and the twisting of quantum curves traced by state vectors evolving under nonstationary Hamiltonians. Specifically…
From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians
Paul M. Alsing, Carlo Cafaro
It is known that the Frenet-Serret apparatus of a space curve in three-dimensional Euclidean space determines the local geometry of curves. In particular, the Frenet-Serret apparat…
Feynman's "Simulating Physics with Computers"
Paul M. Alsing, Carlo Cafaro, Stefano Mancini
This invited essay belongs to a series considering highly influential articles published by the International Journal of Theoretical Physics. In this paper, we highlight the physic…
Violation of Bell's Inequality in the Clauser-Horne-Shimony-Holt Form with Entangled Quantum States Revisited
Carlo Cafaro, Christian Corda, Philip Cairns +1
Scientific imagination and experimental ingenuity are at the heart of physics. One of the most known instances where this interplay between theory (i.e., foundations) and experimen…