3 papers
math.OA2025
Inclusions of Standard Subspaces
Ricardo Correa da Silva, Gandalf Lechner
Standard subspaces are closed real subspaces of a complex Hilbert space that appear naturally in Tomita-Takesaki modular theory and its applications to quantum field theory. In thi…
physics.hist-ph2024
The Dual Dynamical Foundation of Orthodox Quantum Mechanics
Diana Taschetto, Ricardo Correa da Silva
This paper combines mathematical, philosophical, and historical analyses in a comprehensive investigation of the dynamical foundations of the formalism of orthodox quantum mechanic…
math.OA2024
Crossing symmetry and the crossing map
Ricardo Correa da Silva, Luca Giorgetti, Gandalf Lechner
We introduce and study the crossing map, a closed linear map acting on operators on the tensor square of a given Hilbert space that is inspired by the crossing property of quantum…