6 papers
Path integral formulation of finite-dimensional quantum mechanics in discrete phase space
Leonardo A. Pachon, Andres D. Gomez
We develop a path integral representation for the dynamics of quantum systems with a finite-dimensional Hilbert space, formulated entirely within a discrete phase space. Starting f…
Newton-Cartan limit of Klein-Gordon AQFT and the collapse of Galilean modular structure
Leonardo A. Pachon
We extend the established Galilean/relativistic structural divider in algebraic quantum field theory, namely, the absence of Reeh-Schlieder and of Tomita-Takesaki modular flow on l…
Galilean Reeh--Schlieder Obstruction
Leonardo A. Pachon
We prove that the standard Galilean Haag--Kastler axioms, augmented by Bargmann mass superselection, are inconsistent with the Reeh--Schlieder property: no such net admits a vacuum…
Algebraic quantum kinematics and SR-selection
Leonardo A. Pachon
We develop, as the first of a six-paper series, an operator-algebraic framework relating non-relativistic quantum mechanics and special relativity. Three structural facts organize…
The Origin of the Dynamical Quantum Non-locality
Cesar E. Pachon, Leonardo A. Pachon
Non-locality is one of the hallmarks of quantum mechanics and is responsible for paradigmatic features such as entanglement and the Aharonov-Bohm effect. Non-locality comes in two…
Rank-2 Electromagnetic Backgrounds and Angular Momentum Barriers in Gravitomagnetic Spin-Quadrupole Searches
Leonardo A. Pachon
We present a complete analysis of the angular momentum selection rules and electromagnetic backgrounds that constrain any spectroscopic search for the gravitomagnetic spin-quadrupo…