Halos and undecidability of tensor stable positive maps

M Van Der Eyden, T Netzer… - Journal of Physics A …, 2022 - iopscience.iop.org
Abstract A map $\mathcal {P} $ is tensor stable positive (tsp) if ${\mathcal {P}}^{\otimes n} $
is positive for all n, and essential tsp if it is not completely positive or completely co-positive …

Everettian mechanics with hyperfinitely many worlds

J Barrett, I Goldbring - Erkenntnis, 2024 - Springer
The present paper shows how one might model Everettian quantum mechanics using
hyperfinitely many worlds. A hyperfinite model allows one to consider idealized …

A characterization of singular Schrödinger operators on the half-line

R Scandone, LL Baglini, K Simonov - Canadian Mathematical …, 2021 - cambridge.org
We study a class of delta-like perturbations of the Laplacian on the half-line, characterized
by Robin boundary conditions at the origin. Using the formalism of nonstandard analysis, we …

Functoriality of Quantum Resource Theory and Variable-Domain Modal Logic

P Fraser - arXiv preprint arXiv:2006.16350, 2020 - arxiv.org
Quantum resource theory is a cutting-edge tool used to study practical implementations of
quantum mechanical principles under realistic operational constraints. It does this by …

[图书][B] Riemann Integration in NQA+: The Role of Geometric Subdivision and Its Consequences for the Continuum

MJ Lorenz - 2021 - search.proquest.com
In the mid 1990s mathematicians Rolando Chuaqui and Patrick Suppes developed a
constructive axiomatic system of nonstandard analysis. This project, now called NQA+(later …

An improved setting for generalized functions: fine ultrafunctions

V Benci - Milan Journal of Mathematics, 2022 - Springer
Ultrafunctions are a particular class of functions defined on a Non Archimedean field E⊃ R.
They have been introduced and studied in some previous works (Benci, in Adv Nonlinear …

[PDF][PDF] Probabilistic Bohmian Quantum Mechanics and Non-standard Analysis

A Kassaian - ijqf.org
In this paper, by using a hyperfinite dimensional space and time lattice (ST-lattice) of
nonstandard analysis, we present a variant of Bohmian interpretation of quantum mechanics …