An Algebraic Model for Quantum Unstable States

S Fortin, M Gadella, F Holik, JP Jorge, M Losada - Mathematics, 2022 - mdpi.com
In this review, we present a rigorous construction of an algebraic method for quantum
unstable states, also called Gamow states. A traditional picture associates these states to …

Interpretations of quantum theory in the light of modern cosmology

M Castagnino, S Fortin, R Laura, D Sudarsky - Foundations of Physics, 2017 - Springer
The difficult issues related to the interpretation of quantum mechanics and, in particular, the
“measurement problem” are revisited using as motivation the process of generation of …

On the lattice structure of probability spaces in quantum mechanics

F Holik, C Massri, A Plastino, L Zuberman - International Journal of …, 2013 - Springer
Let C be the set of all possible quantum states. We study the convex subsets of C with
attention focused on the lattice theoretical structure of these convex subsets and, as a result …

A top-down view of the classical limit of quantum mechanics

S Fortin, O Lombardi - … Classical emergence from the quantum level, 2017 - World Scientific
The problem of the classical limit of quantum mechanics consists in explaining how the
classical realm “emerges” from the quantum domain. Although along the history of quantum …

Convex quantum logic

F Holik, C Massri, N Ciancaglini - International Journal of Theoretical …, 2012 - Springer
In this work we study the convex set of quantum states from a quantum logical point of view.
We consider an algebraic structure based on the convex subsets of this set. The relationship …

New bases for a general definition for the moving preferred basis

M Castagnino, S Fortin - Modern Physics Letters A, 2011 - World Scientific
One of the challenges of the Environment-Induced Decoherence (EID) approach is to
provide a simple general definition of the moving pointer basis or moving preferred basis. In …

Formal features of a general theoretical framework for decoherence in open and closed systems

M Castagnino, S Fortin - International Journal of Theoretical Physics, 2013 - Springer
Two complementary decoherence formalisms, Environment Induced Decoherence (EID) for
open systems and Self Induced Decoherence (SID) for close systems are compared under a …

Decoherence: a closed-system approach

S Fortin, O Lombardi, M Castagnino - Brazilian Journal of Physics, 2014 - Springer
The aim of this paper is to review a new perspective about decoherence, according to which
formalisms originally devised to deal just with closed or open systems can be subsumed …

Non-Hermitian Hamiltonians in decoherence and equilibrium theory

M Castagnino, S Fortin - Journal of Physics A: Mathematical and …, 2012 - iopscience.iop.org
There are many formalisms to describe quantum decoherence. However, many of them give
a non-general and ad hoc definition of'pointer basis' or'moving preferred basis', and this fact …

Quantum decoherence: a logical perspective

S Fortin, L Vanni - Foundations of Physics, 2014 - Springer
The so-called classical limit of quantum mechanics is generally studied in terms of the
decoherence of the state operator that characterizes a system. This is not the only possible …