Mathematical Models for Unstable Quantum Systems and Gamow States.

We review some results in the theory of non-relativistic quantum unstable systems. We account for the most important definitions of quantum resonances that we identify with unstable quantum systems. Then, we recall the properties and construction of Gamow states as vectors in some extensions of Hilbert spaces, called Rigged Hilbert Spaces.

Possibility and Time in Quantum Mechanics.

In the discourse of quantum mechanics it is usual to say that non-commuting observables have definite values at the same time, or that they be simultaneously measured. But, what does the term 'cannot' mean in this context? Does it stand for impossible? Should Heisenberg's principle be read in terms of uncertainty or of indeterminacy? On the other hand, whereas the debates about the nature of time in classical and relativistic mechanics have been many and varied, the question about the nature of time in quantum mechanics has not received the same attention, especially when compared to the large amount of literature on interpretive issues. The purpose of this paper is to show that, under a realist interpretation of quantum mechanics, these two matters, possibility and time, are strongly related.

Entanglement and indistinguishability in a quantum ontology of properties.

The aim of the present article is to address the problem of entanglement in the case of indistinguishable particles from a perspective based on the algebraic formalism of quantum mechanics, which is the natural formal counterpart of an ontology of properties, devoid of the ontological category of object. On the basis of this perspective, an algebraic definition of entanglement is adopted, which supplies a unified conception, valid for both the distinguishable and the indistinguishable cases. An additional advantage of this algebraic definition is that it does justice to the relativity of entanglement, a feature that cannot be ignored.

Special Issue "Quantum Foundations: 90 Years of Uncertainty".

The VII Conference on Quantum Foundations: 90 years of uncertainty (https://sites [...