[图书][B] An introduction to groups, groupoids and their representations

A Ibort, MÁ Rodríguez - 2020 - api.taylorfrancis.com
This project grew from lecture notes prepared for courses on group theory taught by the
authors a long time ago. They were recovered and put in their present form because of the …

Energy scan/dependence of kinetic freeze-out scenarios of multi-strange and other identified particles in central nucleus–nucleus collisions

M Waqas, FH Liu, RQ Wang, I Siddique - The European Physical Journal …, 2020 - Springer
The transverse momentum (mass) spectra of the multi-strange and non-multi-strange (ie
other identified) particles in central gold–gold (Au–Au), lead–lead (Pb–Pb), argon–muriate …

Schwinger's picture of quantum mechanics I: Groupoids

FM Ciaglia, A Ibort, G Marmo - International Journal of Geometric …, 2019 - World Scientific
A new picture of Quantum Mechanics based on the theory of groupoids is presented. This
picture provides the mathematical background for Schwinger's algebra of selective …

Schwinger's picture of quantum mechanics III: The statistical interpretation

FM Ciaglia, A Ibort, G Marmo - International Journal of Geometric …, 2019 - World Scientific
Schwinger's algebra of selective measurements has a natural interpretation in the formalism
of groupoids. Its kinematical foundations, as well as the structure of the algebra of …

Schwinger's picture of quantum mechanics

FM Ciaglia, F Di Cosmo, A Ibort… - International Journal of …, 2020 - World Scientific
In this paper, we will present the main features of what can be called Schwinger's
foundational approach to Quantum Mechanics. The basic ingredients of this formulation are …

Schwinger's picture of quantum mechanics IV: composition and independence

FM Ciaglia, F Di Cosmo, A Ibort… - International Journal of …, 2020 - World Scientific
The groupoid description of Schwinger's picture of quantum mechanics is continued by
discussing the closely related notions of composition of systems, subsystems, and their …

Decoherence-free algebras in quantum dynamics

D Amato, P Facchi, A Konderak - arXiv preprint arXiv:2403.12926, 2024 - arxiv.org
In this Article we analyze the algebraic properties of the asymptotic dynamics of finite-
dimensional open quantum systems in the Heisenberg picture. In particular, a natural …

From the Jordan product to Riemannian geometries on classical and quantum states

FM Ciaglia, J Jost, L Schwachhöfer - Entropy, 2020 - mdpi.com
The Jordan product on the self-adjoint part of a finite-dimensional C*-algebra A is shown to
give rise to Riemannian metric tensors on suitable manifolds of states on A, and the …

[HTML][HTML] Groupoid and algebra of the infinite quantum spin chain

FM Ciaglia, F Di Cosmo, P Facchi, A Ibort… - Journal of Geometry and …, 2023 - Elsevier
It is well known that certain features of a quantum theory cannot be described in the
standard picture on a Hilbert space. In particular, this happens when we try to formally frame …

Differential Geometric Aspects of Parametric Estimation Theory for States on Finite-Dimensional C-Algebras

FM Ciaglia, J Jost, L Schwachhöfer - Entropy, 2020 - mdpi.com
A geometrical formulation of estimation theory for finite-dimensional C∗-algebras is
presented. This formulation allows to deal with the classical and quantum case in a single …