72 citations · 353 across the 31 of their papers we have counts for
31 papers
Alternative tangent and cotangent structures and their physical applications
José F. Cariñena, Jesús Clemente-Gallardo, Giuseppe Marmo
The conditions under which a given manifold may be given a tangent bundle or a cotangent bundle structure are analyzed. This is an important property arising in different conte…
Hybrid quantum-classical systems: statistics, entropy, microcanonical ensemble and its connection to the canonical ensemble
J. L. Alonso, C. Bouthelier-Madre, A. Castro +2
We describe in detail a mathematical framework in which statistical ensembles of hybrid classical-quantum systems can be properly described. We show how a maximum entropy principle…
Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part II: Methods of quantization and evolution
José Luis Alonso, Carlos Bouthelier-Madre, Jesús Clemente-Gallardo +1
In this series of papers we aim to provide a mathematically comprehensive framework to the Hamiltonian pictures of quantum field theory in curved spacetimes. Our final goal is to s…
Effective nonlinear Ehrenfest hybrid quantum-classical dynamics
J. L. Alonso, C. Bouthelier-Madre, J. Clemente-Gallardo +2
The definition of a consistent evolution equation for statistical hybrid quantum-classical systems is still an open problem. In this paper we analyze the case of Ehrenfest dynamics…
Hybrid Koopman C*-formalism and the hybrid quantum-classical master equation
C. Bouthelier-Madre, J. Clemente-Gallardo, L. González-Bravo +1
Based on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum-classical dynamical systems by defining (outer) automorphisms of the…
Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part I: Gaussian analysis and other Mathematical aspects
José Luis Alonso, Carlos Bouthelier-Madre, Jesús Clemente-Gallardo +1
In this series of papers we aim to provide a mathematically comprehensive framework to the Hamiltonian pictures of quantum field theory in curved spacetimes. Our final goal is to s…