24 citations · 50 across the 9 of their papers we have counts for
9 papers
Hybrid Geometrodynamics: A Hamiltonian description of classical gravity coupled to quantum matter
J. L. Alonso, C. Bouthelier-Madre, J. Clemente-Gallardo +1
We generalize the Hamiltonian picture of General Relativity coupled to classical matter, known as geometrodynamics, to the case where such matter is described by a Quantum Field Th…
Lie systems and Schrödinger equations
J. F. Cariñena, J. Clemente-Gallardo, J. A. Jover-Galtier +1
We prove that -dependent Schrödinger equations on finite-dimensional Hilbert spaces determined by -dependent Hermitian Hamiltonian operators can be described through Lie syst…
Klein's programme and Quantum Mechanics
J. Clemente-Gallardo, G. Marmo
We review the geometrical formulation of Quantum Mechanics to identify, according to Klein's programme, the corresponding group of transformations. For closed systems, it is the un…
Tensorial description of quantum mechanics
J. Clemente-Gallardo, G. Marmo
Relevant algebraic structures for the description of Quantum Mechanics in the Heisenberg picture are replaced by tensorfields on the space of states. This replacement introduces a…
Classical Tensors and Quantum Entanglement II: Mixed States
P. Aniello, J. Clemente-Gallardo, G. Marmo +1
Invariant operator-valued tensor fields on Lie groups are considered. These define classical tensor fields on Lie groups by evaluating them on a quantum state. This particular cons…
Averaged Lorentz Dynamics and an application in Plasma Dynamics
Ricardo Gallego Torrome
Using a geometric averaging procedure applied to a non-affine linear connection, we prove that for a narrow one particle distribution function and in the ultra-relativistic limit,…