10 citations · 27 across the 7 of their papers we have counts for
7 papers
Separability and entanglement in classical eigenfunctions as a criterion for Hamiltonian chaos
A. D. Bermúdez Manjarres
We study the eigenfunctions of the classical Liouville operator and investigate the conditions they must obey to be separable as a product state. We point out that the conditions f…
Operational classical mechanics: Holonomic Systems
A. D Bermúdez Manjarres
We construct an operational formulation of classical mechanics without presupposing previous results from analytical mechanics. In doing so, several concepts from analytical mechan…
Hamiltonian point of view of quantum perturbation theory
A. D. Bermúdez Manjarres
We explore the relation of Van Vleck-Primas perturbation theory of quantum mechanics with the Lie-series-based perturbation theory of Hamiltonian systems in classical mechanics. In…
The Schwinger action principle for classical systems
A. D. Bermúdez Manjarres
We use the Schwinger action principle to obtain the equations of motion in the Koopman-von Neumann operational version of classical mechanics. We restrict our analysis to non-dissi…
Projective representation of the Galilei group for classical and quantum-classical systems
A. D. Bermúdez Manjarres
A physically relevant unitary irreducible non-projective representation of the Galilei group is possible in the Koopman-von Neumann formulation of classical mechanics. This classic…
Unitary representation of the Poincaré group for classical relativistic dynamics
A. D. Bermúdez Manjarres
We give a unitary irreducible representation of the proper Poincaré group that leads to an operational version of the classical relativistic dynamics of a massive spinless particle…
Galilean covariance of quantum-classical hybrid systems of the Sudarshan type
A. D. Bermúdez Manjarres, N. Marín-Medina
We revisit quantum-classical hybrid systems of the Sudarshan type under the light of Galilean covariance. We show that these kind of hybrids cannot be given as a unitary representa…