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19912026
most citedPeres-Horodecki separability criterion for continuous variable systems

2.2k citations

Showing 2015 · math-phShow all

9 papers · 2 filters

math-ph2015★ 5 cited

The classical Darboux III oscillator: factorization, Spectrum Generating Algebra and solution to the equations of motion

Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +3

In a recent paper the so-called Spectrum Generating Algebra (SGA) technique has been applied to the N-dimensional Taub-NUT system, a maximally superintegrable Hamiltonian system wh…

math-ph2015★ 11 cited

Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems

Giorgio Tondo, Piergiulio Tempesta

In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized Stäckel systems and, as a particular case, of the quasi-bi-Hamilt…

math-ph2015★ 51 cited

Quantum Tomography twenty years later

M. Asorey, A. Ibort, G. Marmo +1

A sample of some relevant developments that have taken place during the last twenty years in classical and quantum tomography are displayed. We will present a general conceptual fr…

math-ph2015★ 21 cited

The Topology and Geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators

M. Asorey, A. Ibort, G. Marmo

The theory of self-adjoint extensions of first and second order elliptic differential operators on manifolds with boundary is studied via its most representative instances: Dirac a…

math-ph2015★ 1 cited

Towards a quantum sampling theory: the case of finite groups

Antonio G. García, Miguel A. Hernández-Medina, A. Ibort

Nyquist-Shannon sampling theorem, instrumental in classical telecommunication technologies, is extended to quantum systems supporting a unitary representation of a finite group …

math-ph2015★ 7 cited

The combinatorics of Green's functions in planar field theories

Kurusch Ebrahimi-Fard, Frederic Patras

The aim of this work is to outline in some detail the use of combinatorial algebra in planar quantum field theory. Particular emphasis is given to the relations between the differe…

math-ph2015★ 34 cited

Formal Groups and -Entropies

Piergiulio Tempesta

We shall prove that the celebrated Rényi entropy is the first example of a new family of infinitely many multi-parametric entropies. We shall call them the -entropies. Each of t…

math-ph2015★ 10 cited

Hamilton-Jacobi theory in multisymplectic classical field theories

Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy +1

The geometric framework for the Hamilton-Jacobi theory developed in previous works is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problem…

math-ph2015

Nilpotent integrability, reduction of dynamical systems and a third-order Calogero-Moser system

A. Ibort, G. Marmo, M. A. Rodriguez +1

We present an algebraic formulation of the notion of integrability of dynamical systems, based on a nilpotency property of its flow: it can be explicitly described as a polynomial…