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Autor Rodríguez González, Miguel Ángel |
Documentos disponibles escritos por este autor (34)
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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Physical Society | 2009-10In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/ f^ 4, and thus do not follow the 1/ f ^2 law recently conjectured for integrable systems. We present a simple theoretical just[...]![]()
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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2009-01-11We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Frahm spin chain. We also introduce a supersymmetric spin dynamical[...]![]()
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We discuss generalizations of the well known concept of canonical transformations fo symplectic structures to the case of hyperkahler structures. Different characterizations, which are equivalent in the symplectic case, give rise to non-equival[...]![]()
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Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Tempesta, Piergiulio | American Physical Society | 2016-07-01We introduce a general class of su(1 / 1) supersymmetric spin chains with long-range interactions which includes as particular cases the su (1 / 1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this clas[...]![]()
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Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Tempesta, Piergiulio | American Physical Society | 2016-06-01We introduce a general class of su(1|1) supersymmetric spin chains with long-range interactions which includes as particular cases the su(1|1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this class of [...]![]()
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Nonlinear PDE's having given conditional symmetries are constructed. They are obtained starting from the invariants of the conditional symmetry generator and imposing the extra condition given by the characteristic of the symmetry. Series of exa[...]![]()
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Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier Science BV | 2001-05-28A quantum Hamiltonian describing N particles on a line interacting pairwise via an elliptic function potential in the presence of an external field is introduced. For a discrete set of values of the strength of the external potential, it is show[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP publishing ltd | 2007-02-23We present a detailed analysis of the spin models with near-neighbours interactions constructed in our previous paper (Enciso et al 2005 Phys. Lett. B 605 214) by a suitable generalization of the exchange operator formalism. We provide a complet[...]![]()
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Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Tempesta, Piergiulio | IOP Publishing | 2016-03We introduce a new class of generalized isotropic Lipkin–Meshkov–Glick models with su(m+1) spin and long-range non-constant interactions, whose non-degenerate ground state is a Dicke state of su(m+1) type. We evaluate in closed form the reduced [...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Atlantis Press | 2005-01We compute the spectrum of the trigonometric Sutherland spin model of BCN type in the presence of a constant magnetic field. Using Polychronakos's freezing trick, we derive an exact formula for the partition function of its associated Haldane-Sh[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2005-02-21We introduce four types of SU(2M + 1) spin chains which can be regarded as the BCN versions of the celebrated Haldane-Shastry chain. These chains depend on two free parameters and, unlike the original Haldane-Shastry chain, their sites need not [...]![]()
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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2010-11-11In this paper we study Inozemtsev's su(m) quantum spin model with hyperbolic interactions and the associated spin chain of Haldane-Shastry type introduced by Frahm and Inozemtsev. We compute the spectrum of Inozemtsev's model, and use this resul[...]![]()
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Finkel Morgenstern, Federico ; Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | Springer | 2001-08A new family of AN-type Dunkl operators preserving a polynomial subspace of finite dimension is constructed. Using a general quadratic combination of these operators and the usual Dunkl operators, several new families of exactly and quasi-exactl[...]![]()
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Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP Publishing | 2000-10-20We develop a systematic procedure for constructing quantum many-body problems whose spectrum can be partially or totally computed by purely algebraic means. The exactly solvable models include rational and hyperbolic potentials related to root s[...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP Publishing | 2000-03-03We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lame polynomials and the classical non-meromorphic Lame functions in terms of Chebyshev polynomials and o[...]![]()
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In this work, we study generalized entropies and information geometry in a group-theoretical framework. We explore the conditions that ensure the existence of some natural properties and at the same time of a group-theoretical structure for a la[...]![]()
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Finkel Morgenstern, Federico ; Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2001-10-15We construct several new families of exactly and quasi-exactly solvable BCN-type Calogero-Sutherland models with internal degrees of freedom. Our approach is based on the introduction of a new family of Dunkl operators of B-N type which, togethe[...]![]()
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Ibort, A. ; Marmo, G. ; Rodríguez González, Miguel Ángel ; Tempesta, Piergiulio | Springer Heidelberg | 2019-10We 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 on its evolution parameter. Such a property is established in a p[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier | 2008-02-01In this paper we study a novel spin chain with nearest-neighbors interactions depending on the sites coordinates, which in some sense is intermediate between the Heisenberg chain and the spin chains of Haldane-Shastry type. We show that when the[...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; Kamran, Niky ; Rodríguez González, Miguel Ángel | American Institute of Physics | 1999-07In this paper we point out a close connection between the Darboux transformation and the group of point transformations which preserve the form of the time-dependent Schroumldinger equation (TDSE). In our main result, we prove that any pair of t[...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP publishing ltd | 1999-10-01We show that there are two different families of (weakly) orthogonal polynomials associated to the quasi-exactly solvable Razavy potential V_ (x) = (? cosh 2x?M)^ 2 (? > 0, M ? N). One of these families encompasses the four sets of orthogonal p[...]![]()
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Finkel Morgenstern, Federico ; Gómez-Ullate Otaiza, David ; González López, Artemio ; Rodríguez González, Miguel Ángel ; Zhdanov, R. | Springer | 2003-02The B-N hyperbolic Sutherland spin model is expressed in terms of a suitable set of commuting Dunkl operators. This fact is exploited to derive a complete family of commuting integrals of motion of the model, thus establishing its integrability.[...]![]()
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Barba, J. C: ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Physical Society | 2008-06We compute the partition function of the su(m) Polychronakos-Frahm spin chain of BC_N type by means of the freezing trick. We use this partition function to study several statistical properties of the spectrum, which turn out to be analogous to [...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP publishing ltd | 1997-10-07In this paper, we study Lie superalgebras of 2 x 2 matrix-valued first-order differential operators on the complex line. We first completely classify all such superalgebras of finite dimension. Among the finite-dimensional superalgebras whose od[...]