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Autor Rodríguez González, Miguel Ángel |
Documentos disponibles escritos por este autor (34)
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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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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[...]texto impreso
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.[...]texto impreso
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 [...]texto impreso
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[...]texto impreso
Álvarez Galindo, Gabriel ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | IOP Publishing | 2002-10-18We study a large class of models with an arbitrary (finite) number of degrees of freedom, described by Hamiltonians which are polynomial in bosonic creation and annihilation operators, and including as particular cases nth harmonic generation an[...]texto impreso
Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Institute of Mathematics of National Academy of Science of Ukraine | 2006-11-03We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the excha[...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Institute of Physics | 1996-08In this paper we show that a quasi-exactly solvable (normalizable or periodic) one-dimensional Hamiltonian satisfying very mild conditions defines a family of weakly orthogonal polynomials which obey a three-term recursion relation. in particula[...]texto impreso
Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | American Institute of Physics | 1997-06The algebraic structures underlying quasi-exact solvability for spin 1/2 Hamiltonians in one dimension are studied in detail. Necessary and sufficient conditions for a matrix second-order differential operator preserving a space of wave function[...]texto impreso
Enciso, A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Elsevier Science BV | 2005-01-06We construct new solvable rational and trigonometric spin models with near-neighbors interactions by an extension of the Dunkl operator formalism. In the trigonometric case we obtain a finite number of energy levels in the center of mass frame, [...]