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Autor González López, Artemio |
Documentos disponibles escritos por este autor (51)
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We develop a systematic algorithm for constructing an X-fold supersymmetric system from a given vector space invariant under one of the supercharges. Applying this algorithm to spaces of monomials, we construct a new multiparameter family of Ar-[...]![]()
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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[...]![]()
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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[...]![]()
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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[...]![]()
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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[...]![]()
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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[...]![]()
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We first establish some general results connecting real and complex Lie algebras ofirst-order diferential operators. These are applied to completely classify all finite-dimensional real Lie algebras of first-order diferential operators in R^2 .[...]![]()
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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, [...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; López Maroto, Antonio ; Rodríguez, M.A. | American Institute of Physics | 2001The most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lame's equation is shown to be of the form V(?) = ? ? ^(4) /4 + K ?^( )2 /2 + ?/(2 ?^( 2) ) + V_[...]![]()
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Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio | American Physical Society | 2009-06We show that the density of energy levels of a wide class of finite-dimensional quantum systems tends to a Gaussian distribution as the number of degrees of freedom increases. Our result is based on a variant of the central limit theorem which i[...]![]()
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Carrasco, José A. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez, Miguel A. | American Physical Society | 2017-01-17We study the critical behavior and the ground-state entanglement of a large class of su(1|1) supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several relevant models, wit[...]![]()
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By an application of the geometrical techniques of Lie, Cohen, and Dickson it is shown that a system of differential equations of the form [x^(r_i)]_i = F_i; (where r_i > 1 for every i = 1 , ... ,n) cannot admit an infinite number of pointlike [...]![]()
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By an application of the geometrical techniques of Lie, Cohen, and Dickson it is shown that a system of differential equations of the form [x^(r_i)]_i = F_i(where r_i > 1 for every i = 1 , ... ,n) cannot admit an infinite number of pointlike sy[...]![]()
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Barba, J. C. ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | EPL Association, European Physical Society | 2008-07According to a long-standing conjecture of Berry and Tabor, the distribution of the spacings between consecutive levels of a "generic" integrable model should follow Poisson's law. In contrast, the spacings distribution of chaotic systems typica[...]![]()
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We compute the spectrum of the su(m) spin Sutherland model of B-N type, including the exact degeneracy of all energy levels. By studying the large coupling constant limit of this model and of its scalar counterpart, we evaluate the partition fun[...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; López Maroto, Antonio ; Rodríguez González, Miguel Ángel | American Physical Society | 2000-10-17We show that the most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lame's equation is of the form V(phi)=lambda phi^4/4+Kphi^2/2+mu/(2 phi^2)+V_0. As [...]![]()
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A generalization of the classical one-dimensional Darboux transformation to arbitrary n- dimensional oriented Riemannian manifolds is constructed using an intrinsic formulation based on the properties of twisted Hodge Laplacians. The classical t[...]![]()
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In this paper we study the su(m) spin Sutherland (trigonometric) model of D-N type and its related spin chain of Haldane-Shastry type obtained by means of Polychronakos's freezing trick. As in the rational case recently studied by the authors, w[...]![]()
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Finkel Morgenstern, Federico ; González López, Artemio ; León Yebra, Carlos ; Rodríguez González, Miguel Ángel | IOP Publishing | 2018-04We study the thermodynamics and critical behavior of su(m|n) supersymmetric spin chains of Haldane-Shastry type with a chemical potential term. We obtain a closed-form expression for the partition function and deduce a description of the spectru[...]