Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Vieira, R. S."'
Autor:
Vieira, R. S., Lima-Santos, A.
The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however,
Externí odkaz:
http://arxiv.org/abs/2012.02543
Autor:
Vieira, R. S.
In this work, we employ the algebraic-differential method recently developed by the author to solve the Yang-Baxter equation for arbitrary fifteen-vertex models satisfying the ice-rule. We show that there are four different families of such regular $
Externí odkaz:
http://arxiv.org/abs/1908.06932
Autor:
Vieira, R. S., Botta, V.
Given an orthogonal polynomial sequence on the real line, another sequence of polynomials can be found by composing these polynomials with a general M\"obius transformation. In this work, we study the properties of such M\"obius-transformed polynomia
Externí odkaz:
http://arxiv.org/abs/1904.10766
Autor:
Vieira, R. S.
Polynomials whose zeros are symmetric either to the real line or to the unit circle are very important in mathematics and physics. We can classify them into three main classes: the self-conjugate polynomials, whose zeros are symmetric to the real lin
Externí odkaz:
http://arxiv.org/abs/1904.01940
Autor:
Vieira, R. S.
Publikováno v:
Journal of Computational and Applied Mathematics, Volume 384, 1 March 2021, 113169 (Available online 27 August 2020)
The classical problem of counting the number of real zeros of a real polynomial was solved a long time ago by Sturm. The analogous problem of counting the number of zeros that a polynomial has on the unit circle is, however, still an open problem. In
Externí odkaz:
http://arxiv.org/abs/1902.04231
Autor:
Vieira, R. S.
Publikováno v:
Vieira, R.S. J. High Energ. Phys. (2018) 2018: 110. https://doi.org/10.1007/JHEP10(2018)110
The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however,
Externí odkaz:
http://arxiv.org/abs/1712.02341
Autor:
Vieira, R. S., Lima-Santos, A.
We present in this paper a comprehensive introduction to the algebraic Bethe Ansatz, taking as examples the six-vertex model with periodic and non-periodic boundary conditions. We propose a diagrammatic representation of the commutation relations use
Externí odkaz:
http://arxiv.org/abs/1707.02584
Autor:
Vieira, R. S., Santos, A. Lima
The boundary algebraic Bethe Ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum affine Lie superalgebra $U_{q}[\mathrm{osp}(2|2)^{(2)}]$ is presented. The eigenvalues and eigen
Externí odkaz:
http://arxiv.org/abs/1705.08953
Autor:
Vieira, R. S., Santos, A. Lima
We derive the solutions of the boundary Yang-Baxter equation associated with a supersymmetric nineteen vertex model constructed from the three-dimensional representation of the twisted quantum affine Lie superalgebra $U_{q}[\mathrm{osp}\left(2|2\righ
Externí odkaz:
http://arxiv.org/abs/1703.02408
Autor:
Vieira, R. S.
Publikováno v:
EPL (Europhysics Letters), Volume 116, Number 5, p. 50007 (2016)
In 1989 Supplee described an apparent relativistic paradox on which a submarine seems to sink to observers at rest within the ocean, but it rather seems to float in the submarine proper frame. In this letter, we show that the paradox arises from a mi
Externí odkaz:
http://arxiv.org/abs/1611.07517