Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Sadurni, Emerson"'
Autor:
Sadurni, Emerson, Seligman, Thomas H
A general treatment of the spectral problem of quantum graphs and tight-binding models in finite Hilbert spaces is given. The direct spectral problem and the inverse spectral problem are written in terms of simple algebraic equations containing infor
Externí odkaz:
http://arxiv.org/abs/2103.16727
Autor:
Majari, Parisa, Sadurni, Emerson, Setare, Mohammad Reza, Franco-Villafane, John Alexander, Seligman, Thomas H.
Publikováno v:
Phys. Rev. A 104, 013522 (2021)
We show an implementation of a kappa-deformed Dirac equation in tight-binding arrays of photonic waveguides. This is done with a special configuration of couplings extending to second nearest neighbors. Geometric manipulations can control these evane
Externí odkaz:
http://arxiv.org/abs/2012.06037
Autor:
Sadurní, Emerson, Leyvraz, Francois, Stegmann, Thomas, Seligman, Thomas H., Klein, Douglas J.
The accidental degeneracy appearing in cycloacenes as triplets and quadruplets is explained with the concept of segmentation, introduced here with the aim of describing the effective disconnection of $\pi$ orbitals on these organic compounds. For per
Externí odkaz:
http://arxiv.org/abs/2008.02304
Akademický článek
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Publikováno v:
Rev Mex Fis 61(3) (2015) 170
In this pedagogical paper we review the discrete symmetries of the Dirac equation using elementary tools, but in a comparative order: the usual 3 + 1 dimensional case and the 2 + 1 dimensional case. Motivated by new applications of the 2d Dirac equat
Externí odkaz:
http://arxiv.org/abs/1411.6319
Autor:
Sadurní, Emerson
Publikováno v:
Journal of Physics: Conference Series 512 (2014) 012013
The space representations of linear canonical transformations were studied by Moshinsky and Quesne in 1972. For a few decades, the bilinear hamiltonian remained as the only exactly solvable representative for such problems. In this work we show that
Externí odkaz:
http://arxiv.org/abs/1308.2603
Autor:
Sadurní, Emerson
This paper is devoted to the computation of discrete propagators in two-dimensional crystals and their application to a number of time dependent problems. The methods to compute such kernels are provided by a tight-binding representation of Dirac mat
Externí odkaz:
http://arxiv.org/abs/1306.0261
Autor:
Sadurni, Emerson
Publikováno v:
2013 J. Phys. A: Math. Theor. 46 135302
In this note we present a new propagator for a particle in discrete space under the influence of a time-dependent field. With this result we are able to control the shape of caustics emerging from a point-like source, as the explicit form of the wave
Externí odkaz:
http://arxiv.org/abs/1302.4008
Autor:
Sadurní, Emerson
Publikováno v:
J. Phys. A: Math. Theor. 45 465302 (2012)
The propagator of the discrete Schr\"odinger equation is computed and its properties are revealed through a Feynman path summation in discrete space. Initial data problems such as diffraction in discrete space and continuous time are studied analytic
Externí odkaz:
http://arxiv.org/abs/1205.3972
Autor:
Sadurni, Emerson
Publikováno v:
J. Phys.: Conf. Ser. 343 012106 (2012)
The problem of Schr\"odinger propagation of a discontinuous wavefunction -diffraction in time- is studied under a new light. It is shown that the evolution map in phase space induces a set of affine transformations on discontinuous wavepackets, gener
Externí odkaz:
http://arxiv.org/abs/1202.2333