Transparent lattices and their solitary waves.
Phys Rev E Stat Nonlin Soft Matter Phys
; 90(3): 033205, 2014 Sep.
Article
em En
| MEDLINE
| ID: mdl-25314557
ABSTRACT
We provide a family of transparent tight-binding models with nontrivial potentials and site-dependent hopping parameters. Their feasibility is discussed in electromagnetic resonators, dielectric slabs, and quantum-mechanical traps. In the second part of the paper, the arrays are obtained through a generalization of supersymmetric quantum mechanics in discrete variables. The formalism includes a finite-difference Darboux transformation applied to the scattering matrix of a periodic array. A procedure for constructing a hierarchy of discrete Hamiltonians is indicated and a particular biparametric family is given. The corresponding potentials and hopping functions are identified as solitary waves, pointing to a discrete spinorial generalization of the Korteweg-deVries family.
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Base de dados:
MEDLINE
Assunto principal:
Teoria Quântica
/
Modelos Teóricos
Tipo de estudo:
Prognostic_studies
Idioma:
En
Ano de publicação:
2014
Tipo de documento:
Article