Exact propagators on the lattice with applications to diffractive effects

Autor:	Sadurní, Emerson
Rok vydání:	2012
Předmět:	Quantum Physics Condensed Matter - Other Condensed Matter
Zdroj:	J. Phys. A: Math. Theor. 45 465302 (2012)
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/45/46/465302
Popis:	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 analytically by the application of the new propagator. In the second part of this paper, the analogy between time propagation and 2D scattering by 1D obstacles is explored. New results are given in the context of diffraction by edges within a periodic medium. A connection with tight-binding arrays and photonic crystals is indicated. Comment: Final version with two appendices. Published in J. Phys. A: Math. Theor
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1205.3972 Zobrazit plný text záznamu View this record from Arxiv