Hopping and Correlation Effects in Atomic Clusters and Networks

	Nanotech 2001 Vol. 2 Technical Proceedings of the 2001 International Conference on Computational Nanoscience and Nanotechnology Chapter 7: General Theory and Methods
	Hopping and Correlation Effects in Atomic Clusters and Networks
Authors:	I.O. Kulik
Affilation:	Bilkent University, TR
Pages:	196 - 199
Keywords:	atomic cluster, mesoscopic system, persistent current, superconducting network, sparse matrix
Abstract:	Exact solution for hopping and correlation effects in atomic clusters and mesoscopic/nanoscopic networks is outlined. The program translates the Hamiltonian operator of the cluster written in terms of second-quantized creation and annihilation operators, to sparse matrix of (extremely) large dimension and solves the latter with the help of new compiler termed ABC (Advanced Basic-C' compiler/convertor/programmer). The ABC creates a stand-alone executable or, if proved necessary, source C-code received from the original program written in a simplified Quick Basic dialect. ABC employs mathematical functions including the complex variables, arbitrary precision floating-point numbers, special functions, standard mathematical routines (multidimensional integrals, eigenvalues of Hermitian matrices, in particular a new algorithm for sparce Hermitian matrices, etc.) and is appropriate to practically all software/hardware environments (Windows, OS/2, Linux and UNIX machines).
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ISBN:	0-9708275-3-9
Pages:	218
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