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 | 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, Turkey | | 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). |  | View paper | | ISBN: | 0-9708275-3-9 |
| Pages: | 218 |
| Hardcopy: | $100.00 |
| Special: | 3 CD Set — 15% off with Free Shipping |
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