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|Title: ||A graphical approach to permutation group representations for many-electron systems|
|Authors: ||SARMA, CR|
|Issue Date: ||1996|
|Publisher: ||JOHN WILEY & SONS INC|
|Citation: ||INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY,58(6)637-643|
|Abstract: ||A simple procedure is presented for obtaining the standard Young tableaux for the representation [(N/2) + S,(N/2) - S] of the permutation group F-N for an N-electron system in spin state S directly from the spin branching diagram. We redefine the coordinate axes of the branching diagram to obtain a graph in terms of the partitions of the two-rowed Young diagram and define walks in this graph which yield directly the first rows of the allowed standard Young tableaux spanning a given representation when suitable weights have been assigned to the nodes in the graph. The allowed states are in a lexically ordered form and permit going easily from an index to an array and vice versa. (C) 1996 John Wiley & Sons, Inc.|
|Appears in Collections:||Proceedings papers|
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