Classification of interaction operators with respect to many-particle permutation symmetry

✍ Scribed by A. van der Avoird; P.E.S. Wormer

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 396 KB
• Volume: 14
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(72)87168-9

✦ Synopsis

TWO procedures Qr(: dcveiopcd for the ~lassi~i~atiun of interaction opfrstors with respect to the permutation symmetry of a many (N) partick system, which is a necessary tist step for deriving seiection rules for matrix elements of spin dependent operators over many-particle wavefunctions.

The first method, based on character relations in the sqtmmetric group .S,, is spplied to one-and two-particte operators The second, using Young diagrams is easily appkd to the general exe of n-particle interaction operators.

1. introduction

Recently, Musher Cl] has derived selection rules for matrix elements of spin-dependent operators over many-electron