A method for the construction of orthogonal spin eigenfunctions | Zendy

Murty J. S. | Zendy; Sarma C. R. | Zendy

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A method for the construction of orthogonal spin eigenfunctions

Author(s) -

Murty J. S.,

Sarma C. R.

Publication year - 1975

Publication title -

international journal of quantum chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.484

H-Index - 105

eISSN - 1097-461X

pISSN - 0020-7608

DOI - 10.1002/qua.560090615

Subject(s) - eigenfunction , idempotence , spin (aerodynamics) , diagonal , hermitian matrix , permutation (music) , state (computer science) , irreducible representation , spin states , mathematics , representation (politics) , algebra over a field , permutation group , set (abstract data type) , pure mathematics , physics , mathematical physics , quantum mechanics , eigenvalues and eigenvectors , geometry , condensed matter physics , computer science , algorithm , thermodynamics , politics , political science , acoustics , law , programming language

A method for the construction of the essentially idempotent and Hermitian diagonal elements of the matric algebra of the permutation group S n is proposed. For the irreducible representation [λ] = [λ 1 , λ 2 ] characterising a spin state S of an n ‐electron system, it is found that this method generates the complete set of spin projections from the appropriate primitive spin functions. The method is applied to a 7‐electron system in the spin state S = M S = 1/2 and the results are listed in the Appendix.

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