Interpretation of the LCAO-MO-SCF Eigenvalues

Kj leads ultimately to the production of exchange integrals, and so it is called an exchange operator. It is written exphcitly in conjunction with a function on which it is operating, viz. 

Notice that an index exchange has been performed. It is not difficult to see that the expression (see Appendix 9 for hra-ket notation) 

It would appear from Eq. (11-6) that the MOs are eigenfunctions of the Eock operator and that the Fock operator is, in effect, the hamiltonian operator. There is an 

The physical meaning of an eigenvalue Ci is best understood by expanding the integral 

It is common practice to combine the first two terms of Eq. (11-14), which depend only on the nature of (j)i, into a single expectation value of the one-electron part of the hamiltonian, symbolized Hu. Thus, 

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