Abstract
In Chapter 2 we have constructed N electron spin functions from the N — 1 electron spin eigenfunctions by adding or subtracting the spin of the last electron. In many quantum chemical problems we need to use two-electron spin functions. This problem appears when we consider pairs of electrons like those which form lone pairs or those which participate in chemical bonds. It is therefore important to have a method which uses two-electron spin eigenfunctions as building blocks for the many-electron spin eigenfunctions. Such formalism was proposed by Serber1 and we shall call this method the Serber construction.
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References
Serber, R. Phys. Rev. (1934).45, 461; J. Chem. Phys. (1934) 2, 697.
Salmon W.I. and K. Ruedenberg, J. Chem. Phys. (1972) 57, 2776.
Pauncz R., Int. J. Quantum Chem. (1977) 12, 369.
Corson E. M., Perturbation methods in the quantum mechanics of n-electron systems, (1951) Blackie & Son Ltd. London, p. 214.
Carrington P. J. and G. Doggett, Mol. Phys. (1973) 30, 49.
Pauncz R. and J. Katriel, Chem. Phys. Lett. (1977).46, 319.
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Pauncz, R. (2000). Serber Spin Functions. In: The Construction of Spin Eigenfunctions. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4291-9_3
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DOI: https://doi.org/10.1007/978-1-4615-4291-9_3
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