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note
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The many-particle wave functions of half-filled conjugated polymers such as PDPA exhibit particle-hole (charge-conjugation) symmetry when treated using the models such as the Hubbard model and the P-P-P model. Therefore, for every configuration which contributes to its wave function, its charge-conjugated (c.c.) counterpart will contribute in equal measure. For example, if configuration |H → L + 1〉 occurs in the wave function with coefficient 0.69, configuration |H - 1 → L〉 will also occur in the wave function with coefficient of the same magnitude (although, the sign could be reversed). Thus, we will use shorthand notation |H → L + 1〉 + c.c. (0.69) to denote the contribution of these configurations to the wave function. Above, H/L refer to HOMO/LUMO orbitals.
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