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There is an updated list of errata* for the 3rd edition of Jensen's book at https://chem.au.dk/~frj/corrections_ICC3.html, which includes the mistake you pointed out (and more). It reads: page 138, (4.29), third line should read: [chiAchiA - chiBchiB](alpha.beta - beta.alpha) - [chiAchiB - chiBchiA](alpha.beta + beta.alpha) page 138, (4.29), fourth line ...


2

In a nutshell The tight-binding model relies on the assumption that we can forgo the GLOBAL antisymmetry of fermions and instead purely work with a LOCALLY antisymmetric basis. In that sense, the tight-binding model is an approximation to the total wavefunction that uses site-specific antisymmetric wavefunctions to form basis states for the total wave-...


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