<div><div>Dear Andrea,</div><div><br></div><div><div>> Here linear combinations means tight binding linear combinations, not</div><div>> combinations of different eigenstates of j^2 and j_z to obtain</div><div>> eigenstates of other operators.</div>
</div><div><br></div><div>Thanks for your answer!</div><div><br></div><div>> This is wrong. Nowhere in the manual there are formulas like these. It</div><div>> is true that in QE we are using real spherical harmonics, but they are</div>
<div>> combined with the correct complex coefficients to obtain complex</div><div>> spherical harmonics that are combined to obtain eigenstates of j^2 and</div><div>> j_z. See the transformation matrix (Eq. A2 in Phys. Rev. B 71, 115106</div>
<div>> (2005)).</div></div><div><br></div><div>Please forgive me for my sloppy notation, I meant no disrespect for the code nor for the underlying theory. My pseudo-formulae "(j,+|m_j|) +/- (j,-|m_j|)" should not be taken seriously, they represent (in a pictorial way) the linear combinations in Eq. A1.</div>
<div><br></div><div>Then again, thanks for your message!</div><div><br></div><div>All the best,</div><div>Rodrigo</div><br><span style="font-family:monospace,fixed;font-size:13px">------------------------------</span><span style="font-family:monospace,fixed;font-size:13px">--------------------------</span><div>
<span style="font-family:monospace,fixed;font-size:13px">Rodrigo Neumann Barros Ferreira</span></div><div><span style="font-family:monospace,fixed;font-size:13px">PhD Student</span></div><div><span style="font-family:monospace,fixed;font-size:13px">Departamento de Física dos Sólidos - Instituto de Física</span></div>
<div><span style="font-family:monospace,fixed;font-size:13px">Universidade Federal do Rio de Janeiro</span></div><div><span style="font-family:monospace,fixed;font-size:13px">Cx.Postal 68.528</span></div><div><span style="font-family:monospace,fixed;font-size:13px">21945-972, Rio de Janeiro - RJ - BRASIL</span></div>
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