Is transmission eigenstate normalized?

[wot19920302]

Dear Quantumwise staffs:
        I wanna know whether all transmission eigenstates calculated with certain energy E and kpoint k have been normalized?

[wot19920302]

can anyone help me?

[Anders Blom]

Do you mean the eigenstate or the eigenvalues, actually? Well, both are normalized, so eigenvalues range from 0 to 1, and the eigenstates should integrate to 1 over space.

[wot19920302]

Thanks for your help. If transmission egenstate is normalzied, I have then have another question. As seen in Figure1 in the attachment, one transmission eigenstate looks delocalized and the other one looks localized around left electrode and central molecule. If delocalzied states can integrate to 1 over space, why the localzied one can intergrate to 1, either?  (two states with the same isovalue)

[Anders Blom]

The isovalue plot doesn't tell you anything about the integral of the whole function over all space...