[simonsci]

Hi. I read the books (Density functional theory of atoms and molecules) and find that it have a notation shown at the bottom of the image (a bar and a round bracket (not angle bracket). Anyone know what is that? Thankss.

[simonsci]

|x)=|x>?

[Arkcon]

Seems to me like there's a typo, basic ket should read basic set.  Possibly, advanced mathematics of the sort used for physical chemistry isn't my strong suit.  So maybe someone can confirm.

[simonsci]

Thanks for your reply. I had the same thought initially, but later I found that this is used several times in the book, as shown in the image below.

[Borek]

Have you checked if there is no appendix on the notation used?

[simonsci]

checked. There is no appendix about this.

[Irlanur]

well, Eq. 2.1.27 says what it is. the |a1 a2 a3 ...) means a product of one-electron functions (i.e. orbitals).

Eq. 2.1.28 then uses the antisymmetrizer. apparently the |a1 a2 a3> is then the antisymmetrized wavefunction, also known as Slater determinant.

I never seen this notation but I guess it makes some kind of sense.