- 19

- 0

**1. Homework Statement**

Two-electron Wavefunction: ψ(r

_{1},r

_{2},r

_{12}) = exp(-Ar

_{1}-Br

_{2}-Cr

_{12}), r

_{12}= |r

_{1}-r

_{2}|

A, B, and C are coefficients

Calculate <ψ|δ(r

_{12})|ψ> and <ψ|δ(r

_{1})|ψ>

**2. Homework Equations**

NO

**3. The Attempt at a Solution**

<ψ|δ(r

_{12})|ψ>

= ∫∫dv

_{1}dv

_{2}ψ

^{2}(r

_{1},r

_{2},r

_{12})δ(r

_{12})

=4π∫dr

_{2}ψ

^{2}(r

_{2},r

_{2},0)

<ψ|δ(r

_{1})|ψ>

= ∫∫dv

_{1}dv

_{2}ψ

^{2}(r

_{1},r

_{2},r

_{12})δ(r

_{1})

=4π∫dr

_{2}ψ

^{2}(0,r

_{2},-r

_{2})

Could you tell me where I am wrong?

Best regards.

sandf

Last edited: