I have the solution for the first sub question but the handwriting is bad. Could someone help me to solve the whole problem? If the interaction between the two electrons in a helium atom can be approximated as(2a)*3(ñ - )) with j8(i – )dV = 14TE,aH' =(a) Determine the ground state energy (in eV) and wavefunction of helium atom neglectingthe interaction between the two electrons.(b) Use the first order perturbation theory to find the correction to the ground state energyof helium atom using the interaction between electrons given by the H'.(c) Calculate the ground state energy in eV including the correction obtained in part (b).Compare this with the experimental value of -79 eV.(e = 1.60x1019 C and ɛ, = 8.85x1012 F/m)(d) Do you think the finite size of the nucleus of helium atom could significantly alter theground state energy? Explain why? (No analysis is required)Normalized ground state wavefunction of an electron in a helium atom can be written as1r/a with a0.053nm.4Y100%3Dta ur GYound stateeneng yof 'He' atomcan vied vanuti oninthisme thatu tisst use dmutwelve frrandb used Homilto ni un undLendsticn.thenrminimaetcV, and V, isLa p laciun operater forfirst eandseconde. Y, andare distanes from hudeusinterection blwc is hetpresentthertheground statefon ferHewould be thewaveProduetoftwo hamalized H'atom wave fan23 2la. (rit+< P.E >%3DLT)2 a0

Using zeroth order approximation ψ is obtained by neglecting electron-electron repulsion. The…

Answered: If the interaction between the two…

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If the interaction between the two electrons in a helium atom can be approximated as e? -(2a)*8(ñ – i2) with 18(ñ - )dv = 1 4TE,a H' (a) Determine the ground state energy (in eV) and wavefunction of helium atom neglecting the interaction between the two electrons.