Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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.

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.

icon
Related questions
Question

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 = 1 4TE,a H' = (a) Determine the ground state energy (in eV) and wavefunction of helium atom neglecting the interaction between the two electrons. (b) Use the first order perturbation theory to find the correction to the ground state energy of 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 the ground state energy? Explain why? (No analysis is required) Normalized ground state wavefunction of an electron in a helium atom can be written as 1 r/a with a 0.053 nm. 4 Y100 %3D ta
Transcribed Image Text:If the interaction between the two electrons in a helium atom can be approximated as (2a)*3(ñ - )) with j8(i – )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. (b) Use the first order perturbation theory to find the correction to the ground state energy of 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 the ground state energy? Explain why? (No analysis is required) Normalized ground state wavefunction of an electron in a helium atom can be written as 1 r/a with a 0.053 nm. 4 Y100 %3D ta
ur GYound state eneng y of 'He' atom can vied vanuti on in this me that u tisst use d mut welve frr and b used Homilto ni un und Lendsticn. then rminima etc V, and V, is La p laciun operater for first e and second e. Y, and are distanes from hudeus interection blw c is het present ther the ground state fon fer He would be the wave Produet of two hamalized H' atom wave fan 23 2la. (rit <K.E>+< P.E > %3D LT) 2 a0 <V) = - 2ze? He in thise Cre tuo at m in I ound steite then LT) = 2 22 e2 z? ez 4 zel
Transcribed Image Text:ur GYound state eneng y of 'He' atom can vied vanuti on in this me that u tisst use d mut welve frr and b used Homilto ni un und Lendsticn. then rminima etc V, and V, is La p laciun operater for first e and second e. Y, and are distanes from hudeus interection blw c is het present ther the ground state fon fer He would be the wave Produet of two hamalized H' atom wave fan 23 2la. (rit <K.E>+< P.E > %3D LT) 2 a0 <V) = - 2ze? He in thise Cre tuo at m in I ound steite then LT) = 2 22 e2 z? ez 4 zel
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer