Write down the ground state eigenfunction (and spin) of Helium.

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SUMMARY

The ground state eigenfunction of the helium atom is defined as the product of its spin and spatial components. According to Chris Foot's textbook "Atomic Physics," the total ground state eigenfunction ψ is expressed as ψ = ψspin ψspatial = (ms) (u1sunl) = {√1/4π}{(z/a)3/2 (2e-p)}. This formulation integrates the expectation energy of the helium atom, demonstrating the complexity of deriving the eigenfunction from foundational principles. The discussion highlights the challenges faced in understanding historical texts from the 1920s that address this topic.

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Homework Statement


Already it is on title !


Homework Equations


attachents provide the most relevant equations i could find.


The Attempt at a Solution


I have found some old books written in 1920 decade ,dealing with this subject,but the solution they provide seems very hard understand,although it might be correct.

http://books.google.co.uk/books?id=...e&q=helium ground state eigenfunction&f=false

i have in my possesion proof of the formula for the expectation energy of helium atom.
But i don't know if and how could this be related to the ground state eigenfunction.
i can't really provide more relevant formulas ,but it must be appreciated that this is not an easy problem.
 

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In the meantime i have found very important additional information using the textbook of chris foot called atomic physics.
The total groundstate eigenfunction ψ of helium must be the product of spin part and spatial part i.e

ψ= ψspin ψspatial= (according to this textbook) =( ms) (u1sunl) = (according to tables provided in this book i.e table 2.2 )= {√1/4π}{(z/a)3/2 (2e-p)}
 

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