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Discuss TWO of the following approximation methods in quantum mechanics. Explain the types of problems to...

Discuss TWO of the following approximation methods in quantum mechanics. Explain the types of problems to which the approximation methods can be applied, how the basic theory is developed, and how they are applied in practice. Include some mathematical details in your answer.

(i) The Hartree theory of atoms and ions.

(ii) The variational method.

(iii) Non degenerate and degenerate perturbation theory.

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