For the some unknown Hamiltonian, we will use a trial wave function ?? = ??1??1 +...

For the some unknown Hamiltonian, we will use a trial wave function ?? = ??₁??₁ + ??₂??₂ . Where ??1 ?????? ??2 are known functions

a. What are the variational parameters of this trial wave function (2 points)?

b. Minimizing the average energy will lead to a secular Determinant.Write down an expression for the Secular Determinant for this system using the following symbols (4 points)

??_11, ??₁₂ = ??_21, ??₂₂, ??_11, ??₁₂ = ??_21, ??_22, E.

c. Write a mathematical expression using ??₁, ??₂, and any necessary operators to define (2 points)

??₂₂=

??₂₁=

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Expert Solution

genius_generous answered 1 year ago

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