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In: Physics

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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