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

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Physics

For the some unknown Hamiltonian, we will use a trial wavefunction ?? = ??1??1 +??2??2 . Where ??1 ?????? ??2 are knownfunctions

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

b. Minimizing the average energy will lead to a secularDeterminant.Write down an expression for the Secular Determinantfor 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 (2points)

??22=

??21=

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