In: Physics
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=