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PROBLEM 3. Using the variational method, calculate the ground state en-
ergy Eo of a particle in the triangular potential:
U(r) = 0 r < 0;
and
U(r) = Fx, x > 0.
Use the trial function
v(x) = Cx exp(-ar),
where a is a variational parameter and C is a normalization constant to
be found. Compare your result for Eo with the exact solution, Eo
1.856(h? F/m)/3.

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