Discuss the below:
Q: A particle of mass m is in the one-dimentional potential given by V(x) = Kx^3 for x >= 0, there K is a positive constant. There is an infinite potential barrier at x = 0, so V(0) = infinity. Use the variational principle with the trial wave function
psi(x) = xe^[-alpha x] to estimate the ground-state energy.