Question

(a)Use the variational principle to estimate the ground state energy of a particle of mass m subject to the potential:
v(x)=infinity, x<0;
=cx, x>0;
(b)Find the exact ground state and the exact ground state energy for the potential in part (a). Compare the exact result with the approximate one.

(c)Give two physical examples for parts (a) and (b),give the expressions for c,the approximate ground state energy, and the exact ground state and exact ground state energy for both cases.