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qm/que/06 003 --- Average value

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     For a particle moving in spherically symmetric potential             $$V(r) = -V_0 \exp(-r/r_0)$$       and  having the wave function               $$\psi(r) = N \exp(-\alpha r/r_0) $$       show that        $$\langle \mbox{ K.E. } \rangle = {\hbar^2\alpha^2\over 2mr_0^2} ;
         \qquad \langle\,V(r)\,\rangle = -{8V_0 \alpha^3\over (2\alpha +1)^3}$$

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