Theoretical oscillator strengths in complex

Theoret Loal oscillator strengths in complex atoms 

Show that equation (4.11) for the mean lifetime of a classical oscillator may be rewritten in the form 

An electron is confined to the region 0 x a by an infinitely deep one-dimensional square-well potential. The normalized wavefunctions for the electron are given by 

Show that the matrix elements of the electric dipole moment operator, p=e(x-a/2), taken between states with quantum numbers m and Z are given by 

When a=10ag, show that the first excited state decays with the emission of light of wavelength 3079 % and that the transition probability for decay by the spontaneous emission of electric dipole radiation is 2-25 X 10 s .  

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