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1. Show that the electric dipole matrix elements of hydrogen〈ψ100| r |ψ300〉and <ψ200| r |ψ300〉are zero....

1. Show that the electric dipole matrix elements of hydrogen〈ψ100| r |ψ300〉and <ψ200| r |ψ300〉are zero.

2. Calculate the nonzero matrix elements 〈ψ211| r |ψ300〉,〈ψ210| r |ψ300〉,and〈ψ21−1| r |ψ300〉.

3.Use the result in (b) to find the lifetime of the excited state ψ300 in seconds.

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