For a hydrogen-like atom with atomic number of Z, calculate the Ze² expectation values of (a) r and (b) potential energy (U = Απερτ, the 2s state. Note that the wave function for the 2s state is 3/2 = ( 2 ) ³1² (2- ²r) e-(Z/20 425 = √√32π in
For a hydrogen-like atom with atomic number of Z, calculate the Ze² expectation values of (a) r and (b) potential energy (U = Απερτ, the 2s state. Note that the wave function for the 2s state is 3/2 = ( 2 ) ³1² (2- ²r) e-(Z/20 425 = √√32π in
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Transcribed Image Text:For a hydrogen-like atom with atomic number of Z, calculate the
expectation values of (a) r and (b) potential energy (U = - Zee²) in
Απερτ,
the 2s state. Note that the wave function for the 2s state is
1
√3²2π (2) ³/2 (2.
)e-(z/2a0)r.
425
=
Z
ao
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