19.7 The variation principle can be used to formulate the wavefunctions of electrons in atoms as well as molecules. Suppose that the function Wma = N(a)e* with N(a) the normalization constant and a an adjustable parameter, is used as a trial wavefunction for the 1s orbital of the hydrogen t atom. Show that 3ah? 2a - 2e E(a)=- where e is the fundamental charge, and µ is the reduced mass for the atom. What is the minimum energy associated with this trial wavefunction?
19.7 The variation principle can be used to formulate the wavefunctions of electrons in atoms as well as molecules. Suppose that the function Wma = N(a)e* with N(a) the normalization constant and a an adjustable parameter, is used as a trial wavefunction for the 1s orbital of the hydrogen t atom. Show that 3ah? 2a - 2e E(a)=- where e is the fundamental charge, and µ is the reduced mass for the atom. What is the minimum energy associated with this trial wavefunction?
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Transcribed Image Text:19.7 The variation principle can be used to formulate the wavefunctions
of electrons in atoms as well as molecules. Suppose that the function
Wma = N(a)e* with N(a) the normalization constant and a an adjustable
parameter, is used as a trial wavefunction for the 1s orbital of the hydrogen
t
atom. Show that
3ah?
2a
- 2e
E(a)=-
where e is the fundamental charge, and µ is the reduced mass for the atom.
What is the minimum energy associated with this trial wavefunction?
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