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?

icon
Related questions
Question
100%
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?
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer