Calculating the expectation of a quantity using wavefunctions

by failexam
Tags: expectation, quantity, wavefunctions
failexam is offline
Mar9-12, 05:17 AM
P: 338
I am reading the fine structure article from Wikipedia at

Under the heading 'Kinetic energy relativistic correction', we have the following:

For the hydrogen atom, V = e2/r. This implies that the expectation of V = -e2/a0n2.

Now, I know that you use the unperturbed wavefunction ψ0 to find the expectation of V, but I am not sure of the exact form of ψ0. Any help on this will be greatly appreciated.
Phys.Org News Partner Physics news on
Physicists consider implications of recent revelations about the universe's first light
Vacuum ultraviolet lamp of the future created in Japan
Grasp of SQUIDs dynamics facilitates eavesdropping
failexam is offline
Mar9-12, 05:18 AM
P: 338
I need the form as I want to calculate the expectation myself. Is there a general formula for the wavefunction?
dextercioby is offline
Mar9-12, 08:55 AM
Sci Advisor
HW Helper
P: 11,863
Usually the expectation value is computed with the ground state wavefunction. You can find the n=1, l=0, m=0 wavefunction in any book on QM.

Register to reply

Related Discussions
calculating expectation Set Theory, Logic, Probability, Statistics 6
calculating expectation value of angular kinetic energy Biology, Chemistry & Other Homework 0
Calculating expectation value Quantum Physics 2
Calculating wavefunctions, checking ortogonality, expectationvalue and momentumvalue Advanced Physics Homework 12
Quantum problem - Calculating the expectation value of energy? Advanced Physics Homework 3