Register to reply 
Calculating the expectation of a quantity using wavefunctions 
Share this thread: 
#1
Mar912, 05:17 AM

P: 339

I am reading the fine structure article from Wikipedia at http://en.wikipedia.org/wiki/Fine_structure.
Under the heading 'Kinetic energy relativistic correction', we have the following: For the hydrogen atom, V = e^{2}/r. This implies that the expectation of V = e^{2}/a_{0}n^{2}. Now, I know that you use the unperturbed wavefunction ψ^{0} to find the expectation of V, but I am not sure of the exact form of ψ^{0}. Any help on this will be greatly appreciated. 


#2
Mar912, 05:18 AM

P: 339

I need the form as I want to calculate the expectation myself. Is there a general formula for the wavefunction?



#3
Mar912, 08:55 AM

Sci Advisor
HW Helper
P: 11,915

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 