eigenvalues

[carmen electron]

What would the value of linear momentum in the r direction for an electron in the 1s orbital of Hydrogen be?

Is this an expectation value or eigenvalue?

[Tom Mattson]

Originally posted by carmen electron
What would the value of linear momentum in the r direction for an electron in the 1s orbital of Hydrogen be?


I really think you should be doing yer own homework [;)], but I'll give a little hint. Linear momentum is pψ=i(hbar)gradψ. Use the appropriate component.


Is this an expectation value or eigenvalue?


The eigenvalues ai of an operator A corresponding to states ψi are defined by:

Aψi=aiψi.

The expectation value of an operator A in state ψi is defined by:

∫ψ*Aψd3x

Can you figure out which one you have here?