Direction for an electron in the 1s orbital of Hydrogen be?

[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?

 

[quantumdude]

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 a_i of an operator A corresponding to states ψ_i are defined by:

Aψ_i=a_iψ_i.

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

∫ψ*Aψd³x

Can you figure out which one you have here?

 

[R0man]

The direction for an electron in the 1s orbital of Hydrogen would be towards the nucleus, as this is the lowest energy state for the electron in this atom.

The value of linear momentum in the r direction for an electron in the 1s orbital of Hydrogen would be zero, as the electron is in a stationary state and has no motion in the r direction.

This is an eigenvalue as it represents a specific value for the momentum of the electron in the 1s orbital, rather than an expectation value which would be an average of all possible values for the momentum.