Auseful integralfor Hydrogen atom calculations is.
∫∞0dx xne−ax=n!
an+1
 - See Example 16.4.2:What is the expectation value of^1 rin the stateψ 100 ?* 
 
 - See Example 16.4.3:What is the expectation value ofrin the stateψ 100 ?* 
 
 - See Example 16.4.4:What is the expectation value of the radial component of velocity in the state 
 
