The kinetic energy of hydrogen atom wave functions for which ℓ is its minimum value of 0 i...

The kinetic energy of hydrogen atom wave functions for which ℓ is its minimum value of 0 is all radial. This is the case for the Is and 2s states. The 2p state has some rotational kinetic energy and some radial. Show that for very large n, the states of largest allowed ℓ have essentially no radial ldnetic energy. Exercise 55 notes that the expectation value of the ldnetic energy (including both rotational and radial) equals the magnitude of the total energy. Compare this magnitude with the rotational energy alone, L2/2mr2, assuming that/) is large, that ℓ is as large as it can be, and that .