Please answer part b). Part a) here: http://www.cramster.com/answers-apr-11/physics/quantum-mechanics_1268247.aspxShow transcribed image text
Please answer part b). Part a) here: http://www.cramster.com/answers-apr-11/physics/quantum-mechanics_1268247.aspxShow transcribed image text In the final problem of HYS3220 we derive the analytic solution for the radial equation of hydrogen atom. This one of the most important derivations in quantum mechanics. Stationary states for the hydrogen atom that are also eigenstates of L2 and L1 take the form where vint(r) solve the radial equation with m, is the mass of the electron and k = 1/(4 pi epsilon 0). Divide Wq. (1) by and define a variable ,where r' is for you to determine such that the first and the last term take the form What is r'? what is the sign of E appropriate to bound states, and given this, is r' real and positive? Next find a constant rho 0 such that Eq. (1) can be written as Show that the asymptotic solution of Eq.(3) in the limit r rightarrow infinity can be written as: u = A exp(- rho ) + exp(+ rho ) Which constraint do you have to put on A and B to make sure the wavefunction from blowing u?