Series solution method

There are two procedures available for solving this differential equation. The older procedure is the Frobenius or series solution method. The solution of equation (4.17) by this method is presented in Appendix G. In this chapter we use the more modem ladder operator procedure. Both methods give exactly the same results. 

The eigenvalues and eigenfimctions of the orbital angular momentum operator may also be obtained by solving the differential equation I ip = Xh ip using the Frobenius or series solution method. The application of this method is presented in Appendix G and, of course, gives the same results... 

Equation (6.24) may be solved by the Frobenius or series solution method as presented in Appendix G. However, in this chapter we employ the newer procedure using ladder operators. 

The Frobenius or series solution method for solving equation (G.l) assumes that the solution may be expressed as a power series in x... 

We solve this differential equation by the series solution method. Applying equations (G.2), (G.3), and (G.4), we obtain... 

Chapter 3 Series Solution Methods and Special Functions finally obtain the first solution... 

---