3- The general solution for the radial equation (equation 1) is now takes the form: U(r) = f(t)rl+le-mar/21?. By applyin

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3 The General Solution For The Radial Equation Equation 1 Is Now Takes The Form U R F T Rl Le Mar 21 By Applyin 1 (54.38 KiB) Viewed 26 times

3- The general solution for the radial equation (equation 1) is now takes the form: U(r) = f(t)rl+le-mar/21?. By applying this solution to equation 1 (you do not need to carry It up), the radial equation takes the form d?(r) #f0+2(4+1 on one mw df mw meses de 2mE + h2 dra - (21+3) () = 0 Ñ Now: Apply the power series solution f() = Ano anr" to show that 0) All odd parameters vanish (an=oda = 0) 1-2mE mo li) an+2= y me (2n+21+3)] (n+2)(n+21+3) an 1) Enx = (n +1+hw, where n = even Check the subjects the free particle" and "Particle in an infinite spherical well" in your textbook pages 140-144