4. Work out the radial wavefunctions R30, R21, and R32 using the recursion relation: r p== ynim R(r) == pe Pu(p) r 2(j+l

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4 Work Out The Radial Wavefunctions R30 R21 And R32 Using The Recursion Relation R P Ynim R R Pe Pu P R 2 J L 1 (29.81 KiB) Viewed 66 times

4. Work out the radial wavefunctions R30, R21, and R32 using the recursion relation: r p== ynim R(r) == pe Pu(p) r 2(j+l+1-n) (j+1)(+20+2) The last expression is for the coefficients of the polynomial v(p). You don't have to normalize them. Note: There were some questions in class today about where this information is. The three equations in Question 4 come from p. 147 in the textbook. The recursion relation for C₁+1 gives the coefficients for a polynomial in p. The polynomial's degree is n-l-1. Equation 4.90 gives the expression for the total wavefunction: 2)(n-e-1)! (na) 2n(n+)! 2/+1 (2) [2 (2r/na)]Y" (0,4) 2+1 na Where is the appropriate associated Laguerre polynomial (Table 4.6). --1