ATOMC AND NUCLEAR PHYSICS PLEASE HELP WITH THE QUESTION BELOW Question 1 The radial wave function Re(r) of a hydrogen-like atom with atomic number Z is given by R(r)= (n-l-1)! (223/2 2n[(n+1)! nao, e-P/²1(P), where an is the Bohr radius, p=2Zr/na, is the transformed distance from the nucleus, and L2+¹(p) are associated Laguerre polynomials, which here we define as n+1 121 (p)=(-1)+2+1_ [(n+1)!² (n-l-1-k)!(2l+1+k)!k!” k=0 (a) Calculate the Laguerre polynomials for n=0,1,...,4, and = 0,2 (b) Calculate the hydrogen-like radial wave functions for 1s, 2p, 3s and 4d states 69 90%

ATOMC AND NUCLEAR PHYSICS PLEASE HELP WITH THE QUESTION BELOW Question 1 The radial wave function Re(r) of a hydrogen-like atom with atomic number Z is given by R(r)= (n-l-1)! (223/2 2n[(n+1)! nao, e-P/²1(P), where an is the Bohr radius, p=2Zr/na, is the transformed distance from the nucleus, and L2+¹(p) are associated Laguerre polynomials, which here we define as n+1 121 (p)=(-1)+2+1_ [(n+1)!² (n-l-1-k)!(2l+1+k)!k!” k=0 (a) Calculate the Laguerre polynomials for n=0,1,...,4, and = 0,2 (b) Calculate the hydrogen-like radial wave functions for 1s, 2p, 3s and 4d states 69 90%