how do you do part A? it still complicated to me In the spherical coordinates, the spin-less electron radial wave functions of the twolowest energy states (i.e. n= 1 and 2) of the time-independent Schroedinger equation forthe hydrogen atom are known to be:-3/2R,(r) = 2a'erlaoand R,(r) = (2a,)-r/2a,erespectively, where a, isthe Bohr radius.(a) What are the algebraic expressions of the total wave functions, @ (n,l,m,), forP (1,0,0), 9(2,0,0), and (2,1,0), respectively?(b) If one includes the electron spin, how many states are available for n= 2? Show yourwork.

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In the spherical coordinates, the spin-less electron radial wave functions of the two lowest energy states (i.e. n= 1 and 2) of the time-independent Schroedinger equation for the hydrogen atom are known to be: R,(r) = 2a, -3/2 e-rlao and R,(r) = (2a.)~" -3/2 -r/2a, le , respectively, where a is the Bohr radius. (a) What are the algebraic expressions of the total wave functions, (n,l, m,), for P (1,0,0), 9(2,0,0), and ø(2,1,0), respectively? (b) If one includes the electron spin, how many states are available for n= 2? Show your work.

In the spherical coordinates, the spin-less electron radial wave functions of the two lowest energy states (i.e. n= 1 and 2) of the time-independent Schroedinger equation for the hydrogen atom are known to be: R,(r) = 2a, -3/2 e-rlao and R,(r) = (2a.)~" -3/2 -r/2a, le , respectively, where a is the Bohr radius. (a) What are the algebraic expressions of the total wave functions, (n,l, m,), for P (1,0,0), 9(2,0,0), and ø(2,1,0), respectively? (b) If one includes the electron spin, how many states are available for n= 2? Show your work.