Normalization of Hydrogen wavefunction

[rini]

Homework Statement

Show that the (1 0 0) and (2 0 0) wave functions of hydrogen atom are properly normalized.

Homework Equations

I know that (n l ml):

(100) = (2/a^(3/2)) exp^ (-r/a)

(200) = (1/((2a)^(3/2))*(2-r/a) exp^(-r/2a)

The Attempt at a Solution

I started with H=-ke^2/r+p^2/2m and don't know how to convert the p operator into spherical coordinates

 

[zachzach]

Homework Statement

Show that the (1 0 0) and (2 0 0) wave functions of hydrogen atom are properly normalized.

Homework Equations

I know that (n l ml):

(100) = (2/a^(3/2)) exp^ (-r/a)

(200) = (1/((2a)^(3/2))*(2-r/a) exp^(-r/2a)

The Attempt at a Solution

I started with H=-ke^2/r+p^2/2m and don't know how to convert the p operator into spherical coordinates

(100) = (2/a^(3/2)) exp^ (-r/a) is the wave function. What does it mean for it to be normalized?

 

[jtbell]

I started with H=-ke^2/r+p^2/2m and don't know how to convert the p operator into spherical coordinates

You don't need the p operator, or indeed any operator, in order to normalize the wave function. Look up the definition of what it means for a wave function to be "normalized."