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Normalization of Hydrogen wavefunction

  • Thread starter rini
  • Start date
  • #1
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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

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
258
1

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

Homework Statement





Homework Equations





The Attempt at a Solution

(100) = (2/a^(3/2)) exp^ (-r/a) is the wave function. What does it mean for it to be normalized?
 
  • #3
jtbell
Mentor
15,550
3,490
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."
 

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