Angular dependence (atomic and molecular physics)

AI Thread Summary
The discussion focuses on the angular probability distribution of the hydrogen atom's ground state, represented by the spherical harmonic function Y00=1/(sqrt(4pi)). It highlights that the probability remains constant regardless of changes in the angles θ or Φ, indicating a uniform distribution. Participants seek clarification on how to formally express this uniformity in terms of probability distribution. The term "uniform" is suggested as an appropriate descriptor for the distribution. Overall, the conversation emphasizes understanding the implications of the spherical harmonic function in atomic physics.
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Homework Statement


> 'from the form of the spherical harmonic function Y00=1/(sqrt(4pi)), what
> can be said about the angular probability distribution of the ground state
> of the hydrogen atom?'


Homework Equations





The Attempt at a Solution


notes and textbook don't help
its prob something v obvious that i just don't get. i'd much appreciate it if someone can help please
 
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Put another way, how does the expression

1/(sqrt(4pi))​

change when either θ or Φ is changed?
 
it doesn't?so the probability of the function being at any angle is the same?how would i write that formally though,please?
so i'd say the probability distribution is...
is there a word i can put instead of the three dots to describe this?
 
"uniform"
 
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