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What is the classical analog for l=0 state?

Angular momentum = 0 , what kind of orbits is that?

Angular momentum = 0 , what kind of orbits is that?

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- Thread starter quantum123
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- #1

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What is the classical analog for l=0 state?

Angular momentum = 0 , what kind of orbits is that?

Angular momentum = 0 , what kind of orbits is that?

- #2

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- 1

http://en.wikipedia.org/wiki/Bohr_model

The centrifugal force experienced by the electron will be balanced by the electrostatic attraction it experiences from the nucleus. This force balance condition will give you the velocity of the electron as a function of the radius. This functional dependence goes like [itex]1/\sqrt{r}[/itex]. The angular momentum of this electron is given by [itex]L = mvr[/itex]. Therefore, the angular momentum depends on radius as [itex]\sqrt{r}[/itex]. Consequently, the angular momentum is zero when radius is zero. Hence we do not really have an orbit.

- #3

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I find the l=0 state to be one that the quantum and classical pictures differ most strikingly.

- #4

DrDu

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- #5

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Yes, that is a good example.

- #6

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Nuclear size being 10-15m, the electrostatic attraction tends to negative infinity. Will the electron speed exceed speed of light?

- #7

DrDu

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