Re: electron

----- Original Message -----
From: "Bjoern Feuerbacher" <feuerbac@xxxxxxxxxxxxxxxxxxxxxxxx>
Newsgroups: sci.physics
Sent: Thursday, April 28, 2005 10:59 AM
Subject: Re: electron


> patrick wrote:
>
> [snip]
>
>
>> Bjoern
>> In Beiser Concepts of Modern Physics (an old edition) is done a
>> calculation for the electron in Hydrogen atom.
>
> How? What line of reasoning does he use in the calculation?
>
>
>> The average x postion is shown to be a constant over time.
>
> Averaged over what?

This is his calculation:
Considering only the x coordinate:
x_average=Integral{ x PSI PSI*}dx where PSI is the nornmalized wave
function.

For a quantum number n and energy E_n the time dependant wave function
PSI_n=psi_n exp{-(2pi iE_n/h)t }.
He substitutes PSI_n into x_average and gets
x_average=Integral{x PSI_n PSI_n*}dx
=Integral{x psi_n psi_n*}dx

which is constant since psi_n and psi_n* are functions of position only.The
electron does not oscillate and no radiation occurs.So an atom in a specific
quatum state does not radiate.

He goes on to show how in a jump from E_m to E_n that an atom radiates
during the transition at the predicted frequency (E_m-E_n)/h by showing
x_average varies with time during the transition.

Hence my conclusion of stationary electron.

patrick
[snip]


.

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