## Re: some more questions

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• ... the orbits ... electrons. ... You have no radiation from a stationary orbit because there is no motion of the electrons. The stationary solution does
Message 1 of 12 , Nov 11, 2002
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--- In bell_bohm@y..., "atillagurel" <admin@p...> wrote:
> --- In bell_bohm@y..., "Charles " <chafihar@y...> wrote:
> > --- In bell_bohm@y..., "atillagurel" <admin@p...> wrote:
> > > --- In bell_bohm@y..., "Charles " <chafihar@y...> wrote:
> > >
> > > > The same thing happens in Bohmian mechanics since
the 'orbits'
> > for
> > > > stationary states do not constitute net motion of the
electrons.
> > > >
> > >
> > > What do you mean by net motion ?
> > > Do you mean time average?
> >
> > Precisely!
> >
> > Charles
> >
>
> But the problem is if Maxwell equations work
> at every *instant* and if we apply them to a
> point electron in a stationary orbit
> , the electron should rapidly radiate
> because of the accelerated motion in the
> orbit.

You have no radiation from a stationary orbit because there is no
motion of the electrons. The stationary solution does not represent
the motion as if time is running, but rather, as if the motion takes
an infinite time. For this reason, stationary solutions do not occur
in reality but are only abstractions that are approximated.

> That the time average is stationary doesn't
> mean anything if you believe that Maxwell
> equations are valid at every *instant* in the
> atom. If you don't believe this then you have
> to change the laws of electrodynamics
> to understant why a stationary orbit is more
> stable then a nonstationary one.
>
> Again the problem in dBB is not how external
> fields effect the pointlike electron but how
> the energy dissipation by radiation reaction
> because of electrons motion acts back on the
> electrons motion. dBB cannot explain this.
>
> However in Schroedinger interpretation one doesn't
> get these problems because since psi^2 is
> *the charge density* [1]and since it is stationary
> in energy eigenstates it is natural why
> there is no radiation reaction effect in stationary
> states and why spontaneous emission occur in form
> of jumps from one state to another rather then as
> a continuos deceleration of the pointlike electron.
>
> In fact in Rydberg atoms one can create very
> localized wave packets orbiting the nucleus
> in a Kepler orbit . This can however be
> understood as merely consequence of wave function
> dynamics. The radiation behavior (the quantum beats)
> indicate the structure of the classical-like
> wave packet.
>
> Tus one doesn't need a pointlike entity since
> the localized wave packets well behave like
> a classical particle in potential that
> change smoothly.
>
> Atilla
>
> [1] of course this is true only for a single particle
> in many particle system the total charge density is
> sum of integrals in configurations space .
>
> > > Atilla
> > >
> > > > Charles
> > > >
> > > > >
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