[SI-LIST] Re: Si-list is one awesome avenue to learn and contribute to Signal Integrity

For the quantum-level effects on Maxwell's equations, we're talking
about quantum electrodynamics.  You can start no place better than with
one of the discoverers of QED, Richard Feynman:

http://www.amazon.com/exec/obidos/ASIN/0691083886/qid=3D1006971776/sr=3D1=
-22
/ref=3Dsr_1_74_22/107-4481925-3393330

It's actually one of the amazing things about Maxwell's equations that
they are actually useful down to very small scales.  Electromagnetic
interactions between different parts of protein molecules cause the
proteins to bend into their characteristic shapes, but the modeling of
these interactions are typically done classically.

It's a good thing, too, because the math behind QED is reputedly *much*
more difficult than that behind Maxwell's equations.

--=20
Michael Tsuk
Compaq AlphaServer Platform Group
(508) 467-4621



-----Original Message-----
From: Sainath Nimmagadda [mailto:sainath@xxxxxxxxxxxxx]
Sent: Wednesday, November 28, 2001 1:10 PM
To: si-list@xxxxxxxxxxxxx
Subject: [SI-LIST] Re: Si-list is one awesome avenue to learn and
contribute to Signal Integrity



Rob,

Thank you. That is the area I like to get familiar. Please suggest some
references for the quantum level effects and gravitational field effects
on
Maxwell fields.

Sainath

-----Original Message-----
From: Rob Hinz [mailto:rob@xxxxxxxxxx]
Sent: Wednesday, November 28, 2001 9:48 AM
To: sainath@xxxxxxxxxxxxx
Cc: si-list@xxxxxxxxxxxxx
Subject: Re: [SI-LIST] Si-list is one awesome avenue to learn and
contribute to Signal Integrity


Sainath

A couple things you might consider, Maxwell's equations work very well
for
describing the average effects of many photons. When you start looking
at
the quantum level effects of small numbers of photons they don't work so
well. They also predict that TEM waves in free space will propagate in a
straight line but we know that the direction of propagation is effected
by
gravitational fields.

The question Chris was responding to was a philosophical one, comparing
how
we model reality to reality itself. While we may be able to gain
significant insight from a good mathematical model, it remains just
that.
Physics will prevail.

Rob Hinz
Senior Electromagnetics Specialist
SiQual Corporation
rob@xxxxxxxxxx
phone (503)885-1231
fax   (503)885-0550
http://www.siqual.com

At 06:34 PM 11/27/2001 -0800, Sainath Nimmagadda wrote:

>Contributors: please don't mislead learners with statements which you
can't
>support.
>
>Thanks,
>Sainath
>
>-----Original Message-----
>From: si-list-bounce@xxxxxxxxxxxxx
>[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Sainath Nimmagadda
>Sent: Tuesday, November 27, 2001 11:17 AM
>To: cpad@xxxxxxxxx; si-list@xxxxxxxxxxxxx
>Subject: [SI-LIST] Re: Square wave harmonics
>
>
>
>Chris,
>
>Just curious, what imperfections did you find with Maxwell equations?
>
>Sainath
>
>-----Original Message-----
>From: si-list-bounce@xxxxxxxxxxxxx
>[mailto:si-list-bounce@xxxxxxxxxxxxx]On Behalf Of Chris Padilla
>Sent: Tuesday, November 27, 2001 10:57 AM
>To: si-list@xxxxxxxxxxxxx
>Subject: [SI-LIST] Re: Square wave harmonics
>
>
>
>Okay, I must pipe in with my 2=3DA2 worth.
>
>Back in college, I recall solving some problem for frequency.  I ended
up=3D20
>with a quadratic and as we know, there are two answers in the solution
of
a=3D
>=3D20
>quadratic.  It turns out one answer was positive frequency and the
other=3D20
>was negative frequency.
>
>Negative frequency???
>
>We've always been taught to simply "throw away" the "nonsensical" =
or=3D20
>"nonphysical" answer in these cases but does this mean they arent
"true"
in=3D
>=3D20
>some sense?  (One prof talked about anti-matter and negative
frequency=3D20
>being related in some guise...yikes!)
>
>Another example from college involved solving for a particular
resistor=3D20
>with in a network of resistors (typical torture problem from an
eccentric=3D20
>professor).  The final function was a quadratic and you ended up with
a=3D20
>positive resistance and a negative resistance as solutions.
>
>Negative resistance???
>
>This one isn't so far fetched.  Gunn diodes take advantage of the
region
is=3D
>=3D20
>which their I/V plot is negatively sloped.  Oscillators are made
taking=3D20
>advantage of this.
>
>In the end, I have concluded that Mathematics is simply (and usually)
an=3D20
>elegant way to get a grasp (i.e. model, represent) on our physical=3D20
>environment and it isn't perfect.  After all, don't most of us =
take=3D20
>Maxwell's Equations as gospel?  ;^)
>
>Chris Padilla
>EMC Engineer
>Cisco Systems
>
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Rob Hinz
Senior Electromagnetics Specialist
SiQual Corporation
rob@xxxxxxxxxx
phone (503)885-1231
fax   (503)885-0550
http://www.siqual.com

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