> In a discussion of Heisenberg's Uncertainty Principle I read that we
> must shine light on a particle to measure its position and velocity.
> How does this work exactly? Does the particle cast a shadow on a wall
> detector? Or is its position inferred some other way?
nope, it is position and momentum.
google for it.
Scott H - 27 Feb 2007 21:29 GMT
> > In a discussion of Heisenberg's Uncertainty Principle I read that we
> > must shine light on a particle to measure its position and velocity.
[quoted text clipped - 4 lines]
>
> google for it.
Momentum is just mass times velocity, so measuring momentum amounts to
measuring velocity and vice versa.
PD - 27 Feb 2007 22:38 GMT
> > "Scott H" <zinites_p...@yahoo.com> wrote in message
>
[quoted text clipped - 11 lines]
> Momentum is just mass times velocity, so measuring momentum amounts to
> measuring velocity and vice versa.
That is true for measuring slow-moving (compared with c), massive
objects. This is NOT the momentum for a photon, for example, and so
the uncertainty in momentum of a photon does NOT amount to an
uncertainty in the velocity of the photon.
Igor - 28 Feb 2007 17:27 GMT
> > "Scott H" <zinites_p...@yahoo.com> wrote in message
>
[quoted text clipped - 11 lines]
> Momentum is just mass times velocity, so measuring momentum amounts to
> measuring velocity and vice versa.
Not in general. That's only true for inertial momentum. There can be
other forms.
> In a discussion of Heisenberg's Uncertainty Principle I read that we
> must shine light on a particle to measure its position and velocity.
Not true.
However, any attempt to measure position and velocity
of a particle must involve disturbing both with your
measuring technique, at least a little. We can't measure
without the particle interacting with our measuring
equipment.
> How does this work exactly?
You misunderstood. Perhaps it was a hypothetical
measuring technique that involved bouncing
photons (not necessarily visible light) off the
particle. But there are many possible techniques.
It was probably just a general discussion about
how measuring involves disturbing.
- Randy
Androcles - 27 Feb 2007 21:20 GMT
>> In a discussion of Heisenberg's Uncertainty Principle I read that we
>> must shine light on a particle to measure its position and velocity.
[quoted text clipped - 15 lines]
> It was probably just a general discussion about
> how measuring involves disturbing.
HUP says you cannot measure both momentum and
position precisely (but you can measure either
one as precisely as you like).
Dp * Dx ~ h.
http://www.aip.org/history/heisenberg/
> In a discussion of Heisenberg's Uncertainty Principle I read that we
> must shine light on a particle to measure its position and velocity.
> How does this work exactly? Does the particle cast a shadow on a wall
> detector? Or is its position inferred some other way?
It's not complicated. When you look at a ball to measure its position,
it is illuminated. When you take a strobe photo of it, it is
illuminated. This light is intercepted by your eye or by a camera
CCD.
The global statement is that the exchange of light between the ball
and a detector represents an *interaction* between the ball and the
detector. There is absolutely no way for a detector to *detect* an
object without some sort of interaction like this. The interesting
thing is that this interaction, the exchange of light for example,
also passes the things that light carries: momentum, energy, spin,
etc. This means that there is a *transfer* of these properties from
the ball to the detector, and that in turn means that the momentum,
energy, spin (etc.) of the ball is different after the interaction
than what it was before. There is simply no way to detect an object
without affecting the properties of this object.
The very act of *seeing* an object involves changing something about
that object. This is what the uncertainty principle conveys in more
precise terms.
PD
G. L. Bradford - 28 Feb 2007 11:34 GMT
>> In a discussion of Heisenberg's Uncertainty Principle I read that we
>> must shine light on a particle to measure its position and velocity.
[quoted text clipped - 23 lines]
>
> PD
The 'light transmitted' distant UNIVERSE [observed] in and by the lens of
a telescope. The very light itself. "There is absolutely no way for a
detector to *detect* an object without some sort of interaction..." "There
is simply no way to detect an object without affecting the properties of
this object." "The very act of *seeing* an object involves changing
something about that object."
Light waves, as they expand in space and up through time away from the
point of propagation in space and time (no longer affiliated with the source
of propagation) merge with other light waves also expanding, thus gaining
more and ever more periphery of space and time, thus submerging
(contracting) points of propagation by way of all that accelerating
accumulation of periphery, now being a vastly expanded universe of vastly
contracted points, strikes and enters into the material mass [universe] of
the telescope's lens suddenly to thereto interact, transfer, and receive
transference, regarding "properties." An exchange that will, in sheer
magnitude, enormously exceed all accumulated prior [countless] exchanges.
You bear repeating once more for those too many today who have the
retentive capacity of a two year old. "There is absolutely no way for a
detector to *detect* an object without some sort of interaction..." "There
is simply no way to detect an object without affecting the properties of
this object." "The very act of *seeing* an object involves changing
something about that object."
Something else that seems to me is all but totally unrealized by
astronomers, cosmologists, and most physicists too (if not all). Buried
very, very, deep inside the causing event, and the simultaneous event of
light propagation, is the Planck horizon. Inherent to both the message and
the messenger, any continuous submergence (contraction) of a point of
propagation within light waves, within the waves' innumerable points, via
continuous mergers and accumulations of message (universe) periphery, should
be contraction toward some graduating entanglement of the vastly, vastly,
contracted message itself with that horizon-property of the messenger
itself. It is my thought that the farthest horizon searched for in the
message from farthest out itself, and the horizon-property possessed by the
messenger itself, happen to be one and the same horizon. So which way is it
being approached? In which entity? In the magnification of the message? Or
in the magnification of the messenger so tightly entangled with -- so
tightly imposed upon -- the message? This is the one kind of messenger that
is all but completely -- indivisibly and dominatingly -- merged with the
message.
GLB