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| From: Rowan Crawford |
29/09/99
19:37:43
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| Subject: Quantum Mechanics |
post id:
41065
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I recently read
http://www.newscientist.com/nsplus/insight/quantum/genious.html this
very well written article about quantum mechanics and managed to gain a
much clearer understanding of it than I ever achieved at uni.
While
I'm willing to accept that a partical really doesn't have a defined
existance (bad word?) until you actually look at it, I'm curious about how
this conclusion was reached? I mean, if you only know what it's settings
are when you look at it, how is that different to anything else in the
world? Just because I haven't looked to see if there is/isn't a tiger in
my other room doesn't mean that there really IS one in there, along with
probabilities of being everywhere else that I haven't looked. Or does it?
:}
I guess what I mean is, if you only see the settings of the
particle when you look, how could you ever know that they didn't have
those settings prior to looking? Another example; if someone hands me a
pool table ball that I haven't looked at (and lets assume no one else did
either), and then I open my eyes and see that it's green, was it not green
before I looked at it too?
The thing I found interesting about this
idea that reality only resolves itself when you look at it is that it
sounds like a really high tech virtual reality, where the program only
resolves the detail you're looking at. Maybe our whole universe is god's
Holodeck ;).
Rowan.
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| From: Matt |
29/09/99
21:29:45
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| Subject: re: Quantum
Mechanics |
post id:
41090
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The best experiment to date to
investigate elements of reality is the GHZ experiment. Check this
out!
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| From: Chris W (Avatar) |
29/09/99
22:09:38
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| Subject: re: Quantum
Mechanics |
post id:
41102
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Here are some thoughts from a
decidedly under-qualified author (who's nevertheless going to inflict
himself on you):
The interaction of observer and observed in the
quantum world is different to our everyday experience. Our ability to
accurately measure quantum quantities is driven by a principle espoused by
Werner Heisenberg in 1927: The
Heisenberg Uncertainty Principle. The principle is an upshot of
thought on the proposition that you cannot measure anything without
interacting with it in some way. The interactions involved in measuring
quantities have a small impact on the properties of the observed object
that limits the absolute accuracy of the measurement. The limited accuracy
is inherent in the system and cannot be avoided.
By way of example,
let's measure the position of an electron by shining light (photons) on
it. Every photon that hits the electron will impart a small amount of
energy that causes the electron to move. This motion (change in momentum),
a direct result of observation, is the source of uncertainty in the
object's position. Using photons of shorter wavelength allows more
accurate measurement of the position of the electron but at a cost;
shorter wavelength photons have higher energy thereby changing the
momentum of the object by more. The better we know the position, we less
we know about the momentum. Heisenberg worked out that there was a
relationship between the uncertainties:
DxDp > h/2p Planck's Constant h = 6.33 x 10- 34
Joules-seconds x and p are position and momentum
respectively.
Without actually measuring the position of the
electron, the best you can do is to describe the probability that it will
be in a certain area at any given time. An electron in an atom is very
highly likely to be in one of the locations dictated by the Pauli
Exclusion Principle (another story) but has a very small but non-zero
probability of being found on the far side of the room.
I guess what I mean is, if you only see the settings of the
particle when you look, how could you ever know that they didn't have
those settings prior to looking? Another example; if someone hands me a
pool table ball that I haven't looked at (and lets assume no one else did
either), and then I open my eyes and see that it's green, was it not green
before I looked at it too?
I think you could get into a
serious philosophical argument over whether the particle does or does not
have properties independent of observation. The particle can be of thought
of as having a superposition of all possible properties before
observation, collapsing to a single set when measured (the basis of
quantum computing). Alternately, you could argue that the particle has no
real existence until observed, so the question of its properties is moot.
I really can't expound the consensus on this topic (if indeed there is
one).
You might want to check the Oranges thread in the FAQ before
opening this can of worms.
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| From: Dr. Ed G
(Avatar) |
30/09/99
5:38:42
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| Subject: re: Quantum
Mechanics |
post id:
41147
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A lot if it derives from the
wave-particle dilema of light. Late last century and in the early part of
this century there was much debate about whether light consisted of waves
or particles. A clinching piece of evidence that it was a wave was Young's
two-slit experiment in which light is shown to interfere with itself,
something that ony a wave-like entity can do. However, a clinching piece
of evidence that it was made of particles was the photoelectric effect, in
which the total energy of the light is irrelevant, and only the
wavelength, which turned out to be the equivalent of the energy of
individual packets or quanta (photons), of light mattered.
So, with
evidence on both sides which was it/is it? The answer is that it is
both... or rather neither... or rather light is made up of entities that
behave differently depending on how you measure them. If you use a
double-slit, they act like waves. If you use a photo-detector (which works
via the photoelectric effect) they act like particles.
Now, the
point you're making is that how can we know what they're doing between
measurements? We can now this because the way a measurement is made can be
used to control the probability of the outcome of successive measurements
in a way that only makes sense if "all bets are off" about the nature of
these particles, in between the measurements.
Let's take the
two-slit experiment again. This works by shining a single source of light
onto two slits which are very close together, and which the light can pass
through. The effect of this is that if you put a screen some distance
further along from the slits, the beams that go through each of the slits
interfere with each other and generate an interference pattern. Now, there
are two extremely subtle and interesting things about the details of this
experiment when you alter it slightly.
You can organise the light
source to be sooo dim, that at most only one photon passes though
the slits at any one time, and this doesn't change the result. This means
that single photons must be able to interfere with themselves (not to put
too fine a point on it), and this means that a single photon must be able
to pass through both slits at the same time! No problem, of course,
if you accept that it is a wave. However, if you try and catch an
individual photon going through both slits at the same time, it
won't. If you put a light detector at the exit of both slits you will
only see a photon going through one of the slits at any given time.
Furthermore, if a photon only goes through one slit at a time, then it
cannot possibly interfere with itself, and an interference pattern should
not form... and this is exactly what happens. If you try and be
clever and try and catch a photon going through two slits at once, not
only will you fail, but the interference pattern will disappear. This is
because you've messed with their probability.
And what is more,
this doesn't only occur with light and photons. Exactly the same things
happens for all quantum entities. You can form two-slit interference
patterns from everything from electrons, to protons, to atoms, to
molecules!!! And the interference patterns always disappear as soon as you
try to the individual particles going through both slits at the same
time.
The dilema is, if you think only in terms of classical
concrete reality, then these entities can only logical be either
waves or particles, not both. They can either be smeared out over
some wide region of space (like waves) or they exist at sharp
strictly defined points in space (like particles). It is simply illogical,
in a classical sense, for them to be both. The solution that
quantum mechanics provides is that these things don't exist as
strictly defined concrete realities but as waves of probability,
and as soon as you measure them removing or limiting the meaning of such
probability - i.e. you've made a definite measurement - they
immediately take on a particle-like reality, based on this
wave-like probability.
What's more, back to the two-slit experiment
again, if you rig up your experiment so that you're only, say, 50% sure
about whether a photon (or electron, proton, atom, or molecule) went
through one or other of the slits (or otherwise both), then there is a
chance that the 50% that you missed could indeed pass through both and
therefore interfere with themselves, allowing them to generate a pattern
that is half interference and half not interference (two blobs on your
interefence screen opposite the slits)... and this is exactly what
happens. If you can control the probabilities, you control the outcome.
It's not about reality, it's only about probability.
Soupie
twist, Ed G.

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| From: Rowan Crawford |
30/09/99
19:53:49
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| Subject: re: Quantum
Mechanics |
post id:
41530
|
Thanks very much for the great
responces, I can see it (fairly) clearly in my head now.
I wonder
how much confusion could be removed from quantum mechanics if the
scientific community were to make up a totally new word for photons (and
their breed) that removed the mental relationship you immediately make
when you hear "wave" or "particle". Lets call them "bizos" or something,
and say that they "have the property of being a probability wave unless
they are interfered with at which point they resolve into a particle",
rather than saying "they are sometimes waves and sometimes particles". A
'wave' would be confusing too if it were only ever talked about in
relation to other - conflicting - similarities.
Sorry, but I hate
the silly way a lot of things are taught at school :}.
If you put a light detector at the exit of both slits
you will only see a photon going through one of the slits at any given
time.
What if the back wall is the detector, or made up
of lots of detectors? Would it then "feel" just the one photon, sorry,
bizos :), hit itself, or would it be able to feel the interference
now?
Also, for the interference to be visible, does that mean that
the 'probability wave' must collapse into lots and lots of photos right at
the last second, or is the wave enough to get the visible
effect?
Another thought; if you fire a single photon at the slits
and there is a detector at both slits, then is the wave property removed
the instant it's 'measured', or does the removal of the wave dissipate at
the speed of light, starting at the point where the particle resolved and
moving out to the edge of where the probability effect ended?
Back
to billard balls, they often seem to be used as an example of 'classic'
behavior (rather than quantum behavior), but isn't it just a level of
accuracy we're talking about? To be as accurate in predicting the final
location of the billard ball - as accurate as we are talking in QM - then
isn't that just as impossible as determining where a particle is and whats
it's doing?
Finally, I'm curious to know what some of the
implications are from some of these quantum behaviours. Like the ability
to link a particle pair in such away that when they are light years apart,
if one is measured then the other one instantly knows what to become? Does
that imply something about the way the universe is put together? perhaps
that particles can be linked together outside the universe or
something?
And these probability waves that collapse into a single
particle when interfered with - is that implying that reality isn't real,
or something?
Or do all these things instead imply that we are only
beginning to see the deeper levels of detail at work in our universe, and
that the real way things work is not really 'quantum mechanics',
but something else altogether, and QM is only a way of describing some of
the things but doesn't really describe them all?
--
I should
explain that I'm writing a sci-fi short story and am trying to get a
decent grasp of the sci(enc) side of things so I make it at least
semi-credible :). I've got some really tricky black hole questions coming
up, you've been warned
;).
Cheers, Rowan.
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| From: Matt |
30/09/99
21:33:41
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| Subject: re: Quantum
Mechanics |
post id:
41558
|
Light still behaves as a wave -
not only a probability wave. When we are talking about single photons then
a "probability" wave is associated with this. And this prob wave gives the
interference pattern as if it was a real wave. The exp was done with light
and then extrapolated back to "what if this light was a single photon".
This issue is still debatable I would say - many people still don't talk
about "photons" as particles.
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| From: Chris W
(Avatar) |
30/09/99
23:53:43
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| Subject: re: Quantum
Mechanics |
post id:
41593
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Or do all these
things instead imply that we are only beginning to see the deeper levels
of detail at work in our universe, and that the real way things work is
not really 'quantum mechanics', but something else altogether, and QM is
only a way of describing some of the things but doesn't really describe
them all?
Physics (science) is about coming up with theories
which fit the observations we can make, and can be used to predict future
behaviour. Theories are evolving entities that are adapted, or abandoned,
as new evidence comes to light.
If there's one thing that history
teaches, it is that even the most entrenched theory, which explains
everything you've looked at, can be only part of a picture. Newton's
universal gravitation was pretty close to unchallenged until Albert
Einstein's General Relativity better explained the very slight difference
between Newtonian predictions of Mercury's orbit and measurements.
Newton's work stood for hundreds of years, and is still taught today,
because it is useful in the realm of everyday experience even though we
know it to be imperfect.
Quantum theory makes a range of
predictions for which we are still seeking confirmation. Some of these are
particles that require bigger and better colliders to create. We may not
find the particles, in which case the theory will have to change or
reasons found. In the meantime, it is a useful tool that is closer to the
whole picture than the classical billiard balls view of the
atom.
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| From: Dr. Ed G
(Avatar) |
1/10/99
4:37:30
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| Subject: re: Quantum
Mechanics |
post id:
41618
|
If you renamed photons then you'd
have to rename electrons, protons, etc., etc., as they all exhibit both
particle and wave characteristics.
What if the back
wall is the detector, or made up of lots of detectors? Would it then
"feel" just the one photon, sorry, bizos :), hit itself, or would it be
able to feel the interference now?
You'd still only see one
photon at one location at a time.
Also, for the
interference to be visible, does that mean that the 'probability wave'
must collapse into lots and lots of photos right at the last second, or is
the wave enough to get the visible effect?
Well, in order to
see an intference pattern you'd have to collect many many photons over
some amount of time. Like I said, on the screen you'll only ever see one
photon at one precise location at a time. The spooky thing is that the
photon which is allowed to go through the slits without you knowing which
slit it went through, will interfere with itself in a way that only
effects the probability of where you will see it on the screen... but it
will still only show up at one point on the screen. You get an
interference pattern only when you have many individual photons
interfering with themselves, effecting the probability of where they will
land, and the interference pattern is a statistical distribution
reflecting these probabilities. If you know which of the two slits each of
the photons passes through, however, they cannot interfere with themselves
(they must be given the choice to pass through both slits), and the
statistical distribution on the screen will not be an intereference
pattern, but two blobs, corresponding to the two slits.
It can't be
stressed too much that although you need many photons to build an
intereference pattern, these photons do not need to pass through the slits
together in order to interfere. You will still eventually get an
interference pattern (and I stress eventually) even if you have only one
photon passing through the slits per month!
Light is an
electromagnetic wave which is a solution of Maxwell's equations of
electromagentism. In this sense light's particle like behaviour can for
most intents and purposes be ignored. However, photons are well and truly
particles... but particles in the quantum mechanical sense that
(i)
if you look for them individually (such as with a photo-detector) they
will only ever be observed by a measurement at one point in space, i.e. as
particles (like electrons, protons, atoms, etc.), but
(ii) the
probability of where you might see them is governed by their quantum
mechanical wave-function (again, like electrons, protons, atoms,
etc.).
So light is a wave, but the photons that make up the light
are particles (albeit in a quantum mechanical, not classical, sense).
Similarly, electron beams, proton beams, and atom beams can also (in the
right circumstances) be considered as waves, though the elements of which
they are made up are particles.
Soupie twist, Ed G.

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| From: Dr. Ed G
(Avatar) |
1/10/99
5:14:16
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| Subject: re: Quantum
Mechanics |
post id:
41621
|
Finally, I'm
curious to know what some of the implications are from some of these
quantum behaviours. Like the ability to link a particle pair in such away
that when they are light years apart, if one is measured then the other
one instantly knows what to become? Does that imply something about the
way the universe is put together? perhaps that particles can be linked
together outside the universe or something?
Yes... in a
sense. The problem with the phenomena of spatially separated correlated
systems, like the two coupled particles you refer to is not so much about
influences/information travelling across the galaxy at faster than the
speed of light, but as you allude to, the way we understand the Universe.
Indeed, a misunderstanding of the Universe is what results in this sort of
phenomena being presented as a physical dilema. In the case of your
correlated particles the problem really involve a subtly incorrect
description of the system.
If you have a system of to correlated
photons heading at light speed in different directions it is incorrect to
describe it as two distinct photons which are far apart from each other,
but which are connected by this spooky action at a distance. In fact the
photons are not distinct at all until you measure one of them. It is more
correct to describe the situation as a single system which contains
two photons worth of information. When you make a measurement you are not
measuring one of the photons but the whole system, and the whole system
has not concrete reality until a measurement is made, only a probability
distribution of all the realities that it might have when it is
eventually measured.
And these probability waves
that collapse into a single particle when interfered with - is that
implying that reality isn't real, or something?
Interfered
with is not a particularly good word to use in this instance, probably
better would be either "perturbed" or "measured". But yes, their
properties do not have a concrete reality until those properties are
measured. And here's the crunch. If you measure N photons with Young's
slit experiment (without detectors at the slit exits) the photon will
exhibit wave-like properties (as will electrons, protons, etc.) i.e. an
interference pattern will form on the screen. If you measure N photons
with the same setup but with particle detectors at the exists of each of
the slits, they will all exhibit particle-like properties. The principle
take-home point is that the measurement itself determines the
properties that are exhibited. Since classically they can't be particles
and waves at the same time, the only thing that can exists between
measurements is their probability, which is manifest in their quantum
wave-functions.
Now, while it is true that Quantum Mechanics as we
know it today is probably not the whole story of the Universe, a classical
view of the Universe is well and truly dead, and anything that succeeds QM
is very likely to contain most of the important elements of QM and is
unlikely to be very much different (QM explains most physical phenomena
very very well).
Soupie twist, Ed G.

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