| Topic: |
Science > Physics |
| User: |
"Todd Smith" |
| Date: |
11 Jul 2004 12:56:44 AM |
| Object: |
quantum jumping |
I've heard about how qauntum physics tells how a particle might (with
a very small probability) jump to another point in space, like if a
bunch of particles were bombarding a barrier, one might leap through
it. What is the math behind this- how do i figure out things like,
with mass M and a barrier with thickness T, a particle at speed S has
a P% chance of getting through?
-Thanks
-Todd
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| User: "John T Lowry" |
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| Title: Re: quantum jumping |
11 Jul 2004 03:53:43 AM |
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"Todd Smith" <smittod@auburn.edu> wrote in message
news:ed3092e7.0407102156.5ca4e37c@posting.google.com...
I've heard about how qauntum physics tells how a particle might (with
a very small probability) jump to another point in space, like if a
bunch of particles were bombarding a barrier, one might leap through
it. What is the math behind this- how do i figure out things like,
with mass M and a barrier with thickness T, a particle at speed S has
a P% chance of getting through?
-Thanks
-Todd
Almost all quantum mechanics textbooks treat this problem. You have to
set up the proper potential functions, then solve the Schrodinger
equation (a differential equation) with wave function segments which
match (as do their derivatives) at the boundaries of the various
regions.
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| User: "Jesper Pedersen" |
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| Title: Re: quantum jumping |
11 Jul 2004 08:31:18 AM |
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"Todd Smith" <smittod@auburn.edu> wrote in message
news:ed3092e7.0407102156.5ca4e37c@posting.google.com...
I've heard about how qauntum physics tells how a particle might (with
a very small probability) jump to another point in space, like if a
bunch of particles were bombarding a barrier, one might leap through
it. What is the math behind this- how do i figure out things like,
with mass M and a barrier with thickness T, a particle at speed S has
a P% chance of getting through?
-Thanks
-Todd
Look up "quantum tunneling" or "potential barrier".
The problem is quite easily solved in one dimension if you consider a
particle of energy E_0 encountering a potential barrier of size V_0 and
width a, so that the potential is given by
0 for x < 0
V(x) = V_0 for 0 < x < a
0 for x > a
Classically you would expect a zero transmission coefficient for E_0 < V_0
and a zero reflection coefficient for E_0 > V_0. Quantum mechanics tells us
that you actually get a finite transmission coefficient even for E_0 < V_0
and a finite reflection coefficient for E_0 > V_0. The math behind this
isn't necessarily all that complicated, but you need to learn some basic
quantum mechanics for any of it to make sense.
Considering a particle of mass m and energy E_0 and a potential step barrier
of thichness a and height V_0 > E_0, you would have a transmission
coefficient of
T = [1 + V_0^2 * sinh^2(kappa * a) / (4E_0* (V_0 - E_0)]^(-1)
, where kappa = sqrt( 2m * (V_0 - E_0) / hbar^2 ).
/ Jesper P
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| User: "tj Frazir" |
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| Title: Re: quantum leap |
11 Jul 2004 09:20:55 AM |
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Idiots. Hes not talking about wormholes .
He's talking about quantom leap.
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| User: "Jesper Pedersen" |
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| Title: Re: quantum leap |
11 Jul 2004 09:55:12 AM |
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"tj Frazir" <GravityPhysics@webtv.net> wrote in message
news:17705-40F14CC7-174@storefull-3218.bay.webtv.net...
Idiots. Hes not talking about wormholes .
He's talking about quantom leap.
I am not sure how to respond to this. Wormholes? Where do you think I
mentioned wormholes? I talked about quantum tunneling only.
/ Jesper P
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| User: "MorituriMax" |
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| Title: Re: quantum leap |
11 Jul 2004 01:43:40 PM |
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Jesper Pedersen wrote:
"tj Frazir" <GravityPhysics@webtv.net> wrote in message
news:17705-40F14CC7-174@storefull-3218.bay.webtv.net...
Idiots. Hes not talking about wormholes .
He's talking about quantom leap.
I am not sure how to respond to this. Wormholes? Where do you think I
mentioned wormholes? I talked about quantum tunneling only.
LOL... he thinks you're talking about the tv series.. kind of funny if the
little boy weren't so... self-deluded..
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| User: "tj Frazir" |
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| Title: Re: quantum leap |
11 Jul 2004 03:19:45 PM |
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Where do you think I said you said anything about wormholes ?
You were talking about quantom leap of electrons and you didn't know
you were .
The others din't either !
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| User: "MorituriMax" |
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| Title: Re: quantum leap |
11 Jul 2004 08:29:47 PM |
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tj Frazir wrote:
Where do you think I said you said anything about wormholes ?
Right here:
-- -- --
Idiots. Hes not talking about wormholes .
He's talking about quantom leap.
-- -- --
You were talking about quantom leap of electrons and you didn't know
you were .
The others din't either !
But you mentioned wormholes.
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| User: "" |
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| Title: Re: quantum leap |
11 Jul 2004 08:39:34 PM |
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MorituriMax <newage@sendarico.net> wrote:
tj Frazir wrote:
Where do you think I said you said anything about wormholes ?
Right here:
-- -- --
Idiots. Hes not talking about wormholes .
He's talking about quantom leap.
-- -- --
You were talking about quantom leap of electrons and you didn't know
you were .
The others din't either !
But you mentioned wormholes.
You expect tj to remember what he said for more than about 30 seconds?
--
Jim Pennino
Remove -spam-sux to reply.
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| User: "Michael Varney" |
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| Title: Re: quantum jumping |
11 Jul 2004 05:47:26 AM |
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"Todd Smith" <smittod@auburn.edu> wrote in message
news:ed3092e7.0407102156.5ca4e37c@posting.google.com...
I've heard about how qauntum physics tells how a particle might (with
a very small probability) jump to another point in space, like if a
bunch of particles were bombarding a barrier, one might leap through
it. What is the math behind this- how do i figure out things like,
with mass M and a barrier with thickness T, a particle at speed S has
a P% chance of getting through?
By reading a book.
www.google.com "how to use google"
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| User: "Sam Wormley" |
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| Title: Re: quantum jumping |
11 Jul 2004 08:17:20 AM |
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Todd Smith wrote:
I've heard about how qauntum physics tells how a particle might (with
a very small probability) jump to another point in space, like if a
bunch of particles were bombarding a barrier, one might leap through
it. What is the math behind this- how do i figure out things like,
with mass M and a barrier with thickness T, a particle at speed S has
a P% chance of getting through?
See: http://www.google.com/search?q=quantum+tunneling
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| User: "Bjoern Feuerbacher" |
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| Title: Re: quantum jumping |
12 Jul 2004 06:25:32 AM |
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Todd Smith wrote:
I've heard about how qauntum physics tells how a particle might (with
a very small probability) jump to another point in space,
That's a rather distorted view of what QM actually says.
like if a
bunch of particles were bombarding a barrier, one might leap through
it. What is the math behind this- how do i figure out things like,
with mass M and a barrier with thickness T, a particle at speed S has
a P% chance of getting through?
If a particle is able to get through a barrier depends strongly on the
*type* of the barrier.
Solve the appropriate Schroedinger equation. The absolute value squared
of the wave function you obtain gives the probability density to find
a particle at a given point.
Bye,
Bjoern
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