| Topic: |
Science > Physics |
| User: |
"" |
| Date: |
08 Apr 2006 02:42:39 PM |
| Object: |
The schrodinger equation. |
I was told that there is no generalization of the schrodinger equation
which makes it derived from mathematics and makes it work in all
possible spacetimes and such. Is this true?
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| User: "FrediFizzx" |
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| Title: Re: The schrodinger equation. |
08 Apr 2006 03:22:52 PM |
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<Starbles@Earthlink.net> wrote in message
news:1144525359.221809.61640@i40g2000cwc.googlegroups.com...
I was told that there is no generalization of the schrodinger equation
which makes it derived from mathematics and makes it work in all
possible spacetimes and such. Is this true?
From the Wiki entry for the Schrodinger Equation,
"The relativistic generalisations of this wave equation are the Dirac
equation, Klein-Gordon equation, Proca equation, Maxwell equations etc,
depending on spin and mass of the particle. See relativistic wave
equations for details."
I suppose you are after a GR based generalisation? IMHO, the problem is
that spinors define a certain direction in spacetime. However, two
complimentary spinors combined don't necessarily "macroscopically"
define a direction in spacetime. Super GR is needed at the "spinor
level". And I think we are only mainly concerned with "our" spacetime.
;-) This is a mistake if there is in fact another spacetime
intersecting with "ours". The intersection boundary is an event horizon
associated with time.
FrediFizzx
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.pdf
or postscript
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.ps
http://www.vacuum-physics.com
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| User: "" |
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| Title: Re: The schrodinger equation. |
08 Apr 2006 11:54:17 PM |
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Are you for real?
I can't really understand what you are saying.
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| User: "FrediFizzx" |
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| Title: Re: The schrodinger equation. |
09 Apr 2006 12:33:04 AM |
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<Starbles@Earthlink.net> wrote in message
news:1144558457.489674.64410@u72g2000cwu.googlegroups.com...
Are you for real?
Very real.
I can't really understand what you are saying.
Are you replying to me? If so and you want me to reply, don't WHACK the
thread attributes and quoted text. Learn how to post to this newsgroup.
You should really know how to by now.
What is it exactly that you don't understand in what I said. It is all
pretty straight forward advanced concepts. Check out Weinberg's Vol III
book on Supersymmetry from his "The Quantum Theory of Fields" set and
Lisa Randall's "Warped Passages..."
FrediFizzx
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.pdf
or postscript
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.ps
http://www.vacuum-physics.com
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| User: "PD" |
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| Title: Re: The schrodinger equation. |
10 Apr 2006 10:13:30 AM |
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wrote:
I was told that there is no generalization of the schrodinger equation
which makes it derived from mathematics and makes it work in all
possible spacetimes and such. Is this true?
No physical law is derived from mathematics. There is a mathematical
expression of a law which is derived from a combination of experimental
observations and a hunch about what is going on physically. The
mathematical expression also allows one to make a bunch of specific
quantitative predictions about that which could be observed
experimentally, which are then checked; if the experiment matches, then
the theory gets a pat on the back.
Not sure what you mean by "all possible spacetimes". We're interested
in the generalization that works for *our* spacetime. There are some
useful aspects that can also be gleaned from considering what also
"works" for a handful of other spacetimes that are not what we live in.
In the previous sentence, "works" does not imply experimental
verification, of course, but rather only a very limited sense of
conceptual and mathematical self-consistency; however, that doesn't
really tell you much.
PD
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| User: "=?UTF-8?Q?Jeff=E2=80=A6Relf?=" |
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| Title: The schrodinger equation. |
09 Apr 2006 02:49:31 AM |
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Hi Starbles, You asked why the Schrödinger_Equation wasn't relativistic,
From Wikipedia.ORG/wiki/Wave_mechanics
The Hamiltonian describes the total energy of the system.
As with the force occurring in Newton's second law,
its exact form is not provided by the Schrödinger equation,
and must be independently determined based on
the physical properties of the system.
It's also useful to note that the randomness indicates a failure to measure.
While the spin of the earth and it's path around the sun are well known,
a priori, the spin of a photon and its path are _Never_ fully known,
even after it's, ahem, measured.
So... The key to understanding cosmology and TOEs is noting that
nothing is intrinsically random; instead, some things are simply unknown,
given _Today_'s best observations/theories.
^^^^^
Einstein believed randomness indicates a lack of measurement, saying:
But the scientist is possessed by the sense of universal causation.
The future, to him, is every whit as necessary and determined as the past.
See WikiPedia.ORG/wiki/Albert_Einstein#Religious_views
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| User: "Eric Gisse" |
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| Title: Re: The schrodinger equation. |
09 Apr 2006 03:35:33 AM |
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Jeff...Relf wrote:
[snip usual Relf droppings]
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| User: "Gregory L. Hansen" |
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| Title: Re: The schrodinger equation. |
09 Apr 2006 08:36:27 AM |
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In article <1144525359.221809.61640@i40g2000cwc.googlegroups.com>,
<Starbles@Earthlink.net> wrote:
I was told that there is no generalization of the schrodinger equation
which makes it derived from mathematics and makes it work in all
possible spacetimes and such. Is this true?
E|psi> = H|psi>
Applications are left for the reader.
--
"The result of this experiment was inconclusive, so we had to use
statistics." (Overheard at international physics conference)
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