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Changed it because the relative state interpretation is identical to the quantum operation formalism by the Choi structure theorem referenced in quantum operation. CSTAR 23:06, 12 Jul 2004 (UTC)
Coment on my commemnt: the relative state interpretation is not quite the same; even though Everett is a litle unclear in his 1957 paper what he means by normalization, the relative state should be thought of as the (isometric part of) the polar decomposition of the the compound state viewed as a linear map. CSTAR 16:25, 7 Aug 2004 (UTC)
Please see comment at bottom of article relating to observables and frames of reference. CSTAR 17:30, 15 Jul 2004 (UTC)
Perhaps an example of the math behind performing a measurement would be useful for me since i don't have a physics background. Showing the measurement operation on a state vector would be nice, thanks.
It would be useful in an article on Observables to firstly list what observables are. Other than position and momentum, what else qualifies? Secondly, to say how observable values are obtained in the wavefunction from the quantum numbers. Alas, too often in wiki, the contributors major on their preferred interpretations at the expense of providing encyclopedic data. The end result is confusion. For wiki to be of better use, some standards need to adhered to avoid the 'free for all' that pertains, much of it inexpert.
There certainly are many frivolous speculations about consciousness and measurement in QM out there, but not all theories linking QM and consciousness are frivolous. For example, the work of Penrose and Hameroff is not frivolous. This article gives the wrong impression, namely, that a good physicist's eye is supposed to see through the mysteries in question. The fact of the matter is that the measurement problem, the basis problem, and many other issues related to measurement continue to puzzle anybody who is not sticking dogmatically to the Copenhagen interpretation or one of its derivatives (e.g. consistent histories).
I was looking here to find something about observable in control theory, turns out that this can be found under observability. Link there?
The quote:
One must note that the above definition is somewhat dependent upon our convention of choosing real numbers to represent real physical quantities. Indeed, just because dynamical variables are "real" and not "unreal" in the metaphysical sense does not mean that they must correspond to real numbers in the mathematical sense.
in the article is misleading I think.
The fact that observables are REAL NUMBERS is not an arbitrary choice, I'd say. Imaginary numbers have mathematical meaning and meaning in physical models, but the 'quantities' we observe are always represented by real numbers and complex (imaginary) numbers would be rather meaningless in that sense. — Preceding unsigned comment added by 93.62.17.241 ( talk) 22:19, 19 April 2013 (UTC)
Should quantum observable redirect here?
This
level-5 vital article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
Changed it because the relative state interpretation is identical to the quantum operation formalism by the Choi structure theorem referenced in quantum operation. CSTAR 23:06, 12 Jul 2004 (UTC)
Coment on my commemnt: the relative state interpretation is not quite the same; even though Everett is a litle unclear in his 1957 paper what he means by normalization, the relative state should be thought of as the (isometric part of) the polar decomposition of the the compound state viewed as a linear map. CSTAR 16:25, 7 Aug 2004 (UTC)
Please see comment at bottom of article relating to observables and frames of reference. CSTAR 17:30, 15 Jul 2004 (UTC)
Perhaps an example of the math behind performing a measurement would be useful for me since i don't have a physics background. Showing the measurement operation on a state vector would be nice, thanks.
It would be useful in an article on Observables to firstly list what observables are. Other than position and momentum, what else qualifies? Secondly, to say how observable values are obtained in the wavefunction from the quantum numbers. Alas, too often in wiki, the contributors major on their preferred interpretations at the expense of providing encyclopedic data. The end result is confusion. For wiki to be of better use, some standards need to adhered to avoid the 'free for all' that pertains, much of it inexpert.
There certainly are many frivolous speculations about consciousness and measurement in QM out there, but not all theories linking QM and consciousness are frivolous. For example, the work of Penrose and Hameroff is not frivolous. This article gives the wrong impression, namely, that a good physicist's eye is supposed to see through the mysteries in question. The fact of the matter is that the measurement problem, the basis problem, and many other issues related to measurement continue to puzzle anybody who is not sticking dogmatically to the Copenhagen interpretation or one of its derivatives (e.g. consistent histories).
I was looking here to find something about observable in control theory, turns out that this can be found under observability. Link there?
The quote:
One must note that the above definition is somewhat dependent upon our convention of choosing real numbers to represent real physical quantities. Indeed, just because dynamical variables are "real" and not "unreal" in the metaphysical sense does not mean that they must correspond to real numbers in the mathematical sense.
in the article is misleading I think.
The fact that observables are REAL NUMBERS is not an arbitrary choice, I'd say. Imaginary numbers have mathematical meaning and meaning in physical models, but the 'quantities' we observe are always represented by real numbers and complex (imaginary) numbers would be rather meaningless in that sense. — Preceding unsigned comment added by 93.62.17.241 ( talk) 22:19, 19 April 2013 (UTC)
Should quantum observable redirect here?