Absolute measurement: is it really possible?

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SUMMARY

The discussion centers on the feasibility of absolute measurement in quantum mechanics, specifically addressing the Heisenberg uncertainty principle and its implications for measuring complementary dynamic observables. It asserts that while chaos can disrupt consecutive measurements, quantum numbers can be precisely determined under certain conditions, such as when a single electron is sent through a Stern-Gerlach device, allowing for accurate measurement of the z-component of spin. The conversation raises fundamental questions about the limits of measurement in both quantum and classical systems.

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  • Understanding of the Heisenberg uncertainty principle
  • Familiarity with quantum numbers and their significance
  • Knowledge of the Stern-Gerlach experiment
  • Concept of chaos in measurement systems
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Heisenberg uncertainty forbids measuring exactly and simultaneously complementary dynamic observables, but can even compatible quantum numbers ever be precisely determined? Chaos disturbs consecutive measurement, but can one measure perfectly properties of singular events in those classical systems? In the physical limit, is absolute measurement ever possible?
 
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Originally posted by Loren Booda
Heisenberg uncertainty forbids measuring exactly and simultaneously complementary dynamic observables, but can even compatible quantum numbers ever be precisely determined? Chaos disturbs consecutive measurement, but can one measure perfectly properties of singular events in those classical systems? In the physical limit, is absolute measurement ever possible?

In principle quantum numbers can be precisely determined. For example: when you send a single electron through a Stern-Gerlag device it is deflected in either of two directions, up or down. The direction is very measurable and thus the z-component of spin, a quantum number, is detectable too.
 

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