Understanding the Limits of Measurement in Quantum Mechanics

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    Heisenberg Principle
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Discussion Overview

The discussion revolves around the limits of measurement in quantum mechanics, specifically focusing on the Heisenberg uncertainty principle and its implications for measuring noncommuting properties of particles, such as position and momentum. The scope includes conceptual clarifications and technical explanations related to quantum measurement theory.

Discussion Character

  • Conceptual clarification, Debate/contested, Technical explanation

Main Points Raised

  • Some participants question whether it is possible to measure both noncommuting properties of a particle simultaneously using separate teams or indicators, suggesting a scenario where one team studies momentum and another studies position.
  • Other participants assert that the Heisenberg uncertainty principle pertains to the actual state of the system rather than our knowledge of that state, emphasizing a distinction between measurement outcomes and theoretical limits.
  • A later reply clarifies that the Heisenberg uncertainty principle is a statistical law that relates to the variance in measurements across many identically prepared systems, rather than individual measurements.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the Heisenberg uncertainty principle, with some emphasizing its implications for knowledge and measurement, while others focus on its statistical nature. The discussion remains unresolved regarding the practical implications of these interpretations.

Contextual Notes

Limitations include the dependence on definitions of measurement and the distinction between individual and statistical measurements, which are not fully resolved in the discussion.

Thomas Gajdek
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Is it somehow possible to know both noncommutating properities of eg. a partcle, with using two indicators? Eg. two teams, with one is studing the momentum, and other one the position - then it's somehow impossible to exchange informations?
 
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No. The principle is about the actual state of the system, not our knowledge of the state.
 
Orodruin said:
No. The principle is about the actual state of the system, not our knowledge of the state.
Oh right, i did'n get it for the first time reading about it.
 
Thomas Gajdek said:
Is it somehow possible to know both noncommutating properities of eg. a partcle, with using two indicators? Eg. two teams, with one is studing the momentum, and other one the position - then it's somehow impossible to exchange informations?

The Heisenberg uncertainty principle is, in fact, a statistical law and concerns the variance in measurements of a large number of identically prepared systems.

It doesn't, in fact, say anything about individual measurements of a system, as in your example.
 

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