Undergrad Is a measurement a correlation?

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SUMMARY

This discussion centers on the relationship between measurement outcomes and the values being measured, specifically questioning whether a measurement outcome correlates with the measured value. Participants highlight the distinction between "the outcome of the measurement" and "the measured value," emphasizing that they are not synonymous. The conversation suggests that clarity in terminology is crucial, advocating for the use of precise definitions, such as the mathematical definition of "correlation," to enhance understanding. The thread concludes with a recommendation to initiate new discussions with clearer questions.

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Researchers, statisticians, and data analysts seeking to deepen their understanding of measurement and correlation concepts.

entropy1
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If we make a measurement, does that mean that the outcome of the measurement gets correlated with the measured value?
 
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entropy1 said:
If we make a measurement, does that mean that the outcome of the measurement gets correlated with the measured value?
? What is the difference between "the outcome of the measurement" and "the measured value"? How are they not the same thing?
 
phinds said:
? What is the difference between "the outcome of the measurement" and "the measured value"? How are they not the same thing?
Perhaps I should say "the value (of the thing) being measured" instead of "measured value".
 
entropy1 said:
Perhaps I should say "the value (of the thing) being measured" instead of "measured value".
And how is the "measured value" different from "the value being measured"? This thread is closed.
If you want to start a new thread in which your question is stated more precisely, you may - but I suggest citing the mathematical definition of the word "correlation" when you do.
 
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Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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