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Two operators that are also observables, which means that they correspond to some physically measurable quantity. Compatible observables are two or more such operators that can be measured at the same time. Position and momentum are an example of Incompatible observables, since one can only know either the position or the momentum of an object to 100% accuracy.

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6mo ago

Compatible observables in quantum mechanics are those that can be measured simultaneously with precise values, without affecting each other's outcomes. Mathematically, compatible observables commute, meaning the order in which they are measured does not matter. For example, in quantum mechanics, position and momentum are compatible observables, while position and spin are not.

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An observable is an expectation value of an operator.

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Q: What are compatible observable in quantum mechanics?
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The mixed state in quantum mechanics is the statistical ensemble of the pure states.


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