I What is an observable exactly?

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An observable in quantum mechanics is defined as a Hermitian operator within a specific Hilbert space. The discussion highlights the ambiguity surrounding wave function collapse, noting that interpretations of quantum mechanics vary on whether it occurs and how it manifests. Equipment used for quantum measurements includes photodetectors, magnets, polarizers, and waveplates, depending on the specific measurements being taken. The size of the region into which the wave function collapses during measurement remains a subject of debate. Understanding observables and their measurement is crucial for interpreting quantum phenomena accurately.
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What is an observable exactly? I hear terms that are used in physics books like an observable or a detection. What types of equipment do physicists use to make all these quantum measurements that are used in books so frequently? How small of a region of space does the wave function "collapse" into when measuring particles?
 
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dsaun777 said:
How small of a region of space does the wave function "collapse" into when measuring particles?
Whether wave function collapse happens at all is an open question (different interpretations of quantum mechanics say different things on this topic).
 
dsaun777 said:
What types of equipment do physicists use to make all these quantum measurements that are used in books so frequently?
One example of equipment is photodetectors. But there are other types of equipment used, depending on what is studied. Examples of additional equipment: magnets, polarizers, waveplates etc.
 
Technically, an observable is just a Hermitian operator on whatever Hilbert space you're working in.
 

Thread 'Angular Momentum Vector and Its Magnitude'

For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...
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