I What is an observable exactly?

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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.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
I am reading WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians. The author states (2.4 Finite versus Continuous Models) that the use of continuity causes the infinities in QFT: 'Mathematicians are trained to think of physical space as R3. But our continuous model of physical space as R3 is of course an idealization, both at the scale of the very large and at the scale of the very small. This idealization has proved to be very powerful, but in the case of Quantum...

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