Observable | Wikipedia audio article
Channel: Subhajit Sahu
Date: 24/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Observable


00:00:51 1 Quantum mechanics
00:06:32 1.1 Operators on finite and infinite dimensional Hilbert spaces
00:07:46 2 Incompatibility of observables in quantum mechanics
00:09:06 3 See also
00:09:21 4 Further reading



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SUMMARY
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In physics, an observable is a physical quantity that can be measured. Examples include position and momentum. In systems governed by classical mechanics, it is a real-valued function on the set of all possible system states. In quantum physics, it is an operator, or gauge, where the property of the system state  can be determined by some sequence of physical operations. For example, these operations might involve submitting the system to various electromagnetic fields and eventually reading a value. 
Physically meaningful observables must also satisfy transformation laws which relate observations performed by different observers in different frames of reference. These transformation laws are automorphisms of the state space, that is bijective transformations which preserve certain mathematical properties of the space in question.