About uncertainty relationship

wengsee
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I have read some books about quantum physics.There are about too kinds of interpretation about uncertainty relationship.The first is that it consists in single measurement.However the other one is statistical explanation that it just consists in measuring repeatedly.I support the former because if the latter is true ,it is just the same as classical statistical mechanical.
Does someone agree with me ?or Does someone have more reasonable interpretation .
 
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The uncertainty principle is not based on "measurement". One must not think that in a certain experiment a particle only "presents" its state with some uncertainty, e.g. its position and momentum.

Instead the state itself does not have the property of sharply defined position and momentum, even w/o any measurement. It is an intrinsic property of any quantum object.
 
I suggest you take a look at some of the other threads about this. There are lots of them, and most of them have "uncertainty principle" in the title. (The modern version is a theorem, not a principle, so I prefer to call it the uncertainty theorem or the uncertainty relation).
 
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
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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