B Understanding Waves, Particles and Probabilities

geordief
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Am I getting close to a basic understanding of probability waves?
In the ongoing quantum interpretations and foundations thread vanahees71 explained to me that the wave particle duality has been explained by the model where the position of a particle is calculated according to a probability distribution traveling in space.

Am I understanding this correctly.The probability distribution has the same shape as a wave and that accounts for the wave part of the wave-particle duality?

And the particle part is when an interaction actually takes place?

Or am I nowhere near understanding this still?
 
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geordief said:
Am I understanding this correctly.The probability distribution has the same shape as a wave and that accounts for the wave part of the wave-particle duality?
Roughly, yes.
geordief said:
And the particle part is when an interaction actually takes place?
The wave looks like a particle when the width of wave is small. Interaction can be a part of the reason why this happens, but it's not that simple.
 
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geordief said:
Summary: Am I getting close to a basic understanding of probability waves?

In the ongoing quantum interpretations and foundations thread vanahees71 explained to me that the wave particle duality has been explained by the model where the position of a particle is calculated according to a probability distribution traveling in space.

Am I understanding this correctly.The probability distribution has the same shape as a wave and that accounts for the wave part of the wave-particle duality?

And the particle part is when an interaction actually takes place?

Or am I nowhere near understanding this still?
Classical physics involves two seemingly different physical things: particles and waves. It was assumed that some things were particles (e.g. electrons) and some things were waves (e.g light).

Then certain experiments were carried out that appeared to show light behaving like a particle (photoelectric effect) and electrons behaving like waves (electron diffraction). This was called wave-particle duality.

QM explains wave-particle duality by modelling an electron using a wavefunction. This single model explained both its particle-like and wave-like behaviour.

QM itself doesn't have wave-particle duality as part of the theory. And, indeed, some popular QM textbooks (e.g. Griffiths and Sakurai) either mention it only as a historical footnote or not at all.
 
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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
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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