Bose-Einstein Condensates. What is a matter wave ?

Adam
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Bose-Einstein Condensates. What is a "matter wave"?

Greetings.

I was reading a rather non-descriptive page about Bose-Einstein Condensates. I've never really read much about them before, but now I find myself interested. This page mentioned that BECs form "matter waves" about a millimetre across.

- What is a "matter wave"?
- How exactly do you decide that a chunk of matter is a wave? In which ways does this matter "behave as a wave"?
 
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Nice article, but it didn't really explain it all to my satisfaction.

However, I believe I just had one of those moments of insight and comprehended quantum fluctuation.
 
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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