Quantum Mechanics of Rolling Balls: Learn More

silagadze
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I'll appreciate references about quantum mechanics of the rolling ball.
 
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what you mean is not clear to me. could you be a bit more precise? What is a "ball"?
 
olgranpappy said:
what you mean is not clear to me. could you be a bit more precise? What is a "ball"?

Imagine a billiard ball of very small mass rolling without slipping or twisting over a plane or over some other surface. In classical case such problems involve quite a fascinating geometry. See, for example,
http://arxiv.org/abs/math/0611812 ( A. Agrachev, Rolling balls and Octonions)
 
To be even more precise, I'm interesting in articles like this
R. J. Eden, The Quantum Mechanics of Non-Holonomic Systems, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 205, No. 1083 (Mar. 7, 1951), pp. 583-595,
which I just found.
 
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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