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silagadze
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I'll appreciate references about quantum mechanics of the rolling ball.
olgranpappy said:what you mean is not clear to me. could you be a bit more precise? What is a "ball"?
The main difference between quantum mechanics and classical mechanics is that quantum mechanics describes the behavior of particles on a microscopic scale, while classical mechanics is used to explain the behavior of objects on a macroscopic scale. In the quantum world, particles can exist in multiple states at the same time and can exhibit wave-like behaviors, while classical objects follow predictable trajectories and have definite positions and velocities.
The Heisenberg uncertainty principle states that it is impossible to know both the position and momentum of a particle with absolute certainty at the same time. This means that the more precisely we know the position of a rolling ball, the less we know about its momentum and vice versa. In other words, the more we try to measure, the more we disturb the system and affect its behavior.
Quantum entanglement is a phenomenon in which two or more particles become connected in such a way that the state of one particle affects the state of the other, even when they are separated by large distances. While it is not possible for a single rolling ball to exhibit quantum entanglement, it is possible for a system of rolling balls to exhibit this phenomenon if they are in a superposition state.
In classical mechanics, a ball rolling in a curved path would follow a predictable trajectory based on its initial position and velocity. In quantum mechanics, however, the ball's path is not definite and can only be described by a probability distribution. This means that the ball can take multiple paths simultaneously and its final position will only be determined when it is measured or observed.
While quantum mechanics may have some interesting implications for the behavior of rolling balls, it is not currently used to improve their efficiency. Classical mechanics is still the most effective and efficient way to understand and predict the motion of rolling balls on a macroscopic scale.