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The (physical) concept of entropy is predominantly applied to many-particle systems. We can regard such a system as a many-particle system, whose dynamical variables comprise the positions, momenta, and other variable properties of all particles. It can exhibit, in theory, three types of dynmical behaviours: A low-dimensional regular (i.e., non-chaotic) ...

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I'll have to disagree that those notions of entropy are disjoint. I'll try to explain my view. In Statistical Mechanics entropy is defined in terms of accessible regions in phase space. It is the logarithm of this volume times a constant. In the process of deriving this formula starting from the number of accessible configurations it is postulated that all ...

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I would say the connection between chaos and entropy is through ergodic theory, and the fundamental assumption of statistical mechanics that a system with a given energy is equally likely to be found in any 'microstate' with that energy. Although chaos is a very general aspect of dynamical systems, Hamiltonian chaos (encountered in classical mechanics) is ...

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There is no intuitive description of what it means for an electron to be in a superposition of two different locations. But what it definitely does not mean is that the electron is simultaneously in both positions. The most important effect of superposition is the interference of superposed states. A quantum system in superposed states A and B is not both ...

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Let's first change the question slightly to get rid of the problem with identical particles: The initial state is that an electron is at A and B and a proton is at C and D, i.e. |i> = (|A>+|B>)(|C>+|D>) (normalization is not considered). This state can be written as |i> = |AC> + |AD> + ... meaning that "electron at A, proton at C" and, at the same time "...

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Perhaps it should look like this: Just replace the ball with the object in orbit, and make the object drawn much nearer to each other at points in the orbit where its speed is slow, and farther apart at points where the object is at faster speed. Or perhaps you could just use dots or segments in place of actually drawing an object.

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