Comments by "Lepi Doptera" (@lepidoptera9337) on "Quantum Mechanics and the Schrödinger Equation" video.

  1. Why do you want to imagine something that doesn't exist? ;-)
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  2. It isn't a probability density function. That's one of the few glaring mistakes that many standard QM textbooks are sharing. To get a probability out of the wave function we have to sandwich a projection operator inbetween the wave function and its complex conjugate that describes the spectrum of the measurement system (that formula is called the Born rule). If we work in a position representation AND we are measuring position with arbitrary resolution (which no actual physical system can do), then that projection operator happens to be a unity operator. It's a mathematical corner case of the calculus that gives us different quantum mechanical measurements that is being frequently misinterpreted as a property of the wave function. The SE uses a unitary operator to describe the dynamic, so the total integral over the wave function stays the same. That, however, is NOT about the probability of finding the system in some state of space. It's about the total number of individual copies in the quantum mechanical ensemble staying unchanged. We start with an infinite number of systems and we end up with the exact same number of systems.
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  3. Electrons don't orbit. You are being deceived by images which do not represent reality.
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  4. The electron is a quantum of energy. It is neither a particle nor is it a wave. Dirac pointed this out around 1930, but nobody was paying any attention to the obvious solution of a false dichotomy fallacy: it's neither. It's something completely different.
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  5. Relativity. You can't derive that from non-relativistic quantum mechanics.
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  6. The electron is not a particle. ;-)
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