A Non-classical Feature, 2

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superposition

~ linear overlapping

~ f(ax + by) = a f(x) + b f(y)

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Reality is a linear overlapping of potential realities, although different components may have different weightings.

Superposition always exists, if it exists at the beginning of a process.

So the expression “the wave function collapses and the superposition ceases to exist” does not make sense.

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Superposition always exists; interference (pattern) does not.

For a superposition to have an interference pattern, the two (for example) component eigenstates need to have a constant phase difference.

In other words, they have to be coherent.

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superposition without an interference pattern

~ microscopically decoherent component states

~ macroscopically a classical state

— Me@2016-09-01 4:42 AM

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The above is not correct.

A quantum superposition is not just an overlapping of classical states, because if it is, for example, there would be no interference patterns formed in the double-slit experiment. If a quantum superposition is just an overlapping of classical worlds, how can you explain the destructive interference part?

— Me@2020-12-19 07:19:08 PM

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2016.11.27 Sunday (c) All rights reserved by ACHK