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A basic principle of solutions of *linear* differential (often wave) equations, ensuring that the sum ("superposition") of two solutions is automatically a solution as well. Conversely, solutions (amounting to quantum states in quantum mechanics, since the Schrödinger equation is linear) can be represented as a sum of two or more other distinct solutions, and so can be Fourier/eigenstate resolved to enhance mathematical tractability.

0 votes

What happens if the eraser polarization filter is moved with randomness generated by observa...

So, yes indeed, attempting to describe a quantum superposition in classical terms leads to paradoxes. Nothing new here - welcome to quantum mechanics. …
Stéphane Rollandin's user avatar
2 votes

How to visualize an electron existing in two different places at the same time?

There is no intuitive description of what it means for an electron to be in a superposition of two different locations. … The most important effect of superposition is the interference of superposed states. …
Stéphane Rollandin's user avatar
3 votes
Accepted

How does a string store information during wave superposition?

So, there is nothing special happening when the two waves encounters - each one sees the other one as a bump on its way; that's superposition. … Again, nothing special here with regard to superposition. …
Stéphane Rollandin's user avatar
0 votes

Superposition of particle positions

For example, in a double-slit experiment, there is no classical physical object corresponding to the superposition of two different paths, none that can be observed, and even none that can be imagined. …
Stéphane Rollandin's user avatar
10 votes

Am I in a superposition?

Does it make sense to talk about the superposition of a open ecosystem? If one tiny moecular subsystem there is in spatial superposition, does that count as a superposition of the whole? … superposition to be a thing - in fact it can be considered that chemical bonding is a superposition in itself. …
Stéphane Rollandin's user avatar
2 votes
2 answers
591 views

Can gravity prevent quantum superposition of positions for a massive object?

Theoretically, nothing prevents a really massive object to be in a superposition of two spatial locations, even far away one from the other. … Then I guess spacetime would also show the superposition of two corresponding gravitational wells. Could this be observed somehow ? …
Stéphane Rollandin's user avatar
0 votes
Accepted

Can gravity prevent quantum superposition of positions for a massive object?

The authors feel that although a satisfying theory of quantum gravity is still missing at the moment, they "can safely claim that, should gravity be quantum, [the spatial superposition in a massive quantum … system] would be manifested by the superposition of gravitational fields". …
Stéphane Rollandin's user avatar
4 votes

Why does destructive interference not stop a wave?

As a complement to the correct answer by Buzz, let me explain why the picture can indeed trick you: this is because it is a collection of snapshots of the physical state of the rope in position space. …
Stéphane Rollandin's user avatar
6 votes

Does "natural" superposition of particles exist?

For example, the electrons in a molecule are not localized; this is a form of superposition. … See Chemical Bonding as a Superposition Phenomenon for details, and also this blog post for a presentation of these ideas. …
Stéphane Rollandin's user avatar
1 vote

Interpretation of quantum superposition and classical Brownian motion

A particle in a superposition of locations is not in both locations at once. The proper way to think about a superposition is that it does not translate at all in the classical worldview. …
Stéphane Rollandin's user avatar
10 votes
Accepted

How do we know a quantum state isn't just an unknown classical state?

It is closely linked to the notion of superposition. …
Stéphane Rollandin's user avatar
1 vote

Is my understanding of the delayed choice quantum eraser correct?

The trouble with interpretations of experiments such as the quantum eraser is that they are designed to challenge concepts or way of thinking that are deemed evident. They expose QM weirdness. Such ex …
Stéphane Rollandin's user avatar