# Questions tagged [superposition]

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.

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### Do Helium-4 atoms behave like photons?

I know that the Helium-4 atom is a boson. Does this mean that, like photons, many Helium-4 atoms can be placed at the same point in space? How its possible? It includes fermions (Protons, Neutrons, ...
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### Quantum: why linear combination of vectors (superposition) is described as "both at the same time"?

I want to get a better understanding of quantum phenomena and out world in general. Before long I've thought of Schrödinger cat as being both alive and dead (or spin both up and down). Now after some ...
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### Why does entropy obey the superposition principle?

I was deriving the Boltzmann's entropy formula $${\displaystyle S=k_{\mathrm {B} }\ln \Omega}$$ We start with two prepositions: Let's consider two systems and we know the entropy of the first is $S_1$...
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### Superposition of photons entering human eyes

Based on the Double Slit Experiment and the Mach-Zehnder Interferometer is it reasonable that a single photon enter both eyes of one person?
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### Example of a classical correlation and a quantum correlation

I'm trying to understand the fundamental differences between classical and quantum correlations through examples of a quantum entangled state and a classically correlated state. I know that this is an ...
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### Why are forces superimposable in Classical Mechanics? Does this also apply in higher theories like General Relativity and Quantum Mechanics?

In classical mechanics, forces are treated as vectors and are added linearly. Is this principle to be treated as an axiom or is there some underlying principle from which this is derived? And given ...
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### Loss of coherence in the double-slit experiment

Let's suppose we perform the double-slit experiment, using two detectors to detect which slit the particle has passed through. I describe the detectors using quantum mechanics, so they are represented ...
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### Nature of a superposition of states: is it true or only theoretical?

For quantum mechanics, a certain property of a subatomic particle, e.g. the spin of an electron, which can be either up or down, is a "superposition of states," and one of the two conditions,...
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### Is the Huygens' principle consistent for intersecting wavefronts?

When refraction takes place at the interface of two media, wavefronts can be extended to intersect as below: At point of intersection, light requires no time to travel between the wavefronts. However,...
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### Why does the beam splitter create superposition?

Why does the beam splitter create superposition ? Ok, in a double slit you have 2 holes in a wall, and thus there are 2 ways through which the particle to go. But in a beam splitter where are those 2 ...
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### Notation for spatially superposed particle using vacuum modes - Why the state of the particle and vacuum is entangled, not separable?

We have two places, call them Here and There where a particle could be. When the particle isn’t spatially superposed we write its state as $|1\rangle_{Here}\otimes|0\rangle_{There}$ zero being the ...
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### Why does white light appear white?

When I think of white light, I'm imagining a combination of all 7 colors of light but I believe that since light has wave nature I can say that at some point that the probability density of red light ...
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### How many 'wavelengths of length' can a wave have? [closed]

Since a wavelength, $\lambda$, is the length of a entire cycle How many $\lambda$ (complete cycles) can a composed wave have? I mean, for $n \lambda$, how big can $n$ be? And what does it mean, ...
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### How come two electrons interfere? [duplicate]

This is something I have read many times that the double slit experiment done with electrons produce the same pattern that we get with light i.e. the electrons undergo superposition similar to that of ...
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### Intuition behind Huygens' Principle?

I have recently started learning about physical or wave optics and one of the initial topics is Huygens' Principle. One part of Huygens' Principle states that every point on the wavefront acts as a ...
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### Clarifications on interference of waves

Here is my understanding: Superposition describes the effect of two waves, of the same type, coinciding at a point, stating that the resultant displacement is equivalent to the vector sum of the ...
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### Does two same light bulbs produce light of same frequency? [duplicate]

If they do, then why don't we observe interference in normal rooms? And if they don't have the same frequency then why is that so?
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### Circular wave superposition

(Per title, I do mean circular wave, not radial wave.) I'm trying to learn about wave mechanics through some 3D simulations, and I've arrived at an interesting case that I can't seem to answer through ...
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