# 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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### Can this experimental setup generate a superposition of two distinguishable states?

Is it possible to generate a superposition state, $\hat{b}_1^{\dagger} = (\hat{a}_1^{\dagger}+\hat{a}_2^{\dagger})/\sqrt{2}$, in a way as demonstrated in this figure? Notice that this transformation ...
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### Doubt in the completeness of wave function

I am reading about the completeness property of wave function. The following is given about it- The energy eigenstates are complete in the sense that any reasonable wave function $\psi(x)$ can be ...
2answers
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### Can it be shown in experiment that the momentum (or position) states of the electron and proton in hydrogen are entangled?

The states of the electron and proton in hydrogen are entangled. Which means that the momentum and position of both are entangled. Can this be shown in an experiment, so if you measure the momentum (...
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### Unequal superpositions of energy eigenstates in two-state quantum systems?

Two-state quantum systems in a superposition of energy eigenstates oscillate with time between the possible states. If both energy eigenstates contribute with the same amplitude, the oscillation is ...
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### Why is Schrödinger's cat in a superposition and not a mixture if you model decay with Fermi's golden rule?

I am teaching quantum information for undergraduate math students and as a perspective I thought it would be cool for them to discuss Schrödinger's cat a bit. More precisely I'd like to come up with ...
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### Can unitary evolution produce a superposition of wavefunctions, or do wave functions have to be 'created' in a superposition before evolution?

A quantum superposition is a wave function such as : $$|\psi\rangle = \alpha |\psi_1\rangle + \beta |\psi_2 \rangle$$ Unitary evolution will transfer these states to \$|\psi'\rangle \to U|\psi\...