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Results tagged with superposition
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user 136463
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 all waves of any kind satisfy the principle of superposition?
If the equation is of the form $Lf=0$ with $L$ a linear operator, the same argument applies and the superposition principle holds. …
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