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Results tagged with harmonic-analysis
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user 23252
Harmonic analysis is a generalisation of Fourier analysis that studies the properties of functions. Check out this tag for abstract harmonic analysis (on abelian locally compact groups), or Euclidean harmonic analysis (eg, Littlewood-Paley theory, singular integrals). It also covers harmonic analysis on tube domains, as well as the study of eigenvalues and eigenvectors of the Laplacian on domains, manifolds and graphs.
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uncertainty principle for higher moments
Let $\psi(x)$ be a quantum wavefunction on $\mathbb{R}$, that is, a complex function such that $\int_{-\infty}^{\infty} dx |\psi(x)|^2 = 1$. Let $\widetilde{\psi}(p)$ be its Fourier transform: $\widet …
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uncertainty principle for higher moments
I have recently discovered some references which address this question:
Moments of the Wigner Distribution and a Generalized Uncertainty Principle
R. Simon and N. Mukunda
arXiv:quant-ph/9708037, 1997 …
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