List questions from semiclassical-analysis

Published on 25 Mar 2026 - 14:00

167

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How to justify interchanging the integral with the quantization operator?

Published on 25 Mar 2026 - 14:00

63

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Is there a practical formula for quantization on arbitrary subsets of $\mathbb{R}^n$

Published on 04 Mar 2026 - 1:21

12

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Determining whether there is a missing $i$ in Zworski's example of a pseudodifferential operator corresponding to a given symbol

Published on 24 May 2023 - 14:53

80

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Reference request for the Liouville theorem (Liouville measure & Hamiltonians) on Riemannian manifolds

Published on 24 Jul 2023 - 13:17

94

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$O_{\mathcal{S}'\rightarrow \mathcal{S}}(h^\infty)$

Published on 25 Mar 2026 - 14:00

112

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Approximating integral involving associated Laguerre polynomial

Published on 25 Mar 2026 - 1:56

111

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Wavefront set of coherent state

Published on 25 Mar 2026 - 14:00

81

Views

Asymptotic expansions with compactly supported terms and smoothing operators

Published on 14 Sep 2021 - 16:23

41

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Spectrum of the Weyl quantized operator $\mathrm{Op}\left(\sqrt{\frac{x^2+p^2}{2}}\right)$

Published on 23 Mar 2026 - 0:31

45

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About semiclassical analysis and resource request

Published on 25 Mar 2026 - 13:58

101

Views

Creating a bounded operator from an unbounded symbol ? - discussion around the Calderon-Vaillancourt theorem

Published on 24 Jun 2022 - 5:49

36

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Understanding why $\partial_t\kappa_t = H_q = (\kappa_t)_*H_q$ for smooth symbol $q$, symplectomorphism $\kappa$ and Hamiltonian vector field $H$

Published on 25 Mar 2026 - 6:43

84

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Intuition for the differences between two notions of quantum ergodicity: One given by weak-* convergence and one by pseudodifferential operators

Published on 25 Mar 2026 - 13:55

123

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Proof of first step theorem 7.7.1. in Lars Hormander's "The Analysis of Linear Partial Differential Operators I"

Published on 25 Mar 2026 - 13:56

List Question

Applying propagator to Laplace eigenfunctions

How to justify interchanging the integral with the quantization operator?

Is there a practical formula for quantization on arbitrary subsets of $\mathbb{R}^n$

Determining whether there is a missing $i$ in Zworski's example of a pseudodifferential operator corresponding to a given symbol

Reference request for the Liouville theorem (Liouville measure & Hamiltonians) on Riemannian manifolds

$O_{\mathcal{S}'\rightarrow \mathcal{S}}(h^\infty)$

Approximating integral involving associated Laguerre polynomial

Wavefront set of coherent state

Asymptotic expansions with compactly supported terms and smoothing operators

Spectrum of the Weyl quantized operator $\mathrm{Op}\left(\sqrt{\frac{x^2+p^2}{2}}\right)$

About semiclassical analysis and resource request

Creating a bounded operator from an unbounded symbol ? - discussion around the Calderon-Vaillancourt theorem

Understanding why $\partial_t\kappa_t = H_q = (\kappa_t)_*H_q$ for smooth symbol $q$, symplectomorphism $\kappa$ and Hamiltonian vector field $H$

Intuition for the differences between two notions of quantum ergodicity: One given by weak-* convergence and one by pseudodifferential operators

Proof of first step theorem 7.7.1. in Lars Hormander's "The Analysis of Linear Partial Differential Operators I"

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