List questions from semiclassical-analysis

Published on 10 May 2026 - 14:03

172

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How to justify interchanging the integral with the quantization operator?

Published on 10 May 2026 - 14:03

71

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

Published on 05 May 2026 - 8:33

19

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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 07 May 2026 - 17:17

85

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

Published on 28 Apr 2026 - 1:07

102

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

Published on 10 May 2026 - 14:03

118

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Approximating integral involving associated Laguerre polynomial

Published on 24 Apr 2026 - 8:28

117

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Wavefront set of coherent state

Published on 10 May 2026 - 14:05

86

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Asymptotic expansions with compactly supported terms and smoothing operators

Published on 27 Apr 2026 - 14:04

51

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

Published on 07 May 2026 - 11:55

51

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About semiclassical analysis and resource request

Published on 10 May 2026 - 14:03

107

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

Published on 10 May 2026 - 14:06

43

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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 Apr 2026 - 19:42

88

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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 10 May 2026 - 14:06

131

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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 10 May 2026 - 14:07

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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