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arXiv · 2606.03076

Optimal constants of smoothing estimates for quantum harmonic oscillators

Soichiro Suzuki
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Abstract

We study optimal constants and extremizers of smoothing estimates for quantum harmonic oscillators. In particular, we establish harmonic oscillator analogues of free particle results due to Simon (1992), Bez and Sugimoto (2014), and Bez et al. (2015).

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Soichiro Suzuki. 2026-06-02. Optimal constants of smoothing estimates for quantum harmonic oscillators. https://arxiv.org/abs/2606.03076

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