A note on the Schrödinger smoothing effect
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800502
Abstract: The Kato–Yajima smoothing estimate is a smoothing weighted L2 estimate with a singular power weight for the Schrödinger propagator. The weight has been generalized relatively recently to Morrey–Campanato weights. In this paper we make this… read more here.
Keywords: schr; note schr; dinger smoothing; schr dinger ... See more keywords
Decay of the stochastic linear Schrödinger equation in $$d \ge 3$$ d ≥ 3 with small multiplicative noise
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DOI: 10.1007/s40072-020-00172-9
Abstract: We give decay estimates of the solution to the linear Schrödinger equation in dimension $$d \ge 3$$ d ≥ 3 with a small noise which is white in time and colored in space. As a… read more here.
Keywords: dinger equation; decay; schr; linear schr ... See more keywords
Continuity of the spectrum of quasi-periodic Schrödinger operators with finitely differentiable potentials
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DOI: 10.1017/etds.2018.48
Abstract: In this paper, we consider the spectrum of discrete quasi-periodic Schrödinger operators on $\ell ^{2}(\mathbb{Z})$ with the potentials $v\in C^{k}(\mathbb{T})$ . For sufficiently large $k$ , we show that the Lebesgue measure of the spectrum… read more here.
Keywords: periodic schr; schr; quasi periodic; schr dinger ... See more keywords
The Schrödinger’s cat stage of the pandemic
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DOI: 10.1080/14739879.2022.2090862
Abstract: What I’m about to describe is very much focused on the United Kingdom. However, readers in countries across the world who are not currently facing the same situation will quite possibly be doing so sometime… read more here.
Keywords: educator; dinger cat; schr; schr dinger ... See more keywords
Semiclassical cosmology with backreaction: The Friedmann-Schrödinger equation and inflation
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DOI: 10.1103/physrevd.99.086018
Abstract: We propose and study a semi-classical cosmological system akin to the Newton-Schr\"odinger equation where matter field evolution is determined by time dependent Schr\"odinger equation. The resulting dynamics is one where the scale factor self-consistently informs… read more here.
Keywords: inflation; scalar field; equation; schr ... See more keywords