S. A. Denisov, “Wave packet decomposition for Schrödinger evolution with rough potential and generic value of the parameter”, Algebra i Analiz, 37:2 (2025), 28

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Algebra i Analiz, 2025, Volume 37, Issue 2, Pages 28–59 (Mi aa1958)

Research Papers

Wave packet decomposition for Schrödinger evolution with rough potential and generic value of the parameter

S. A. Denisov

University of Wisconsin-Madison, Department of Mathematics, 480 Lincoln Dr., Madison, WI, 53706, USA

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Abstract: A wave packet decomposition is developed to study the Schrödinger evolution with rough potential. As an application, the bound of the wave propagation is improved for a generic value of the parameter.

Keywords: Schrödinger evolution, perturbation theory, wave packet decomposition.

Funding agency	Grant number
National Science Foundation	NSF-DMS-2054465
Van Vleck Professorship Research Award
This research was supported by the grant NSF-DMS-2054465 and by the Van Vleck Professorship Research Award.

Received: 21.08.2024

Document Type: Article

Language: English

Citation: S. A. Denisov, “Wave packet decomposition for Schrödinger evolution with rough potential and generic value of the parameter”, Algebra i Analiz, 37:2 (2025), 28–59

Citation in format AMSBIB

\Bibitem{Den25}

\by S.~A.~Denisov

\paper Wave packet decomposition for Schr\"odinger evolution with rough potential and generic value of the parameter

\jour Algebra i Analiz

\yr 2025

\vol 37

\issue 2

\pages 28--59

\mathnet{http://mi.mathnet.ru/aa1958}

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https://www.mathnet.ru/eng/aa1958

https://www.mathnet.ru/eng/aa/v37/i2/p28

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	60
Full-text PDF :	1
References:	9
First page:	9

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