The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space

Przemysław Górka; Humberto Prado; Daniel J. Pons

doi:10.1063/1.5142272

The asymptotic behavior of the time fractional Schrödinger equation on Hilbert space

Przemysław Górka, Humberto Prado, Daniel J. Pons

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Resumen

The purpose of this article is to show the asymptotic behavior of the solution of the abstract Schrödinger equation with time fractional derivative of order α ∈ (0, 1). We give a detailed description of the long time behavior of the corresponding operator solution. As it is expected in this case, the dynamics are not governed neither by a group nor by a semigroup.

Idioma original	Inglés
Número de artículo	031501
Publicación	Journal of Mathematical Physics
Volumen	61
N.º	3
DOI	https://doi.org/10.1063/1.5142272
Estado	Publicada - 1 mar 2020

Áreas temáticas de ASJC Scopus

Física estadística y no lineal
Física matemática

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10.1063/1.5142272

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