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

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Article number	031501
Journal	Journal of Mathematical Physics
Volume	61
Issue number	3
DOIs	https://doi.org/10.1063/1.5142272
Publication status	Published - 1 Mar 2020

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.5142272

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abstract = "The purpose of this article is to show the asymptotic behavior of the solution of the abstract Schr{\"o}dinger 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.",

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AB - 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.

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

Abstract

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