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

Przemysław Górka, Humberto Prado, Daniel J. Pons

Research output: Contribution to journalArticlepeer-review

1 Citation (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 languageEnglish
Article number031501
JournalJournal of Mathematical Physics
Volume61
Issue number3
DOIs
Publication statusPublished - 1 Mar 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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