Critical scattering in a time-dependent harmonic oscillator

Atsuhide Ishida, Masaki Kawamoto

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Controlled time-decaying harmonic oscillator changes the threshold of decay order of the potential functions in order to exist the physical wave operators. This threshold was first reported by Ishida and Kawamoto [6] for the non-critical case. In this paper we deal with the critical case. As for the critical case, the situation changes drastically, and much more rigorous analysis is required than that of non-critical case. We study this critical behavior and clarify the threshold by the power of the log growth of the potential functions. Consequently, this result reveals the asymptotics for quantum dynamics of the critical case.

本文言語English
論文番号124475
ジャーナルJournal of Mathematical Analysis and Applications
492
2
DOI
出版ステータスPublished - 15 12月 2020

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