Existence and Nonexistence of Wave Operators for Time-Decaying Harmonic Oscillators

Atsuhide Ishida, Masaki Kawamoto

研究成果: Article査読

9 被引用数 (Scopus)

抄録

Controlled time-decaying harmonic potentials decelerate the velocity of charged particles; however, the particles are never trapped by the harmonic potentials. This physical phenomenon changes the threshold between the short-range and long-range classes of the potential through physical wave operators. We herein report that the threshold is 1/(1 − λ) for some 0 ≤ λ < 1/2, as determined using the mass of the particle and a coefficient of the harmonic potential.

本文言語English
ページ(範囲)335-350
ページ数16
ジャーナルReports on Mathematical Physics
85
3
DOI
出版ステータスPublished - 6月 2020

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