EXISTENCE AND NONEXISTENCE OF WAVE OPERATORS FOR TIME-DECAYING HARMONIC OSCILLATORS

被引：0

作者：

Ishida, Atsuhide ^{[1
]}

Kawamoto, Masaki ^{[2
]}

机构：

[1] Tokyo Univ Sci, Fac Engn, Dept Liberal Arts, Katsushika Ku, 6-3-1 Niijuku, Tokyo 1258585, Japan

[2] Ehime Univ, Dept Engn Prod, Grad Sch Sci & Engn, 3 Bunkyo Cho, Matsuyama, Ehime 7908577, Japan

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2020年 / 85卷 / 03期

关键词：

scattering theory; nonexistence of wave operators; harmonic oscillator; time-dependent magnetic fields; EQUATIONS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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-lambda) for some 0 <= lambda < 1/2, as determined using the mass of the particle and a coefficient of the harmonic potential.

引用

页码：335 / 350

页数：16

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