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

共 50 条

[1] QUANTUM INVERSE SCATTERING FOR TIME-DECAYING HARMONIC OSCILLATORS
Ishida, Atsuhide
INVERSE PROBLEMS AND IMAGING, 2025, 19 (02) : 282 - 296
[2] Final state problem for nonlinear Schrodinger equations with time-decaying harmonic oscillators
Kawamoto, Masaki
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 503 (01)
[3] Strichartz estimates for harmonic potential with time-decaying coefficient
Masaki Kawamoto
Taisuke Yoneyama
Journal of Evolution Equations, 2018, 18 : 127 - 142
[4] Strichartz estimates for harmonic potential with time-decaying coefficient
Kawamoto, Masaki
Yoneyama, Taisuke
JOURNAL OF EVOLUTION EQUATIONS, 2018, 18 (01) : 127 - 142
[5] Asymptotic behavior for nonlinear Schrodinger equations with critical time-decaying harmonic potential
Kawamoto, Masaki
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 303 : 253 - 267
[6] Time operators of harmonic oscillators and their representations
Hiroshima, Fumio
Teranishi, Noriaki
JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (04)
[7] Maintaining time-decaying stream aggregates
Cohen, E
Strauss, MJ
JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 2006, 59 (01): : 19 - 36
[8] EXISTENCE AND NONEXISTENCE RESULTS FOR WAVE-OPERATORS FOR PERTURBATIONS OF THE LAPLACIAN
JENSEN, A
OZAWA, T
REVIEWS IN MATHEMATICAL PHYSICS, 1993, 5 (03) : 601 - 629
[9] Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials
Kawamoto, Masaki
Miyazaki, Hayato
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 256
[10] Scalable Time-Decaying Adaptive Prediction Algorithm
Tan, Yinyan
Fan, Zhe
Li, Guilin
Wang, Fangshan
Li, Zhengbing
Liu, Shikai
Pan, Qiuling
Xing, Eric P.
Ho, Qirong
KDD'16: PROCEEDINGS OF THE 22ND ACM SIGKDD INTERNATIONAL CONFERENCE ON KNOWLEDGE DISCOVERY AND DATA MINING, 2016, : 617 - 626

← 1 2 3 4 5 →