Limiting Absorption Principle and Radiation Condition for Repulsive Hamiltonians-Reference-Cited by-同舟云学术

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Limiting Absorption Principle and Radiation Condition for Repulsive Hamiltonians

Published:2021-08-15 Issue:2 Volume:64 Page:199-223
ISSN:0532-8721
Container-title:Funkcialaj Ekvacioj
language:en
Short-container-title:FE

Author:

Itakura Kyohei¹

Affiliation:

1. Ritsumeikan University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://www.jstage.jst.go.jp/article/fesi/64/2/64_199/_pdf

Reference19 articles.

1. [A] Agmon, S., Lower bounds for solutions of Schrödinger equations, J. Analyse. Math., 23 (1970), 1-25.

2. [BCHM] Bony, J. F., Carles, R., Häfner, D. and Michel, L., Scattering theory for the Schrödinger equation with repulsive potential, J. Math. Pures Appl., 84 (2005), 509-579.

3. [FI] Finster, F. and Isidro, J. M., L^p-spectrum of the Schrödinger operator with inverted harmonic oscillator potential, J. Math. Phys., 58 (2017), 092104, 9 pp.

4. [FH] Froese, R. and Herbst, I., Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators, Comm. Math. Phys., 87 (1982/83), 429-447.

5. [FHH2O] Froese, R., Herbst, I., Hoffmann-Ostenhof, M. and Hoffman-Ostenhof, T., On the absence of positive eigenvalues for one-body Schrödinger operators, J. Analyse Math., 41 (1982), 272-284.

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1. Inverse scattering for repulsive potential and strong singular interactions;Journal of Mathematical Physics;2024-08-01

2. Nonexistence of wave operators via strong propagation estimates for Schrödinger operators with sub-quadratic repulsive potentials;Journal of Mathematical Physics;2023-12-01

3. Scattering theory for repulsive Schrödinger operators and applications to the limit circle problem;Analysis & PDE;2021-11-10

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