Exponential bounds on curvature-induced resonances in a two-dimensional Dirichlet tube

被引：0

作者：

Duclos, P ^{[1
]}

Exner, P

Meller, B

机构：

[1] CNRS, Ctr Phys Theor, F-13288 Marseille, France

[2] Univ Toulon & Var, PHYMAT, F-83957 La Garde, France

[3] Nucl Phys Inst AS, Rez 25068, Czech Republic

[4] Czech Tech Univ, Doppler Inst, Prague 11519, Czech Republic

来源：

HELVETICA PHYSICA ACTA | 1998年 / 71卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider curvature-induced resonances in a planar two-dimensional Dirichlet tube of a width d. It is shown that the distances of the corresponding resonance poles from the real axis are exponentially small as d --> 0+, provided the curvature of the strip axis, satisfies certain analyticity and decay requirements.

引用

页码：133 / 162

页数：30

共 50 条

[41] On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Champagnat, Nicolas
Diaconis, Persi
Miclo, Laurent
ELECTRONIC JOURNAL OF PROBABILITY, 2012, 17 : 1 - 41
[42] THE TWO-DIMENSIONAL ANALOGUE OF THE LORENTZIAN CATENARY AND THE DIRICHLET PROBLEM
Lopez, Rafael
PACIFIC JOURNAL OF MATHEMATICS, 2020, 305 (02) : 693 - 719
[43] Commensurability resonances in two-dimensional magnetoelectric lateral superlattices
Schluck, J.
Fasbender, S.
Heinzel, T.
Pierz, K.
Schumacher, H. W.
Kazazis, D.
Gennser, U.
PHYSICAL REVIEW B, 2015, 91 (19)
[44] OBSERVATION OF MAGNETOPHONON RESONANCES IN A TWO-DIMENSIONAL ELECTRONIC SYSTEM
TSUI, DC
ENGLERT, T
CHO, AY
GOSSARD, AC
PHYSICAL REVIEW LETTERS, 1980, 44 (05) : 341 - 344
[45] Resonances for magnetic stark Hamiltonians in two-dimensional case
Dimassi, M
Petkov, V
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, 2004 (77) : 4147 - 4179
[46] Semiclassical resonances for the two-dimensional matrix Schrodinger operator
Nedelec, L
ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1996, 65 (02): : 129 - 162
[47] Scattering resonances in two-dimensional crystals with application to graphene
Nazarov, V. U.
Krasovskii, E. E.
Silkin, V. M.
PHYSICAL REVIEW B, 2013, 87 (04):
[48] Curvature-Induced One-Dimensional Phonon Polaritons at Edges of Folded Boron Nitride Sheets
Yan, Xingxu
Li, Jie
Gu, Lei
Gadre, Chaitanya Avinash
Moore, Samuel L.
Aoki, Toshihiro
Wang, Shuopei
Zhang, Guangyu
Gao, Zhaoli
Basov, Dimitri N.
Wu, Ruqian
Pan, Xiaoqing
NANO LETTERS, 2022, 22 (23) : 9319 - 9326
[49] Friction-induced bubble edge curvature in flowing two-dimensional confined foams
Raufaste, Christophe
Rose, Lauren
Santucci, Stephane
Dollet, Benjamin
PHYSICAL REVIEW FLUIDS, 2025, 10 (02):
[50] POINTED BUBBLES RISING IN A TWO-DIMENSIONAL TUBE
VANDENBROECK, JM
PHYSICS OF FLUIDS, 1986, 29 (05) : 1343 - 1344

← 1 2 3 4 5 →