Asymptotics of resonances for 1D Stark operators

被引：0
|
作者：
Evgeny L. Korotyaev
机构：
[1] Saint-Petersburg State University,
来源：
Letters in Mathematical Physics | 2018年 / 108卷
关键词：
Stark operator; Asymptotics of resonances; The resonance counting function; Forbidden domain for resonances; 34F15 (47E05);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the Stark operator perturbed by a compactly supported potential on the real line. We determine the forbidden domain for resonances, asymptotics of resonances at high energy and asymptotics of the resonance counting function for large radius.
引用
收藏
页码：1307 / 1322
页数：15
相关论文
共 50 条
  • [1] Asymptotics of resonances for 1D Stark operators
    Korotyaev, Evgeny L.
    LETTERS IN MATHEMATICAL PHYSICS, 2018, 108 (05) : 1307 - 1322
  • [2] Resonances for 1d Stark operators
    Korotyaev, Evgeny L.
    JOURNAL OF SPECTRAL THEORY, 2017, 7 (03) : 699 - 732
  • [3] Resonances for 1D massless Dirac operators
    Iantchenko, Alexei
    Korotyaev, Evgeny
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (08) : 3038 - 3066
  • [4] Global Estimates of Resonances for 1D Dirac Operators
    Korotyaev E.L.
    Letters in Mathematical Physics, 2014, 104 (1) : 43 - 53
  • [5] STARK RESONANCES - ASYMPTOTICS AND DISTRIBUTIONAL BOREL SUM
    CALICETI, E
    GRECCHI, V
    MAIOLI, M
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (02) : 347 - 357
  • [6] Estimates of 1D resonances in terms of potentials
    Evgeny Korotyaev
    Journal d'Analyse Mathématique, 2016, 130 : 151 - 166
  • [7] Estimates of 1D resonances in terms of potentials
    Korotyaev, Evgeny
    JOURNAL D ANALYSE MATHEMATIQUE, 2016, 130 : 151 - 166
  • [8] Tunable Lattice Plasmon Resonances in 1D Nanogratings
    Hua, Yi
    Fumani, Ahmad K.
    Odom, Teri W.
    ACS PHOTONICS, 2019, 6 (02) : 322 - 326
  • [9] Optical resonances in relief metalized 1D gratings
    Nazarova, D.
    Sharlandjiev, P.
    Mednikarov, B.
    HOLOGRAPHY 2005: INTERNATIONAL CONFERENCE ON HOLOGRAPHY, OPTICAL RECORDING, AND PROCESSING OF INFORMATION, 2006, 6252
  • [10] MAGNETIC RESONANCES IN THE 1D SPIN SYSTEM TMNIN
    KOIDO, N
    KAMBE, T
    TERAOKA, S
    HIRAI, S
    GOTO, T
    CHOU, LK
    TALHAM, DR
    MEISEL, MW
    NAGATA, K
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1995, 140 : 1639 - 1640
12345