The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential

被引：6

作者：

Tumanov, S. N. ^{[1
]}

Shkalikov, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Mech & Math Fac, Moscow 119991, Russia

来源：

DOKLADY MATHEMATICS | 2015年 / 92卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

DOKLADY Mathematic; Semiclassical Approximation; Base Domain; Liouville Problem; Point Complex;

D O I：

10.1134/S106456241506037X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The limit behavior of the discrete spectrum of the Sturm-Liouville problem whose potential is a polynomial with complex coefficients on an interval, on a half-axis, and on the entire axis is studied. It is shown that, at large parameter values, the eigenvalues are concentrated along the so-called limit spectral graph; the curves forming this graph are classified. Asymptotics of eigenvalues along curves of various types in the graph are calculated.

引用

页码：773 / 777

页数：5

共 13 条

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