REGULARIZED TRACE FORMULA FOR SOME SINGULAR SCHRODINGER TYPE OPERATOR

被引：0

作者：

El-Raheem, Zaki F. A. ^{[1
]}

机构：

[1] Univ Alexandria, Fac Educ, Dept Math, Alexandria, Egypt

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2014年 / 40卷

关键词：

regularized trace formula; contour integration; the eigenvalues; scattering function; asymptotic formula; Schrodinger equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove and calculate a regularized trace formula for the spectra of schrodinger type operator with explosive factor on the half line. The methodology used is carried out by applying contour integration over a complex plane, the result obtained contains both the sum of eigenvalues and integration of scattering function, because of the nature of spectra is discreet and continuous.

引用

页码：133 / 142

页数：10

共 50 条

[11] THE SECOND REGULARIZED TRACE FORMULA FOR THE STURM-LIOUVILLE OPERATOR
Akgun, F. Aydin
Bayramoglu, M.
Bayramov, A.
MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 17 - 32
[12] A second regularized trace formula for a higher order differential operator
Gul, Erdal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) : 5099 - 5109
[13] A regularized trace formula for a well-perturbed Laplace operator
B. E. Kanguzhin
N. E. Tokmagambetov
Doklady Mathematics, 2015, 91 : 1 - 4
[14] A Regularized Trace Formula for a Well-Perturbed Laplace Operator
Kanguzhin, B. E.
Tokmagambetov, N. E.
DOKLADY MATHEMATICS, 2015, 91 (01) : 1 - 4
[15] A Second Regularized Trace Formula for a Fourth Order Differential Operator
Gul, Erdal
Ceyhan, Aylan
SYMMETRY-BASEL, 2021, 13 (04):
[16] A Formula for the First Regularized Trace of a Perturbed Laplace–Beltrami Operator
V. A. Sadovnichii
Z. Yu. Fazullin
Differential Equations, 2001, 37 : 430 - 438
[17] A TRACE FORMULA FOR A SINGULAR STURM-LIOUVILLE OPERATOR
AMANGILDIN, TG
DIFFERENTIAL EQUATIONS, 1982, 18 (08) : 899 - 904
[18] The regularized trace formula for the Sturm-Liouville operator with a rounded operator coefficient and with a singularity
Bairamogly, M
Adygezalov, AA
DIFFERENTIAL EQUATIONS, 1996, 32 (12) : 1581 - 1585
[19] The third regularized trace formula for the Sturm-Liouville operator with the bounded operator coefficient
Baksi, Oezlem
Adiguezelov, Ehliman
MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (9-10) : 1846 - 1857
[20] THE FORMULA FOR THE REGULARIZED TRACE OF THE STURM-LIOUVILLE OPERATOR WITH A LOGARITHMIC POTENTIAL
Ishkin, Khabir Kabirovich
Valiullina, Leisan Gabdullovna
TAMKANG JOURNAL OF MATHEMATICS, 2019, 50 (03): : 269 - 280

← 1 2 3 4 5 →