CONCAVITY PROPERTIES OF KREINS SPECTRAL SHIFT FUNCTION

被引：13

作者：

GEISLER, R ^{[1
]}

KOSTRYKIN, V ^{[1
]}

SCHRADER, R ^{[1
]}

机构：

[1] ST PETERSBURG STATE UNIV,DEPT MATH & COMPUTAT PHYS,ST PETERSBURG 198904,RUSSIA

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 1995年 / 7卷 / 02期

关键词：

D O I：

10.1142/S0129055X95000098

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the integrated Krein's spectral shift function for one particle Schrodinger operators in R(3) is concave with respect to the perturbation potential. The proof is given by showing that the spectral shift function is the limit in the distributional sense of the difference of the counting functions for the given Hamiltonian and the free Hamiltonian in a finite domain Lambda with Dirichlet boundary conditions when Lambda --> infinity.

引用

页码：161 / 181

页数：21

共 50 条

[1] Concavity of eigenvalue sums and the spectral shift function
Kostrykin, V
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 176 (01) : 100 - 114
[2] The Spectral Shift Function and Spectral Flow
N. A. Azamov
A. L. Carey
F. A. Sukochev
[J]. Communications in Mathematical Physics, 2007, 276 : 51 - 91
[3] The spectral shift function and spectral flow
Azamov, N. A.
Carey, A. L.
Sukochev, F. A.
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 276 (01) : 51 - 91
[4] THE ASYMPTOTICS OF A SPECTRAL SHIFT FUNCTION
IVRII, VJ
SHUBIN, MA
[J]. DOKLADY AKADEMII NAUK SSSR, 1982, 263 (02): : 283 - 284
[5] ON SPECTRAL PROPERTIES OF OPERATORS WITH SHIFT
BRENNER, VV
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1982, 37 (01) : 159 - 160
[6] ON SPECTRAL PROPERTIES OF OPERATORS WITH A SHIFT
ANTONEVICH, AB
LEBEDEV, AV
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1983, 47 (05): : 201 - 224
[7] Jump at zero of the spectral shift function
Carron, G
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 212 (01) : 222 - 260
[8] EFFICIENT BOUNDS FOR THE SPECTRAL SHIFT FUNCTION
SOBOLEV, AV
[J]. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1993, 58 (01): : 55 - 83
[9] Meromorphic continuation of the spectral shift function
Bruneau, V
Petkov, V
[J]. DUKE MATHEMATICAL JOURNAL, 2003, 116 (03) : 389 - 430
[10] Spectral shift function of higher order
Denis Potapov
Anna Skripka
Fedor Sukochev
[J]. Inventiones mathematicae, 2013, 193 : 501 - 538

← 1 2 3 4 5 →