On the high-energy asymptotics of the integrated density of states

被引：11

作者：

Korotyaev, E

Pushnitski, A

机构：

[1] Humboldt Univ, Inst Math, D-12489 Berlin, Germany

[2] Loughborough Univ Technol, Dept Math Sci, Loughborough LE11 3TU, Leics, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2003年 / 35卷

关键词：

D O I：

10.1112/S0024609303002467

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assuming that the integrated density of states of a Schrodinger operator admits a high-energy asymptotic expansion, the authors give explicit formulae for the coefficients of this expansion in terms of the heat invariants.

引用

页码：770 / 776

页数：7

共 50 条

[1] Precise high energy asymptotics for the integrated density of states of an unbounded random Jacobi matrix
Klopp, F
REVIEWS IN MATHEMATICAL PHYSICS, 2000, 12 (04) : 575 - 620
[2] HIGH-ENERGY ASYMPTOTICS FOR THE SCATTERING MATRIX ON THE LINE
HINTON, DB
KLAUS, M
SHAW, JK
INVERSE PROBLEMS, 1989, 5 (06) : 1049 - 1056
[3] Asymptotics for a high-energy solution of a supercritical problem
Colasuonno, Francesca
Noris, Benedetta
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 227
[4] HIGH-ENERGY ASYMPTOTICS OF POTENTIAL SCATTERING-AMPLITUDE
SKRIGANOV, MM
DOKLADY AKADEMII NAUK SSSR, 1978, 241 (02): : 326 - 329
[5] Options for integrated beam energy and high-energy experiments for inertial fusion density physics research
Leitner, MA
Celata, CM
Lee, EP
Logan, BG
Waldron, WL
Yu, SS
Barnard, JJ
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2005, 544 (1-2): : 315 - 323
[6] Breakdown of asymptotics of the double photoionization of helium at the high-energy limit
Physical Review A. Atomic, Molecular, and Optical Physics, 1995, 51 (04):
[7] BREAKDOWN OF ASYMPTOTICS OF THE DOUBLE PHOTOIONIZATION OF HELIUM AT THE HIGH-ENERGY LIMIT
DRUKAREV, EG
PHYSICAL REVIEW A, 1995, 51 (04): : R2684 - R2686
[8] High-energy asymptotics of photon-photon collisions in QCD
Brodsky, SJ
Fadin, VS
Kim, VT
Lipatov, LN
Pivovarov, GB
PHOTON 2001, 2002, : 178 - 181
[9] ASYMPTOTICS OF BOLTZMANN KINETIC-EQUATION FOR HIGH-ENERGY PARTICLES
GRIGORIEV, YN
MIKHALITSYN, AN
ARCHIVES OF MECHANICS, 1987, 39 (04): : 303 - 313
[10] Partial cancellation of correlations in the nonrelativistic high-energy asymptotics of the photoeffect
Drukarev, E. G.
Pratt, R. H.
PHYSICAL REVIEW A, 2009, 80 (01):

← 1 2 3 4 5 →