𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Semi-Classical Asymptotic of Spectral Function for Some Schrödinger Operators

✍ Scribed by G. E. Karadzhov


Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
466 KB
Volume
128
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper one obtains a result concerning the asymptotic behaviour of the spectral function on the diagonal for SCHRODINOER operators Ah = --A + V as h -+ 0. This asymptotic change the form on the energy level V ( x ) = A.


📜 SIMILAR VOLUMES


Spectral Asymptotics for Schrödinger Ope
✍ P. Kurasov; J. Larson 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 150 KB

Spectrum of the second-order differential operator with periodic point interactions in L 2 R is investigated. Classes of unitary equivalent operators of this type are described. Spectral asymptotics for the whole family of periodic operators are calculated. It is proven that the first several terms

Stationary Scattering in the Semi-classi
✍ R. Brummelhuis; P. Levy-Bruhl; J. Nourrigat 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 296 KB

We study the classical limit of the stationary scattering theory for a Schro dinger operator in a compactly supported gauge field. We show that, under suitable hypotheses on the associated classical flow, the scattering amplitude has a complete asymptotic expansion in the semi-classical parameter, a

Quadratic Pencil of Schrödinger Operator
✍ Elgiz Bairamov; Öner Çakar; A.Okay Çelebi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 245 KB

In this article we investigated the spectrum of the quadratic pencil of Schro-Ž . Ž . dinger operators L generated in L ‫ޒ‬ by the equation 2 q 2 w yyЉ q V x q 2U x y y s 0, x g ‫ޒ‬ s 0, ϱ 2 q Ž . about the spectrum of L have also been applied to radial Klein᎐Gordon and one-dimensional Schrodinger

Sharp Inequalities for Heat Kernels of S
✍ Rodrigo Bañuelos; Pedro J. Méndez-Hernández 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 208 KB

This paper derives inequalities for multiple integrals from which sharp inequalities for ratios of heat kernels and integrals of heat kernels of certain Schro dinger operators follow. Such ratio inequalities imply sharp inequalities for spectral gaps. The multiple integral inequalities, although ver