Semi‐Classical Asymptotic of Spectral Function for Some Schrödinger Operators | Zendy

Karadzhov G. E. | Zendy

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Semi‐Classical Asymptotic of Spectral Function for Some Schrödinger Operators

Author(s) -

Karadzhov G. E.

Publication year - 1986

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19861280109

Subject(s) - mathematics , diagonal , schrödinger's cat , asymptotic expansion , function (biology) , asymptotic analysis , asymptotic formula , mathematical physics , energy (signal processing) , spectral properties , spectral function , mathematical analysis , pure mathematics , physics , geometry , statistics , computational chemistry , chemistry , evolutionary biology , biology , condensed matter physics

In this paper one obtains a result concerning the asymptotic behaviour of the spectral function on the diagonal for SCHRÖDINGER operators A h = – h 2 /2 λ + V as h → 0. This asymptotic change the form on the energy level V ( x ) = λ.

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