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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.