|Table of Contents|

Continuous Spectrum on Upper-triangular-type Infinite Dimensional Hamiltonian Operators

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2005年02期
Page:
240-243
Research Field:
Publishing date:

Info

Title:
Continuous Spectrum on Upper-triangular-type Infinite Dimensional Hamiltonian Operators
Author(s):
HUANG Jun-jieAlatancang
Department of Mathematics,NeiMongol University, Hohhot 010021, China
Keywords:
non-sel-f adjoint operators upper-triangular-ty pe inf inite dimensional Hamiltonian operatorscont inuous spect rum
PACS:
O177.7
DOI:
-
Abstract:
The problems are studied that w hether the cont inuous spectrum of an infinite dimensional Hamiltonian operator is empty or not and when it is empty. A necessary and suff icient condit ion is obtained that the cont inuous spectrum of upper-t riang ular-type infinite dimensional Hamiltonian operators is empty and its criterions are given. In the end, a concrete example of inf inite dimensional Hamiltonian operators is const ructed to just ify the effectiveness of the criterions.

References:

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Last Update: 2013-05-23