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One Description of the Spectrum for a Class of the Indefinite Dimensional Hamiltonian Operator

Author: XingLiGang
Tutor: ALaTanCang
School: Inner Mongolia University
Course: Applied Mathematics
Keywords: Infinite dimensional Hamilton operator Point spectrum Continuous spectrum Residual Spectrum This mass spectrometry Fredholm operator
CLC: O177
Type: Master's thesis
Year: 2007
Downloads: 76
Quote: 1
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Abstract


Linear operator Spectrum theory is an important branch of modern functional analysis , theory and applications of great significance . This article focuses on the spectrum of infinite dimensional Hamiltonian operator , completely characterize a class of infinite dimensional Hamiltonian operator spectrum . First, we discuss the infinite dimensional Hamiltonian operator with the definition of the angle- domain point spectrum , continuous spectrum and the remaining spectrum using elements of infinite dimensional Hamilton operator to operator , given the type of point of infinite dimensional Hamilton operator a description of the spectrum of a continuous spectrum and residual spectrum . Secondly, we first discussed the mass spectrum of the infinite - dimensional Hamiltonian operator , given a description of the Spectrum of infinite dimensional Hamilton operator .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
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