DocumentCode
2863282
Title
Spectral series of the three-dimensional quantum anharmonic oscillator
Author
Poteryakhin, M.A.
Author_Institution
Inst. for Natural Sci. & Ecology, RRC Kurchatov Inst.
fYear
2000
fDate
2000
Firstpage
127
Lastpage
133
Abstract
We consider the problem of constructing spectral series of a three-dimensional Schrodinger operator. Our results deal with the properties (like stability, reducibility, etc.) of the family of Hill equations (ordinary differential equations of second order with periodic coefficients). These properties are investigated by analytical and numeric methods and the curious structure of the mentioned spectral series and related quasimodes is described
Keywords
Schrodinger equation; eigenvalues and eigenfunctions; harmonic oscillators; mathematical operators; quantum theory; Hill equations; ordinary differential equations; periodic coefficients; quasimodes; reducibility; second order equations; spectral series; stability; three-dimensional Schrodinger operator; three-dimensional quantum anharmonic oscillator; Differential equations; Diffraction; Eigenvalues and eigenfunctions; Environmental factors; Hydrogen; Oscillators; Periodic structures; Resonance; Resonant frequency; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Day on Diffraction Millenniuym Workshop, 2000. International Seminar
Conference_Location
St. Petersburg
Print_ISBN
5-7997-0252-4
Type
conf
DOI
10.1109/DD.2000.902365
Filename
902365
Link To Document