Title :
Spectral series of the three-dimensional quantum anharmonic oscillator
Author :
Poteryakhin, M.A.
Author_Institution :
Inst. for Natural Sci. & Ecology, RRC Kurchatov Inst.
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;
Conference_Titel :
Day on Diffraction Millenniuym Workshop, 2000. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0252-4
DOI :
10.1109/DD.2000.902365
