Spectral series of the three-dimensional quantum anharmonic oscillator

We consider the problem of constructing of spectral series of the three-dimensional Schrodinger operator: [GRAPHICS] [GRAPHICS] Our results deal with properties (like stability, reducibility, etc.) of the family of Hill equations (ordinary differential equations of second order with periodic coefficients): [GRAPHICS] This properties are investigated by analytical bind numeric methods and curious structure of the mentioned spectral series and related quasimodes is described.