The eigenvalues and eigenfunctions of a spherically symmetric anharmonic oscillator | Zendy

Isaacson David | Zendy; Marchesin Dan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

The eigenvalues and eigenfunctions of a spherically symmetric anharmonic oscillator

Author(s) -

Isaacson David,

Marchesin Dan

Publication year - 1978

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.3160310603

Subject(s) - eigenfunction , mathematics , eigenvalues and eigenvectors , image (mathematics) , spin weighted spherical harmonics , laguerre polynomials , operator (biology) , spherical harmonics , mathematical analysis , anharmonicity , pure mathematics , harmonics , physics , quantum mechanics , computer vision , biochemistry , chemistry , repressor , voltage , computer science , transcription factor , gene

We show that the operator H s has a complete set of eigenfunctionsand eigenvalues, which satisfy[2 l ( l + 1) ‐ (3 n 2 + 3 n + 1)] s + o ( s ) and lim s→0= 0. The functionsare given in spherical coordinates as a product of generalized Laguerre functions and spherical harmonics.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research