Concepedia

Energy levels of a two-dimensional anharmonic oscillator: Characteristic function approach

Naşit Ari, Metin Demi̇ralp

Journal of Mathematical Physics · 1985 · 18 citations · 6 references

DOI

Concepts

Abstract

The eigenlevels of a two-dimensional quartic anharmonic oscillator are identified as the zeros of a ‘‘characteristic function’’ derived from the resolvent. Numerical values are obtained by means of Padé approximants.

References

6

Coupling constant analyticity for the anharmonic oscillator

Barry Simon, Arnold A. Dicke · Annals of Physics · 1970 · 704 citations

, , +8

Quantum theory of anharmonic oscillators: Energy levels of a single and a pair of coupled oscillators with quartic coupling

F. T. Hioe, D. B. Macmillen, E. W. Montroll · Physics Reports · 1978 · 248 citations

, , +12

Quantum theory of anharmonic oscillators. I. Energy levels of oscillators with positive quartic anharmonicity

F. T. Hioe, E. W. Montroll · Journal of Mathematical Physics · 1975 · 227 citations

, , +13

Large orders and summability of eigenvalue perturbation theory: A mathematical overview

Barry Simon · International Journal of Quantum Chemistry · 1982 · 200 citations

, , +9

General anharmonic oscillators

Kalyan Banerjee · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1978 · 127 citations

, , +14