Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8202694 | Annals of Physics | 2013 | 17 Pages |
Abstract
In the present contribution, we derive an asymptotic expansion for the energy eigenvalues of anharmonic oscillators for potentials of the form V(x)=κx2q+Ïx2,q=2,3,⦠as the energy level n approaches infinity. The asymptotic expansion is obtained using the WKB theory and series reversion. Furthermore, we construct an algorithm for computing the coefficients of the asymptotic expansion for quartic anharmonic oscillators, leading to an efficient and accurate computation of the energy values for nâ¥6.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Philippe Gaudreau, Richard M. Slevinsky, Hassan Safouhi,