𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Meaning of the perturbation theory for a class of multiple-well anharmonic oscillators

✍ Scribed by S. Graffi

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
154 KB
Volume
21
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

It is proved that the Borel sum of the Rayleigh‐SchrΓΆdinger perturbation expansion eigenvalue of the triple well anharmonic oscillators p^2^ + x^2^ βˆ’ 2~g~^2__n__^x^2__n__+2^ + g^4__n__^x^4__n__+2^, g > 0, n = 2.3,… is a complex eigenvalue of a different problem. Its relation with the eigenvalues of the original Hamiltonian is discussed.

πŸ“œ SIMILAR VOLUMES

A class of exact solutions for doubly an
A class of exact solutions for doubly anharmonic oscillators
✍ Virendra Singh; Anita Rampal; S. N. Biswas; K. Datta πŸ“‚ Article πŸ“… 1980 πŸ› Springer 🌐 English βš– 108 KB

The solution of a difference equation in the form of an infinite continued fraction is used to obtain a class of exact solutions for the eigenfunctions and eigenvalues of doubly anharmonic oscillators described by potentials of the type (1/2)602 x 2 + (1/4)Lv 4 + (1/6)r/X 6 , > 0, provided certain c