The Rayleigh Schro dinger perturbation series for the energy eigenvalue of an anharmonic oscillator defined by the Hamiltonian H (m) (;)=p^2 +x^2+;x^2 m with m=2, 3, 4, .. . diverges quite strongly for every ;{0 and has to summed to produce numerically useful results. However, a divergent weak coupl
✦ LIBER ✦
Strong coupling expansion for anharmonic oscillators and perturbed Coulomb potentials
✍ Scribed by Francisco M. Fernández
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 365 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A Convergent Renormalized Strong Couplin
✍
Ernst Joachim Weniger
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 886 KB
Scaling property of variational perturba
✍
W. Janke; H. Kleinert
📂
Article
📅
1995
🏛
Elsevier Science
🌐
English
⚖ 271 KB
Very accurate summation for the infinite
✍
Ernst Joachim Weniger; Jiří Čížek; Francine Vinette
📂
Article
📅
1991
🏛
Elsevier Science
🌐
English
⚖ 534 KB
Accurate energy levels for the anharmoni
📂
Article
📅
1979
🏛
Elsevier Science
🌐
English
⚖ 82 KB
We introduce a generalization of Wick-ordering which maps the anharmonic oscillator (AO) Hamiltonian for mass m and coupling h exactly into a "Wick-ordered" Hamiltonian with an effective mass M which is a simple analytic function of h and m. The effective coupling rl = X/M3 is bounded. We transform