𝔖 Bobbio Scriptorium
✦   LIBER   ✦

No horn of singularities for the double well anharmonic oscillator

✍ Scribed by W.Y. Crutchfield II


Book ID
113340633
Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
301 KB
Volume
77
Category
Article
ISSN
0370-2693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Exact results for the statistical thermo
✍ W. Witschel πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 323 KB

Novcmbcr 19S1, m linti form 4 Dcccmber 1981 C\act analyticd rcsul~s arc presented for the high-tcmpcnturc bchavlour or the anharmoruc osc~Uator wth fi = ~'/lm + k2.? + k3.i' + k$, BJ > 0. Thr classs~al partition function and Ihc cwct Golden-Thompson upper bound wlh and wlboul vdnallon of the hJrmonK

Meaning of the perturbation theory for a
✍ S. Graffi πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 154 KB

## 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 p

Accurate energy levels for the anharmoni
πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 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