No horn of singularities for the double well anharmonic oscillator
β 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
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π SIMILAR VOLUMES
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
## Abstract It is proved that the Borel sum of the RayleighβSchrΓΆdinger perturbation expansion eigenvalue of the triple well anharmonic oscillators __p__^2^ + __x__^2^ β 2~__g__~^2__n__^__x__^2__n__+2^ + __g__^4__n__^__x__^4__n__+2^, __g__ > 0, __n__ = 2.3,β¦ is a complex eigenvalue of a different p
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