✦ LIBER ✦

Exact results for the statistical thermodynamics of the asymmetric single- and double-well anharmonic oscillator

✍ Scribed by W. Witschel

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 323 KB
Volume: 86
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(82)80191-7

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✦ Synopsis

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 rrequcncy arc calculated Tor both sin&-and double-well oscdlators.

📜 SIMILAR VOLUMES

Accurate energy levels for the anharmoni

Accurate energy levels for the anharmonic oscillator and a summable series for the double-well potential in perturbation theory: William E. Caswell. Department of Physics, Brown University, Providence, Rhode Island 02912

📂 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