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Very accurate summation for the infinite coupling limit of the perturbation series expansions of anharmonic oscillators

✍ Scribed by Ernst Joachim Weniger; Jiří Čížek; Francine Vinette

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
534 KB
Volume
156
Category
Article
ISSN
0375-9601

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📜 SIMILAR VOLUMES

The connected moments expansion for the
The connected moments expansion for the zero-point energy of coupled anharmonic oscillators
✍ J. Cioslowski 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 254 KB

The connected moment expansion ( CMX) technique is used to calculate the zero-point energy of an arbitrary system of coupled anharmonic oscillators. When the anharmonic term has the form of a polynomial with respect to the normal coordinates, it is possible to calculate the zero-point energy in a co

A Convergent Renormalized Strong Couplin
A Convergent Renormalized Strong Coupling Perturbation Expansion for the Ground State Energy of the Quartic, Sextic, and Octic Anharmonic Oscillator
✍ Ernst Joachim Weniger 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 886 KB

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

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