A number-theoretic problem about energy levels of a perturbed harmonic oscillator

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