The path integral method and the large quantum number behaviour of the energy levels of coupled anharmonic oscillators
โ Scribed by S.K. Bose; D.N. Tripathy
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 178 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0375-9601
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๐ SIMILAR VOLUMES
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
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