Self-consistent field calculations for anharmonic oscillators, a text, 18 pages

- Coupled double barrier Hamiltonian
- Table. Energies of Farrelly coupled barrier Hamiltonian without rescaling, SCF only
- Table. Energies of Farrelly coupled barrier Hamiltonian with rescaling, SCF vs exact
- Model Davis - Heller (or Eastes - Marcus) potential
- Table. Energies of Davis - Heller potential SCF vs exact
- Table. Energies of Eastes - Marcus potential SCF vs exact
- Eastes - Marcus (or Barbanis) potential without lambda eta x^3 term

**Figures**

- Energies of Farrelly coupled barrier Hamiltonian without rescaling, SCF coefficients
- Difference between roots of the quadratic equation, Eastes - Marcus potential, exact series
- Dependence of Re E and Im E on lambda for Barbanis potential (exact and separability approximation)
- Dependence of Re E and Im E on lambda for Eastes potential, relatively large lambda
- Number of correct digits vs Number of coefficients used, Algebraic approximants for Davis - Heller potential nx=2 ny=0 state, lambda = 1
- Number of correct digits vs Number of coefficients used, Algebraic approximants for Davis - Heller potential nx=9 ny=0 state, lambda = 1
- Number of correct digits vs Number of coefficients used, Algebraic approximants for Davis - Heller potential nx=9 ny=1 state

**Three-dimensional anharmonic oscillators**

- Comparison of different separability approximations (complete and partial) with exact results obtained by perturbation theory for three-mode system , 4 pages
- The same, for the case of large coupling between x and y coordinates
- The same, for the case of near Fermi resonance
- Tables
- Christoffel - Bowman anharmonic oscillator (Chem. Phys. Lett. 85, 220, 1982), Complete separability approximation x-y-z
- The same, Partial separability approximation xy-z
- The same, Partial separability approximation yz-x
- The same, Exact (without separability)
- Figures

Calculate Rayleigh - Schrodinger perturbation series for the
Barbanis potential (two-dimensional anharmonic oscillator) using *Mathematica* programs.

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Designed by A. Sergeev.