Rayleigh-Ritz Method, Secular Determinant, and Anharmonic Oscillators
S. Graffi, V. Grecchi · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1973
The standard Rayleigh-Ritz procedure yielding the successive truncations of the secular determinant is applied to any anharmonic oscillator (${x}^{2m}$ and in any finite number of dimensions). In this way we obtain a rigorously convergent as well as numerically very effective approximation procedure for any eigenvalue and eigenvector of the abovementioned Hamiltonians.