Some Symbolic-Numeric Methods for Calculation of Energy Eigenvalues for the Quantum Anharmonic Oscillators

Аннотация

One-dimensional Shr.odinger's equation for the quartic, sexic and octic anharmonical oscillators is considered. The energy spectra of this quantum oscillators by the quantization of classical Lindstedt-Poincare trajectories, by the method of the Deprit-Hori normal forms and by using the power series are obtained. The comparison of obtained results are performed.