Nonlinear Phenomena in Complex Systems, 2008, Vol.11, No.3, pp.385-389

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2008, Vol.11, No.3, pp.385-389

Improved Perturbative-Variational Approach for Excited States.
V. V. Kudryashov and V. I. Reshetnyak

The approximate wave functions for excited states are constructed in the framework of a perturbative-variational method with the help of a new minimization procedure for integral discrepancy. The numerical verification of a new approach is performed by calculating the expectation values of powers of the quartic oscillator Hamiltonian. The detailed graphical verification of approximate wave functions is fulfilled by means of local discrepancy.
Key words: perturbative-variational approximation, trial functions, local and integral discrepancies

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