Nonlinear Dynamics and Applications

2006, Vol.13, pp.229-235


Improved variational method and wave functions for excited states.
V.V. Kudryashov, V.I. Reshetnyak

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

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