Nonlinear Dynamics and Applications

2007, Vol.14, pp.81-84

Improved variational approach for radial wave functions.
V.V. Kudryashov, V.I. Reshetnyak

The approximate radial wave functions for excited states corresponding to power-law potentials are constructed in the framework of a variational method with the help of a new minimization procedure for an integral discrepancy. The detailed graphical verification of approximate wave functions is fulfilled by means of local discrepancy. The approximate energy eigenvalues are in good agreement with exact numerical results.
Key words: variational approximation, trial functions, local and integral discrepancies

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