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New variational perturbation theory based on $q-$deformed oscillator

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arxiv hep-th/0412019 v5 pith:46BJHAMT submitted 2004-12-02 hep-th nucl-thquant-ph

classification hep-thnucl-thquant-ph
keywords oscillatorperturbationvariationaldeformedgaussiantheoryaccuracyanharmonic
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abstract

A new variational perturbation theory is developed based on the $q-$deformed oscillator. It is shown that the new variational perturbation method provides 200 or 10 times better accuracy for the ground state energy of anharmonic oscillator than the Gaussian and the improved Gaussian approximation, respectively.

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