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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

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

classification hep-th nucl-thquant-ph
keywords oscillatorperturbationvariationaldeformedgaussiantheoryaccuracyanharmonic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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