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A case concerning the improved transition probability

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arxiv quant-ph/0611195 v2 pith:GNTMVM6O submitted 2006-11-18 quant-ph physics.atom-ph

A case concerning the improved transition probability

classification quant-ph physics.atom-ph
keywords calculationperturbationprobabilityschemetransitionwangefficiencyenergy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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As is well known, the existed perturbation theory can be applied to calculations of energy, state and transition probability in many quantum systems. However, there are different paths and methods to improve its calculation precision and efficiency in our view. According to an improved scheme of perturbation theory proposed by [An Min Wang, quant-ph/0611217], we reconsider the transition probability and perturbed energy for a Hydrogen atom in a constant magnetic field. We find the results obtained by using Wang's scheme are indeed more satisfying in the calculation precision and efficiency. Therefore, Wang's scheme can be thought of as a powerful tool in the perturbation calculation of quantum systems.

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