Applications of a Property of the Schrodinger Equation to the Modeling of Conservative Discrete Systems.III

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概要

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• We have deztaonstrated in previotts papers the f'ollowing projcerty of' closed, conservative andbounded systerns: The energy which restrlts f'rottu the Schr6dinger eqtu?rtion can be r'igorotrslycalctrlated by line integrals of' analytical ['ttnctions, if the Hattailton-Jacobi eqtration, xvritten forthe satne systena, is satisfied in the space of' coordinates by a periodical tr;t.jectory. In the presentarticle, we shoxv thstt this property is conraected to the intrinsic wave jcroperties of the systeuaa.This results frouaa the eqttivalence between the Schr6dinger eqtrattion and the wave eqtration, validfor corrservatixre systeuaas. As ;+ conseqtrettce of the warve properties of' the systetaa, we show thatthe Hauauilton-Jacobi equation has alw?tys periodical solutions, whose constants of uaaotion areidentical to the eigenvaltres of the Schr6dinger eqtration, xvritten f'or the saraae systetta. It restrltsthat the calculation naaodel presented in previous papers is generally v?tlid in the case of' closed,conservative and botrnded systetaas. XVe present the applications of the ttaodel to the nitrogenand oxygen atorns, to the hou?s with the sautae strtrcttnre, and to the He,3, Bed and B3 ttaolectrles.

• 社団法人日本物理学会の論文
• 1999-09-15

著者

• Popa Alexandru

  Institute Of Atomic Physics National Institute For Laser Plasma And Radiation Physics Laser Departme

関連論文

• Applications of a Property of the Schrodinger Equation to the Modeling of Conservative Discrete Systems.II
• Applications of a Property of the Schrodinger Equation to the Modeling of Conservative Discrete Systems.III

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