非简谐振子的最陡下降理论计算

Theoretical Calculations of Energies of an Anharmonic Oscillator Using Steepest Descent Method

本文将由Ｃｉｏｓｌｏｗｓｋｉ提出并被文根旺发展了的最陡下降理论用于非简谐振子的计算中，同时讨论了各参数对计算结果的影响．计算表明，在给定的精度下，利用最陡下降法可以得到与精确解相同的结果。

Energies of the anhrmonic oscillator were calctilated using the steepest descentmethod which was proposed by Cioslowski and extended by Wen Genwang. The eresults ob-tained with the steepest descent method are the same as the exact solutions at a given accura-cy.The influences of the parameteres on calculated results arediscussed,and it is suggestedthat steepest descent method is very hopeful in the aspect of the extensive applications.