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Revised Iterative Solution for Groundstate of Schrodinger Equation

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Publication:5321347

DOI10.1088/0253-6102/42/1/37zbMATH Open1167.81381arXivquant-ph/0310138OpenAlexW2103479122MaRDI QIDQ5321347

Author name not available (Why is that?)

Publication date: 22 July 2009

Published in: (Search for Journal in Brave)

Abstract: A revised iterative method based on Green function defined by quadratures along a single trajectory is proposed to solve the low-lying quantum wave function for Schroedinger equation. Specially a new expression of the perturbed energy is obtained, which is much simpler than the traditional one. The method is applied to solve the unharmonic oscillator potential. The revised iteration procedure gives exactly the same result as those based on the single trajectory quadrature method. A comparison of the revised iteration method to the old one is made using the example of Stark effect. The obtained results are consistent to each other after making power expansion.


Full work available at URL: https://arxiv.org/abs/quant-ph/0310138



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