dorsal/arxiv
View SchemaRevised Iterative Solution for Groundstate of Schroedinger Equation
| Authors | Zhao Wei-Qin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310138 |
| URL | https://arxiv.org/abs/quant-ph/0310138 |
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.
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"abstract": "A revised iterative method based on Green function defined by quadratures\nalong a single trajectory is proposed to solve the low-lying quantum wave\nfunction for Schroedinger equation. Specially a new expression of the perturbed\nenergy is obtained, which is much simpler than the traditional one. The method\nis applied to solve the unharmonic oscillator potential. The revised iteration\nprocedure gives exactly the same result as those based on the single trajectory\nquadrature method. A comparison of the revised iteration method to the old one\nis made using the example of Stark effect. The obtained results are consistent\nto each other after making power expansion.",
"arxiv_id": "quant-ph/0310138",
"authors": [
"Zhao Wei-Qin"
],
"categories": [
"quant-ph"
],
"title": "Revised Iterative Solution for Groundstate of Schroedinger Equation",
"url": "https://arxiv.org/abs/quant-ph/0310138"
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