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arXiv quant-ph/01050472001-05-11quant-ph

Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schrödinger equation

Ali Mostafazadeh

备注：: Accepted for publication in J. Math. Phys., 18 pages
发表信息：: J. Math. Phys. 42 (2001) 3372-3389
DOI：: 10.1063/1.1385374

英文摘要：

A variationally improved Sturmian approximation for solving time-independent Schrödinger equation is developed. This approximation is used to obtain the energy levels of a quartic anharmonic oscillator, a quartic potential, and a Gaussian potential. The results are compared with those of the perturbation theory, the WKB approximation, and the accurate numerical values.

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