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Variational Sturmian approximation: a nonperturbative method of solving time-independent Schrodinger equation

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A variationally improved Sturmian approximation for solving time-independent Schrodinger 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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American Institute of Physics (AIP) Publishing

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Physics, Mathematical

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Journal of Mathematical Physics

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10.1063/1.1385374

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