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arXiv · 1409.5086

Solving the Schr\"odinger Equation with Power Anharmonicity

Vladimir B. Belyaev·Andrej Babič
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Abstract

We present an application of a nonstandard approximate method---the finite-rank approximation---to solving the time-independent Schr\"odinger equation for a bound-state problem. The method is illustrated on the example of a three-dimensional isotropic quantum anharmonic oscillator with additive cubic or quartic anharmonicity. Approximate energy eigenvalues are obtained and convergence of the method is discussed.

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Vladimir B. Belyaev, Andrej Babič. 2014-09-17. Solving the Schr\"odinger Equation with Power Anharmonicity. https://arxiv.org/abs/1409.5086

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