Solving the Schr\"odinger Equation with Power Anharmonicity
Quantum Physics
2014-09-18 v1
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.
Cite
@article{arxiv.1409.5086,
title = {Solving the Schr\"odinger Equation with Power Anharmonicity},
author = {Vladimir B. Belyaev and Andrej Babič},
journal= {arXiv preprint arXiv:1409.5086},
year = {2014}
}
Comments
4 pages