Solving the Schr\"odinger Equation with Power Anharmonicity
  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. 
Vladimir B. Belyaev and Andrej Babi\v{c}
quant-ph