Tight upper and lower bounds for energy eigenvalues of the Schrödinger equation
- 1 February 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (4) , 1605-1609
- https://doi.org/10.1103/physreva.39.1605
Abstract
A method is presented for the calculation of tight upper and lower bounds for the energy eigenvalues of the Schrödinger equation. The method is based on a rational functional approximation for the series expansion of the solution of the Riccati equation for the logarithmic derivative of the wave function. Specific applications for one-dimensional anharmonic oscillators and for the Yukawa potential are given, and the present results are compared with those obtainable by other procedures.Keywords
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