Solution of the One-Dimensional Schrödinger Equation by the Method of Continued Fractions
- 15 August 1968
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 49 (4) , 1740-1744
- https://doi.org/10.1063/1.1670301
Abstract
The one‐dimensional Schrödinger equation is solved for a general polynomial type of potential function by the method of continued fractions. The inherent computational difficulties of the problem are overcome by the use of a digital computer. Energy levels and matrix elements are reported specifically for the quartic oscillator and for a double minimum potential.Keywords
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