Calculation of Matrix Elements for One-Dimensional Quantum-Mechanical Problems and the Application to Anharmonic Oscillators
- 1 September 1965
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 43 (5) , 1515-1517
- https://doi.org/10.1063/1.1696963
Abstract
A simple method using the techniques of transformation theory for the generation of the matrix elements of unusual potential functions for one‐dimensional quantum‐mechanical problems is described. It is applicable both to functions which exist as a set of points, for example, a curve or table, as well as to those in explicit form. Some representative calculations have been made for anharmonic oscillators.Keywords
This publication has 4 references indexed in Scilit:
- Structure of the Xp Matrices in the Simple Harmonic Oscillator RepresentationThe Journal of Chemical Physics, 1965
- Quartic Oscillator as a Basis for Energy Level Calculations of Some Anharmonic OscillatorsThe Journal of Chemical Physics, 1964
- Oscillators Perturbed by Gaussian BarriersThe Journal of Chemical Physics, 1963
- Some energy levels and matrix elements of the quartic oscillatorJournal of Molecular Spectroscopy, 1963