An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials

Table 3

Energy eigenvalues for the potential in (9) with different values of . and show the values obtained by variational supersymmetric method and numerical integration, respectively. The percent errors for ATEM are also shown in the fifth and ninth columns.

				Error (%)				Error (%)
0.1	7.33081	7.31384	7.33079	0.0002	11.48879	11.54258	11.48857	0.0019
0.2	7.20494	7.18687	7.20491	0.0004	11.33161	11.38692	11.33136	0.0022
0.3	7.07813	7.05889	7.07809	0.0005	11.17348	11.23045	11.17319	0.0026
0.4	6.95037	6.92988	6.95033	0.0006	11.01439	11.07307	11.01406	0.0030
0.5	6.82167	6.79984	6.82162	0.0008	10.85434	10.91477	10.85396	0.0035
0.6	6.69203	6.66874	6.69197	0.0009	10.69332	10.75556	10.69288	0.0041
0.7	6.56144	6.53660	6.56137	0.0010	10.53132	10.59547	10.53083	0.0047
0.8	6.42991	6.40340	6.42982	0.0014	10.36835	10.43448	10.36778	0.0055
0.9	6.29744	6.26913	6.29734	0.0016	10.20439	10.27258	10.20375	0.0063
1	6.16404	6.13379	6.16393	0.0018	10.03944	10.10978	10.03872	0.0072
2	4.78291	4.72244	4.78245	0.0096	8.33516	8.43395	8.33293	0.0268