An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials

Table 2

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	1.023810	1.023910	1.023810	0.0000	3.70894	3.71064	3.70897	0.0008
0.2	0.986535	0.986646	0.98654	0.0005	3.61702	3.61890	3.61704	0.0007
0.3	0.948503	0.948629	0.948507	0.0004	3.52388	3.52596	3.52390	0.0007
0.4	0.909677	0.909820	0.909681	0.0004	3.42948	3.43179	3.42950	0.0006
0.5	0.870019	0.870181	0.870022	0.0004	3.33379	3.33636	3.33381	0.0005
0.6	0.829486	0.829670	0.829488	0.0003	3.23678	3.23962	3.23679	0.0005
0.7	0.788033	0.788243	0.788035	0.0003	3.13839	3.14155	3.13840	0.0004
0.8	0.745612	0.745852	0.745613	0.0002	3.03858	3.04210	3.03859	0.0003
0.9	0.702171	0.702447	0.702172	0.0001	2.93733	2.94123	2.93733	0.0003
1	0.657656	0.657972	0.657656	0.0000	2.83456	2.83891	2.83456	0.0001
2	0.137807	0.139170	0.137786	0.0152	1.71314	1.72629	1.71304	0.0061