An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials

Table 4

Comparison of the first few energy eigenvalues of potential in (17) with different values of . The percent errors for ATEM are also shown in the fifth and tenth columns.

			^[31]	Error (%)				^[31]	Error (%)
0	0	0	0	0.0000		0	−2.82843	−2.82843	0.000
	1	1.9354	1.9354	0.0000		1	−2.26507	—	—
	2	6.2981	6.2985	0.0064		2	2.83243	2.83843	0.1414
	3	11.6869	11.6809	0.0514		3	7.19836	7.19806	0.0042
	4	18.1031	18.0426	0.3353		4	13.0142	13.0093	0.0377
	5	24.7273	25.2546	2.0879		5	19.6564	19.7215	0.3301
						6	26.6816	27.2400	2.0499
			^[31]	Error (%)				^[31]	Error (%)
1	0	−8	−8	0.0000		0	−15.0775	—	—
	1	7.91736	7.91735	0.0001		1	−15.0686	—	—
	2	0	0	0.0000		2	−3.55932	—	—
	3	2.52034	2.52036	0.0008		3	−2.73313	—	—
	4	8	8	0.0000		4	3.55932	—	—
	5	14.1105	14.1130	0.0177		5	8.52713	—	—
	6	21.1161	21.1575	0.1957		6	15.0775	—	—
	7	29.6605	28.9748	2.3665		7	22.4392	—	—