Relativistic Two-Dimensional Harmonic Oscillator Plus Cornell Potentials in External Magnetic and AB Fields

Table 3

The nonrelativistic energy eigenvalues (𝐸_𝑛𝑚 in atomic units) of the harmonic oscillator potential for various 𝜔_𝐿 values and 𝜉=0.

𝑚	𝑛	𝐸𝑛𝑚
		𝜔𝐿=0	𝜔𝐿=1	𝜔𝐿=2	𝜔𝐿=3	𝜔𝐿=4	𝜔𝐿=5	𝜔𝐿=6	𝜔𝐿=7	𝜔𝐿=8
0	0	1.0	1.41421	2.23607	3.16228	4.12311	5.09902	6.08276	7.07107	8.06226
	1	3.0	4.24264	6.7082	9.48683	12.3693	15.2971	18.2483	21.2132	24.1868
	2	5.0	7.07107	11.1803	15.8114	20.6155	25.4951	30.4138	35.3553	40.3113
	3	7.0	9.89949	15.6525	22.1359	28.8617	35.6931	42.5793	49.4972	56.4358
1	0	2.0	3.82843	6.47214	9.32456	12.2462	15.198	18.1655	21.1421	24.1245
	1	4.0	6.65685	10.9443	15.6491	20.4924	25.3961	30.3311	35.2843	40.249
	2	6.0	9.48528	15.4164	21.9737	28.7386	35.5941	42.4966	49.4264	56.3735
	3	8.0	12.3137	19.8885	28.2982	36.9848	45.7922	54.6621	63.5685	72.4981