Study of the Generalized Quantum Isotonic Nonlinear Oscillator Potential

Table 3

Exact eigenvalues for different values of 𝑙 and 𝑤𝑎² in the case Δ₃=0.

𝑛	𝑙	𝑤𝑎^2	Conditions	𝐸𝑛,𝑙≡𝐸^𝑤𝑎2𝑛,𝑙(𝜇,𝑔)
2	−1	1/2	𝜇1=−6.301870878994198	𝐸^1/22,−1=−6.051870878994198
			𝑔1=77.22293097048609
			𝜇2=−2.4855365082108594	𝐸^1/22,−1=−2.2355365082108594
			𝑔2=24.605574274703333
		1	𝜇1=−7.398182984326876	𝐸^12,−1=−7.148182984326876
			𝑔1=97.7240263912181
			𝜇2=−3.3550579014968194	𝐸^12,−1=−3.1050579014968194
			𝑔2=34.03170302988033
			𝜇3=0.9498105417574756	𝐸^22,−1=1.1998105417574756
			𝑔3=2.1530873564462514
		3/2	𝜇1=−8.469623341124414	𝐸^3/22,−1=−8.219623341124414
			𝑔1=120.08263624614156
			𝜇2=−4.27750521216504	𝐸^12,−1=−4.02750521216504
			𝑔2=45.684576900924284
			𝜇3=0.9282653601757613	𝐸^12,−1=1.1782653601757613
			𝑔3=2.2203497780234294
		2	𝜇1=−9.525122115065386	𝐸^22,−1=−9.275122115065383
			𝑔1=144.35356188223463
			𝜇2=−5.226942179911145	𝐸^22,−1=−4.976942179911145
			𝑔2=59.45563545168999
			𝜇3=0.9186508169859244	𝐸^22,−1=1.1686508169859244
			𝑔3=2.250665238619284
2	0	1/2	𝜇1=−8.032243023438463	𝐸^22,−1=−7.282243023438463
			𝑔1=110.67814310476818
			𝜇2=−4.32825470612182	𝐸2,−1=−3.57825470612182
			𝑔2=46.37506233167478
		2	𝜇1=−11.307737259773461	𝐸^22,−1=−10.557737259773461
			𝑔1=190.4036082349363
			𝜇2=−7.180564905703867	𝐸^22,−1=−6.430564905703867
			𝑔2=93.46333689354533
			𝜇3=0.9472009101393033	𝐸^22,−1=1.6972009101393033
			𝑔3=2.1611850134722084