Advances in Mathematical Physics

Research Article

Application of the Asymptotic Taylor Expansion Method to Bistable Potentials

Table 1

Eigenvalues of the potential in (15) for a range of values. For ATEM results, number of iterations for each value is set to . For SUSY results, numbers in parenthesis () denote the perturbation order used by authors in [40].


		[40]	[42]

0.01	1.007373	1.00737 ()	1.007373
	3.036525	3.03653 ()	3.036525
	5.093939	5.09609 ()	5.093939
	7.178573	7.19832 ()	7.178573

0.05	1.034729	1.03473 ()	1.034729
	3.167225	3.16723 ()	3.167225
	5.417261	5.42404 ()	5.417261
	7.770271	7.83995 ()	7.770271

0.1	1.065286	1.06528 ()	1.065286
	3.306872	3.30687 ()	3.306872
	5.747959	5.75694 ()	5.747959
	8.352678	8.45913 ()	8.352678

0.5	1.2418541	1.24118 ()	1.2418541
	4.051932	4.05171 ()	4.051932
	7.396900	7.40489 ()	7.396900
	11.11515	11.3415 ()	11.11515

1	1.392352	1.39017 ()	1.392352
	4.648813	4.64784 ()	4.648813
	8.655049	8.65908 ()	8.655049
	13.15680	13.4524 ()	13.15680

10	2.449174	2.42910 ()	2.449174
	8.599003	8.58582 ()	8.599003
	16.63592	16.6188 ()	16.63592
	25.80627	26.4698 ()	25.80627

100	4.999410	4.93770 ()	4.999418
	17.83000	17.7864 ()	17.83019
	34.87117	34.8238 ()	34.87398
	54.36576	55.4001 ()	54.38529