Interaction Potential between Parabolic Rotator and an Outside Particle

Table 2

The error of curvature-based potential between the concave parabolic rotator and the particle (𝑛=6).

𝑐̃	(𝑈̆6)numerical	(𝑈̆6)polynomial	(𝑈̆𝛿=^6)polynomial−(𝑈̆6)numerical(𝑈̆6)numerical
0.5	1.999990099763677	2.125000000000000	0.062505259526582
0.4	1.767008983006020	1.840000000000000	0.041307666059404
0.3	1.548796643131850	1.585000000000000	0.023375151946961
0.1	1.162688575661165	1.165000000000000	0.001987999527320
0.05	1.078359520840800	1.078750000000000	3.621048005354316𝑒−004
0.03	1.046242770650530	1.046350000000000	1.024899310924430𝑒−004
0.01	1.015137871366782	1.015150000000000	1.194776942179518𝑒−005
0.005	1.007530503256329	1.007537500000000	6.944448479219859𝑒−006
0.001	1.001496244320401	1.001501500000000	5.247827567111332𝑒−006
0.0001	1.000145034778507	1.000150015000000	4.979499292623452𝑒−006