Table 3:
Approximate solution of (
4.30
) for some values of
𝛼
using the 3-term HAM approximation,
𝜙
3
, with
ℏ
=
−
1
and
−
1
.
0
5
1
3
3
.
𝛼
=
0
.
5
𝛼
=
0
.
7
5
𝛼
=
1
.
0
𝑡
𝑥
ℏ
=
−
1
ℏ
=
−
1
.
0
5
1
3
ℏ
=
−
1
ℏ
=
−
1
.
0
5
1
3
ℏ
=
−
1
ℏ
=
−
1
.
0
5
1
3
Exact
0.1
0.25
0.946129
0.984066
0.488195
0.496911
0.317948
0.319612
0.316042
0.50
0.843908
0.883590
0.405740
0.414926
0.250500
0.252292
0.250000
0.75
0.715013
0.752540
0.324453
0.333180
0.190964
0.192689
0.191689
1.0
0.576466
0.609185
0.249683
0.257315
0.140979
0.142501
0.142537
0.2
0.25
1.475318
1.551785
0.791250
0.816533
0.481199
0.488421
0.461284
0.50
1.359827
1.439679
0.690146
0.716646
0.396941
0.404576
0.387456
0.75
1.180981
1.256421
0.574405
0.599498
0.315266
0.322535
0.316042
1.0
0.970078
1.035807
0.456647
0.478543
0.241175
0.247540
0.250000
0.3
0.25
1.967448
2.082543
1.124230
1.171123
0.681440
0.698116
0.604195
0.50
1.845234
1.965336
1.009482
1.058531
0.581860
0.599391
0.534447
0.75
1.622908
1.736324
0.859509
0.905896
0.475833
0.492464
0.461284
1.0
1.345505
1.444292
0.695479
0.735922
0.372917
0.387446
0.387456