Particle in a box
Step
V0
mass
length
n
數值解
解析解
1
0
1
1
1
4.93
4.935
2
19.7
19.739
3
44.4
44.413
1
4.93
4.935
2
1.23
1.234
3
0.54
0.548
4.93
4.935
2
2.47
2.467
3
1.64
1.645
4.93
4.935
10
14.9
14.935
20
24.9
24.935
2
3
4
0
0
0
1
1
1
1
1
1
1
1
Slanted box
Step
V0
mass
length
n
數值解
解析解
1
1
1
1
1
5.44
5.435
2
20.2
20.239
3
44.9
44.913
1
5.43
5.435
2
2.20
2.234
3
1.88
2.048
5.43
5.435
2
2.96
2.967
3
2.14
2.145
4.93
4.935
1
5.43
5.435
2
5.93
5.935
3
6.43
6.436
4
6.93
6.935
5
7.40
7.435
10
9.72
9.935
20
14.4
14.935
30
18.1
19.935
100
40.0
54.935
2
3
4
1
1
0
1
1
1
1
1
1
1
1
Champagne bottle
Step
V0
mass
length
n
數值解
解析解
1
1
1
1
1
5.78
5.784
2
20.6
20.588
3
45.3
45.262
1
5.78
5.784
2
2.1
2.083
3
1.4
1.397
5.78
5.784
2
3.3
3.316
3
2.5
2.494
1
4.1
4.086
2
18.9
18.890
3
43.6
43.564
1
4.1
4.086
2
0.4
0.385
3
-0.3
-0.301
4.1
4.086
2
1.6
1.618
3
0.8
0.796
2
3
4
5
6
system
1
1
1
1
-1
-1
-1
V0
Champagne 10
bottle
Particle
in a box
1
0
1
1
1
1
1
1
1
1
1
mass
length
n
數值解
解析解
1
1
1
13.38
13.425
2
26.5
28.229
3
51.0
52.903
4
85.0
87.447
1
4.93
4.935
2
19.7
19.739
3
44.4
44.413
4
78.95
78.957
1
1
One-Dimensional egg carton
N
V0
mass
length
n
數值解
解析解
8
1
1
1
1
0.8888
1.0493
2
1
1.1974
3
1.16
1.4441
4
1.25
1.7896
5
2.44
2.2337
6
2.88
2.7765
Particle on the ring
Step
V0
I
length
n
數值解
解析解
1
0
1
1
1
0.5
0.5
2
2
2
3
4.5
4.5
4
8
8