p⋍(1/2)∓⒤√(2k+1) | ||||
⓪□F (Fは証明できる) | ||||
①(□+m^2)φ⋍0 | ハイゼンベルグp138 | |||
② | aΦ/ax⋍±mΦ⋍±√(2k+1)Φ | |||
∵ | Φ⋍Φ₀・e^{±mx}⋍Φ₀・e^{±√(2k+1)x} | |||
∴ | x^2+x+Q,25⋍(x+1/2)^2+Q⋍0 | |||
k | 文献値 | 文/11 | +(s/11) | √Q⋍√2k+1 |
1 | 14.13472 | 1.284975 | 0.454545 | 1.73952 |
2 | 21.02203 | 1.911094 | 0.363636 | 2.27473 |
3 | 25.01085 | 2.273714 | 0.363636 | 2.63735 |
4 | 3 | |||
5 | 30.42487 | 2.765897 | 0.727273 | 3.49317 |
6 | 32.93506 | 2.994096 | 0.636364 | 3.63046 |
7 | 37.58617 | 3.416925 | 0.454545 | 3.87147 |
8 | 40.91871 | 3.719883 | 0.272727 | 3.99261 |
9 | 43.32707 | 3.938825 | 0.454545 | 4.39337 |
10 | 4.58257569 | |||
11 | 48.00515 | 4.364105 | 0.454545 | 4.81865 |
12 | 49.77383 | 4.524894 | 0.363636 | 4.88853 |
13 | 52.97 | 4.815455 | 0.454545 | 5.27 |
14 | 56.446 | 5.131455 | 0.454545 | 5.586 |
15 | 59.347 | 5.395182 | 0.181818 | 5.577 |
16 | 60.831 | 5.530091 | 0.090909 | 5.621 |
17 | 5.91607978 | |||
18 | 65.112 | 5.919273 | 0.272727 | 6.192 |
29 | 7.61577311 | |||
30 | 75.8 | 6.890909 | 0.909091 | 7.8 |
超幾何関数 | F[αβγ] | f(x)⇒1/f(x) | |
⓪ | F[1/t,-t,1/t] | F[1,-1,1] | 1-x⇒1/(1-x) |
F[-1/t,t,-1/t] | F[-1,1,-1] | 1+x⇒1/(1+x) | |
① | F[-s,s-1,-s] | F[2,-3,2]∴ | 逆数が有効 |
F[4,-5,4] | |||
F[s-1,-s,s-1] | F[-3,2,-3] | ||
F[-5,4,-5] | |||
② | コラーゲン | F[3,1,6] |