test

[kwrk]

[math]y=x^2[/math]

[math]\alpha_0=\alpha[/math]

[math]\alpha[/math]

[math]y=x^2[/math]

[math]y=x^2[/math]

[math]W_n / W_{ref} = (y_l^m)^{-1/3} \Pi_{k=0}^n\alpha_0^{ (-1/3^k)}[/math]

[math]y=x^2[/math]

Edited January 7, 2018 by kwrk

[kwrk]

[math]y=x^2[/math]

[math]\psi\Psi[/math]

[math]W_n / W_{ref} = (y_l^m)^{-1/3} \pi_{k=0}^n\alpha_0^{ (-1/3^k)}[/math]

[math]W_n/W_{ref}=(y_l^m)^{-1/3}\pi_{k=0}^n\alpha_0^{(-1/3^k)}[/math]

[math]W_n / W_{ref} = (y_l^m)^{-1/3} \Pi_{k=0}^n\alpha_0^{ (-1/3^k)}[/math]

Edited January 7, 2018 by kwrk

[kwrk]

[math]W_n/W_e ={1.509}(y_l^m)^{-1/3}\Pi_{k=0}^n\alpha^{-{1/3}^k}[/math], y=1 for spherical, y=1/3 for 1^st angular symmetry.

 [math]\alpha[/math]

[math] g_a g_D \hbar/2[/math]

[math] \hbar/2[/math]

[math]W_n/W_{ref}=(y_l^m)^{-1/3}\Pi_{k=0}^n\alpha_0^{(-1/3^k)}[/math]

[math]W_n/W_{ref}=(y_l^m)^{-1/3}\Pi_{k=0}^n\alpha_0^{(-1/3^k)}[/math]

Wn/Wref=(yml)−1/3Πnk=0α(−1/3k

 

Edited January 7, 2018 by kwrk

[kwrk]

Ψ = exp(-(β/(2r³))

 

I point charge: W_pc = ε ∫ E² Ψ² d³r
II photon: W_ph = hc / (∫ Ψ² dr)

W_n/W_electron = 3/2 Π(k=0-n) α^(-3/3^k)

n, l.................W_calc/W_lit....α-coefficient (energy)
-1,∞....Planck......0.999.........2/3 α^(-3) (2/3α^(-3))^3 3/2 α^(-1) 2........ [source term]
0, 0.........e...........1.000.........2/3 α^(-3)
1, 0.........µ...........1.000.........α^(-3)α^(-1)
2, 0.........η...........0.993.........α^(-3)α^(-1)α^(-1/3)
3, 0.........p...........1.002.........α^(-3)α^(-1)α^(-1/3)α^(-1/9)
3, 0.........n...........1.000.........α^(-3)α^(-1)α^(-1/3)α^(-1/9)
4, 0.........Λ...........1.011.........α^(-3)α^(-1)α^(-1/3)α^(-1/9)α^(-1/27)
5, 0.........Σ............1.005.........α^(-3)α^(-1)α^(-1/3)α^(-1/9)α^(-1/27)α^(-1/81)
∞,0.........Δ............1.003.........α^(-9/2)
1, 1.........π............1.092.........α^(-3)α^(-1) 1.44
2, 1........ω0...........1.003.........α^(-3)α^(-1)α^(-1/3) 1.44
3, 1........Σ0............0.980........ α^(-3)α^(-1)α^(-1/3)α^(-1/9) 1.44
4, 1........Ω-............0.972........α^(-3)α^(-1)α^(-1/3)α^(-1/9)α^(-1/27) 1.44
5, 1........N1720.....1.005.........α^(-3)α^(-1)α^(-1/3)α^(-1/9)α^(-1/27)α^(-1/81) 1.44
∞,1........tau...........1.003........ α^(-9/2) 1.44
∞,∞.......Higgs.......1.019........ α^(-9/2) 3/2 α^(-1)/2