x

|\textit{\Psi}\,|^2

q_1 = 1 (slider from 0 to 1, step 0.05)
q_{2} = 0 (slider from 0 to 1, step 0.05)
q_{3} = 1 (slider from 0 to 1, step 0.05)
q_{4} = 0 (slider from 0 to 1, step 0.05)
q_{5} = 1 (slider from 0 to 1, step 0.05)
qsqsum: q_1^(2) + q_{2}^(2) + q_{3}^(2) + q_{4}^(2) + q_{5}^(2)
c_1: q_1 / sqrt(qsqsum)
c_2: q_{2} / sqrt(qsqsum)
c_3: q_{3} / sqrt(qsqsum)
c_4: q_{4} / sqrt(qsqsum)
c_5: q_{5} / sqrt(qsqsum)
a = 3 (slider from 0 to 10, step 0.1)
E_1 = 0.58 (slider from 0 to 1, step 0.01)
E_2: (E_1 * 2^(2))
E_3: (E_1 * 3^(2))
E_4: (E_1 * 4^(2))
E_5: (E_1 * 5^(2))
k: pi / a
ψ_1(x) = (sqrt(2 / a) * sin((k * x)))
ψ_2(x) = (sqrt(2 / a) * sin(((2 * k) * x)))
ψ_3(x) = (sqrt(2 / a) * sin(((3 * k) * x)))
ψ_4(x) = (sqrt(2 / a) * sin(((4 * k) * x)))
ψ_5(x) = (sqrt(2 / a) * sin(((5 * k) * x)))
squared_1(x) = (ψ_1(x))^(2)
squared_2(x) = (ψ_2(x))^(2)
squared_3(x) = (ψ_3(x))^(2)
squared_4(x) = (ψ_4(x))^(2)
squared_5(x) = (ψ_5(x))^(2)
squared_{total}(x) = (c_1^(2) * squared_1(x)) + (c_2^(2) * squared_2(x)) + (c_3^(2) * squared_3(x)) + (c_4^(2) * squared_4(x)) + (c_5^(2) * squared_5(x))
t = 6.03 (slider from 0 to 10, step 0.01)
misch_{12}(x) = (((((2 * c_1) * c_2) * ψ_1(x)) * ψ_2(x)) * cos(((E_2 - E_1) * t)))
misch_{13}(x) = (((((2 * c_1) * c_3) * ψ_1(x)) * ψ_3(x)) * cos(((E_3 - E_1) * t)))
misch_{14}(x) = (((((2 * c_1) * c_4) * ψ_1(x)) * ψ_4(x)) * cos(((E_4 - E_1) * t)))
misch_{15}(x) = (((((2 * c_1) * c_5) * ψ_1(x)) * ψ_5(x)) * cos(((E_5 - E_1) * t)))
misch_{23}(x) = (((((2 * c_2) * c_3) * ψ_2(x)) * ψ_3(x)) * cos(((E_3 - E_2) * t)))
misch_{24}(x) = (((((2 * c_2) * c_4) * ψ_2(x)) * ψ_4(x)) * cos(((E_4 - E_2) * t)))
misch_{25}(x) = (((((2 * c_2) * c_5) * ψ_2(x)) * ψ_5(x)) * cos(((E_5 - E_2) * t)))
misch_{35}(x) = (((((2 * c_3) * c_5) * ψ_3(x)) * ψ_5(x)) * cos(((E_5 - E_3) * t)))
misch_{34}(x) = (((((2 * c_3) * c_4) * ψ_3(x)) * ψ_4(x)) * cos(((E_4 - E_3) * t)))
misch_{45}(x) = (((((2 * c_4) * c_5) * ψ_4(x)) * ψ_5(x)) * cos(((E_5 - E_4) * t)))
misch_{total}(x) = misch_{12}(x) + misch_{13}(x) + misch_{14}(x) + misch_{15}(x) + misch_{23}(x) + misch_{24}(x) + misch_{25}(x) + misch_{34}(x) + misch_{35}(x) + misch_{45}(x)
total(x) = squared_{total}(x) + misch_{total}(x)
pdichte(x) = If[0 < x < a, total(x), 0]
b = Integral(total, 0, a)
Text3: "c_1=" + (LaTeX[c_1]) + ""
Text3_{1}: "c_2=" + (LaTeX[c_2]) + ""
Text3_{2}: "c_3=" + (LaTeX[c_3]) + ""
Text3_{3}: "c_4=" + (LaTeX[c_4]) + ""
Text3_{4}: "c_5=" + (LaTeX[c_5]) + ""