solve the complicated integral

[star321]

∫[|Ψ(x,t)|²-Ψ(±∞,t)|²]dx=2Φ/g


where |Ψ(x,t|²=A²+ΩΦ²(Ω-2 A√g coshθcosΘ)/g(Ωcoshθ-2√g A cosΘ)²


and θ=Φx-2Φωℓ²v t-x_{o} Θ=-ωℓ²ΦΩt


the limit of integration is [-∞,∞]

 

[HallsofIvy]

∫[|Ψ(x,t)|²-Ψ(±∞,t)|²]dx=2Φ/g


where |Ψ(x,t|²=A²+ΩΦ²(Ω-2 A√g coshθcosΘ)/g(Ωcoshθ-2√g A cosΘ)²


and θ=Φx-2Φωℓ²v t-x_{o} Θ=-ωℓ²ΦΩt


the limit of integration is [-∞,∞]

I see no variable x in that integrand.

 

[DrPhil]

∫[|Ψ(x,t)|²-|Ψ(±∞,t)|²]dx=2Φ/g


where |Ψ(x,t)|²=A²+ΩΦ²(Ω-2 A√g coshθcosΘ)/g(Ωcoshθ-2√g A cosΘ)²


and θ=Φx-2Φωℓ²v t-x_{o}..... Θ=-ωℓ²ΦΩt.....Two separate statements?


the limit of integration is [-∞,∞]

If those are two separate statements, I can see how x appears in the integrand.

Is this a time-dependent Schroedinger equation? Have you submitted it on a Physics board, such as
http://physicshelpforum.com/physics-help-forum.php ?

 

[star321]

If those are two separate statements, I can see how x appears in the integrand.

Is this a time-dependent Schroedinger equation? Have you submitted it on a Physics board, such as
http://physicshelpforum.com/physics-help-forum.php ?

x appear in small thetha means thetha is variable