Whether somebody knows what equally
<int(F*Fcomp)dx>.
Where F(x,t) is complex function: F=F1+i*F2, Fcomp=F*=F1-i*F2.
F satisfies to the next Shredinger like linereal stochastic partial differential equation:
i*h*Ft=-a*(Fxx-2*n*Fx/x+(n+1)*F/x/x)+U*F
int - sing of integral by dx,
Ft - first time derivative,
Ftt - second time derivative,
Fx - first dpase derivative,
Fxx - second spase derivative,
i - imaginary unity,
< > - sign of averaging on casual fluctuations U,
U - casual space - time, delta - correlated a white noise,
a, h, n – are consts. ( If it matters - there are interesting to me the cases n=1 and n=0,5)