Anomalous bootstrap on the half-line

We study carefully the problem of bootstrap on half line. show why one needs full set constraints derived from Stieltjes theorem moment by reexamining previous results hydrogen atom. also atom at continuous angular momentum. that alone do not fix boundary conditions in all cases and least positive matrices to be slightly enlarged remove unphysical branches. explain how solve more general for Robin conditions. The recursion relations are usually used receive additional anomalous contributions. These corrections necessary compute moments measure. apply these linear potential we matches analytical results, based Airy function, this example.