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People construct quantum bound states either non-numerically (in not too manyexceptional cases) or, in general, numerically (mainly using majorization ordiscretization techniques). We point out that there exists a class ofinteractions "in between". Being, in conventional terminology, neither exactlysolvable nor purely numerical. The idea is illustrated by the elementaryexponential-well toy-model potential $V(x)= -g^2\exp (-|x|)$.

Semi-analytic version of shooting method and the bound states in non-analytic potential $V(x)= -g^2\exp (-|x|)$