  In this paper, Stieltjes electrostatic model and quantum Hamilton Jacobi
formalism is analogous to each other is shown. This analogy allows, the bound
state problem to mimics as $n$ unit moving imaginary charges $i\hbar$, which
are placed in between the two fixed imaginary charges arising due to the
classical turning points of the potential. The interaction potential between
$n$ unit moving imaginary charges $i\hbar$ is given by logarithm of the wave
function. For an exactly solvable potential, this system attains stable
equilibrium position at the zeros of the orthogonal polynomials depending upon
the interval of the classical turning points.
