Simplified solving procedure for the one-dimensional Schrodinger equation with asymmetrical boundary conditions

We propose a new simplified procedure for finding the analytical solutions of the stationary one-dimensional Schrodinger equation, with asymmetric bou ndary conditions imposed on the equation. The essence of the method consist s in expressing the general solation explicitly in terms of the boundary pa rameters in a form which, by itself, satisfies one of the boundary conditio ns involved; then, the other boundary condition gives straightforwardly the characteristic equation. This method may turn out to be beneficial with re gard to the recently growing interest in one-dimensional quantum systems.