According to the widely accepted notion, the Schr{o}dinger equation (SE) is not derivable in principle. Contrary to this belief, we present here a straightforward derivation of SE. It is based on only two fundamentals of mechanics: the classical Hamilton-Jacobi equation(HJE) and the Planck postulate about the discrete transfer of energy at micro-scales. Our approach is drastically different from the other published derivations of SE which either employ an ad hoc underlying assumption about the probabilistic or the statistical nature of the micro-scale phenomena, or rely on the prior knowledge of SE and arrive at it by introducing a new postulate - neither present in classical mechanics nor following from experiments - with a suitable but physically unjustifiable choice of a key arbitrary constant.
Earlier this year (May) I wrote a paper entitled Scale Factors and the Scale Principle. In this paper I formulated a new law which describes a number of fundamental quantum mechanical laws. Since then I found that other quantum mechanical laws including the Bohr postulate and the De Broglie wavelength formula also obey the scale principle. Later I proved that this new law also describes the formula for the Schwarzschild radius, the equation for Einstein’s relativistic energy and Newton’s law of universal gravitation. Now I discovered that the Schrodinger’s equation can also be explained in terms of the present formulation.