Straightforward Derivation of the Schrödinger Equation from Classical Mechanics and the Planck Postulate release_jktsw7koprbhrkqef7kcvodkia

by Alex Granik

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(2008)

Abstract

According to the widely accepted notion, the Schrödinger 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.
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Type  article
Stage   submitted
Date   2008-04-16
Version   v3
Language   en ?
arXiv  0801.3311v3
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