Straightforward Derivation of the Schr{ö}dinger Equation from Classical Mechanics and the Planck Postulate
| dc.creator | Granik, Alex | |
| dc.date | 2008-01-22 | |
| dc.date | 2008-04-16 | |
| dc.date.accessioned | 2026-07-07T09:32:36Z | |
| dc.date.available | 2026-07-07T09:32:36Z | |
| dc.description | According to the widely accepted notion, the Schr{ö}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. | |
| dc.description | 18 pages, 2 appendices, the title is changed, introduction and conclusions are revised for making more clear the purpose and the results of the paper | |
| dc.identifier | https://arxiv.org/abs/0801.3311 | |
| dc.identifier | http://arxiv.org/abs/0801.3311 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158837 | |
| dc.subject | Quantum Physics | |
| dc.title | Straightforward Derivation of the Schr{ö}dinger Equation from Classical Mechanics and the Planck Postulate | |
| dc.type | text |