Schroedinger and Hamilton-Jacobi equations
Abstract
Time-dependent Schroedinger equation represents the basis of any quantum-theoretical approach. The question concerning its proper content in comparison to the classical physics has not been, however, fully answered until now. It will be shown that there is one-to-one physical correspondence between basic solutions (represented always by one Hamiltonian eigenfunction only) and classical ones, as the non-zero quantum potential has not any physical sense, representing only the "numerical" difference between Hamilton principal function and the phase of corresponding wave function in the case of non-inertial motion. Possible interpretation of superposition solutions will be then discussed in the light of this fact. And also different interpretation alternatives of the quantum-mechanical model will be newly analyzed and new attitude to them will be reasoned.
Cite
@article{arxiv.quant-ph/0611176,
title = {Schroedinger and Hamilton-Jacobi equations},
author = {Milos V. Lokajicek},
journal= {arXiv preprint arXiv:quant-ph/0611176},
year = {2007}
}
Comments
7 pages