dorsal/arxiv
View SchemaSchroedinger and Hamilton-Jacobi equations
| Authors | Milos V. Lokajicek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611176 |
| URL | https://arxiv.org/abs/quant-ph/0611176 |
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.
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"date_created": "2026-03-02T18:02:31.050000Z",
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"abstract": "Time-dependent Schroedinger equation represents the basis of any\nquantum-theoretical approach. The question concerning its proper content in\ncomparison to the classical physics has not been, however, fully answered until\nnow. It will be shown that there is one-to-one physical correspondence between\nbasic solutions (represented always by one Hamiltonian eigenfunction only) and\nclassical ones, as the non-zero quantum potential has not any physical sense,\nrepresenting only the \"numerical\" difference between Hamilton principal\nfunction and the phase of corresponding wave function in the case of\nnon-inertial motion. Possible interpretation of superposition solutions will be\nthen discussed in the light of this fact. And also different interpretation\nalternatives of the quantum-mechanical model will be newly analyzed and new\nattitude to them will be reasoned.",
"arxiv_id": "quant-ph/0611176",
"authors": [
"Milos V. Lokajicek"
],
"categories": [
"quant-ph"
],
"title": "Schroedinger and Hamilton-Jacobi equations",
"url": "https://arxiv.org/abs/quant-ph/0611176"
},
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