تقرير
Quantum Free Particle Wavefunction Stationary in Variations of Momentum? ...
| العنوان: | Quantum Free Particle Wavefunction Stationary in Variations of Momentum? ... |
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| المؤلفون: | Ruggeri, Francesco R. |
| بيانات النشر: | Zenodo |
| سنة النشر: | 2024 |
| المجموعة: | DataCite Metadata Store (German National Library of Science and Technology) |
| الوصف: | June 13, 2024: Note: d/dp derivatives and partial derivatives in the note are taken with mo, rest mass, being held constant. In a previous note (1), we suggested that the free particle form exp(ipx) ensures momentum conservation through: Integral dx exp(-i p2 x) exp(ip1 x) = 0 unless p1=p2 (one dimension). A similar form exp(iEt) or exp(-i Et) ensures conservation of free particle energy. In such a case, x and t are treated as independent variables, yet classically x/t= v if x=0 when t=0. Here we ask: How is the classical velocity linked to the quantum free particle probability exp(-iEt+ipx)? We assume P(p,E,x,t) is unknown and that one wishes to find a condition which links x and t to the classical velocity v which is contained in p and E. This suggests that in general x and t are not restricted by v, but p and E, being exact are. From special relativity, dE/dp = v for a free particle, so one may try taking dP/dp = dP/dp partial + dP/dE partial v. A solution is then: P(p,E,x,t) = exp(-iEt+ipx) such that ... |
| نوع الوثيقة: | report article in journal/newspaper |
| اللغة: | unknown |
| العلاقة: | https://dx.doi.org/10.5281/zenodo.11585725Test |
| DOI: | 10.5281/zenodo.11585726 |
| الإتاحة: | https://doi.org/10.5281/zenodo.1158572610.5281/zenodo.11585725Test |
| حقوق: | Creative Commons Attribution 4.0 International ; https://creativecommons.org/licenses/by/4.0/legalcodeTest ; cc-by-4.0 |
| رقم الانضمام: | edsbas.A51DBBA3 |
| قاعدة البيانات: | BASE |
| DOI: | 10.5281/zenodo.11585726 |
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