Heisenberg uncertainty relations for relativistic bosons
| Autor: | Iwo Bialynicki-Birula, Adam Prystupiuk |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Physical Review A. 103 |
| ISSN: | 2469-9934 2469-9926 |
| Popis: | This work completes the program started in \cite{bb1,bb2,bb3} to derive the Heisenberg uncertainty relation for relativistic particles. Sharp uncertainty relations for massive relativistic particles with spin 0 and spin 1 are derived. The main conclusion is that the uncertainty relations for relativistic bosons are markedly different from those for relativistic fermions. The uncertainty relations for bosons are based on the energy density. It is shown that the uncertainty relations based on the time-component of the four-current, as was have done in \cite{bb3} for electrons, are untenable because they lead to contradictions. 2 figures |
| Databáze: | OpenAIRE |
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