Uncertainty principle for proper time and mass II
| dc.creator | Kudaka, Shoju | |
| dc.creator | Matsumoto, Shuichi | |
| dc.date | 1999-01-14 | |
| dc.date | 1999-01-20 | |
| dc.date.accessioned | 2026-07-07T06:16:03Z | |
| dc.date.available | 2026-07-07T06:16:03Z | |
| dc.description | When we quantize a system consisting of a single particle, the proper time $τ$ and the rest mass $m$ are usually dealt with as parameters. In the present article, however, we introduce a new quantization rule by which these quantities are regarded as operators in addition to the position and the momentum. Applying this new rule to a scalar particle and to a particle with spin $ 1/2 $, we analyze the time evolution of the operator $τ$. In the former case, the evolution of the proper time perfectly matches several well-established classical formulae. In the case of the particle with spin 1/2, our new rule implies that an oscillation appears in the time evolution of the operator $τ$. This oscillation is similar to Zitterbewegung which is well-known in the ordinary Dirac theory. We formulate one physical effect of this oscillation by considering the interaction with a gravitational field, and estimate how small it is. | |
| dc.description | 15 pages, LaTex | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9901031 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9901031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/93942 | |
| dc.subject | Quantum Physics | |
| dc.title | Uncertainty principle for proper time and mass II | |
| dc.type | text |