Dirac Equation and Fisher Information
Previously, it was shown that Schrödinger’s theory can be derived from a potential flow Lagrangian provided a Fisher information term is added. This approach was later expanded to Pauli’s theory of an electron with spin, which required a Clebsch flow Lagrangian with non-zero vorticity. Here, we use...
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MDPI AG
2024-11-01
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| author | Asher Yahalom |
| author_facet | Asher Yahalom |
| author_sort | Asher Yahalom |
| collection | DOAJ |
| description | Previously, it was shown that Schrödinger’s theory can be derived from a potential flow Lagrangian provided a Fisher information term is added. This approach was later expanded to Pauli’s theory of an electron with spin, which required a Clebsch flow Lagrangian with non-zero vorticity. Here, we use the recent relativistic flow Lagrangian to represent Dirac’s theory with the addition of a Lorentz invariant Fisher information term as is required by quantum mechanics. |
| format | Article |
| id | doaj-art-1fe5c6b9130f4fb38de70ecb8a92ce9b |
| institution | OA Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-1fe5c6b9130f4fb38de70ecb8a92ce9b2025-08-20T01:53:49ZengMDPI AGEntropy1099-43002024-11-01261197110.3390/e26110971Dirac Equation and Fisher InformationAsher Yahalom0Department of Electrical & Electronic Engineering, Faculty of Engineering, Ariel University, Ariel 40700, IsraelPreviously, it was shown that Schrödinger’s theory can be derived from a potential flow Lagrangian provided a Fisher information term is added. This approach was later expanded to Pauli’s theory of an electron with spin, which required a Clebsch flow Lagrangian with non-zero vorticity. Here, we use the recent relativistic flow Lagrangian to represent Dirac’s theory with the addition of a Lorentz invariant Fisher information term as is required by quantum mechanics.https://www.mdpi.com/1099-4300/26/11/971spinrelativistic fluid dynamicsrelativistic quantum mechanics |
| spellingShingle | Asher Yahalom Dirac Equation and Fisher Information Entropy spin relativistic fluid dynamics relativistic quantum mechanics |
| title | Dirac Equation and Fisher Information |
| title_full | Dirac Equation and Fisher Information |
| title_fullStr | Dirac Equation and Fisher Information |
| title_full_unstemmed | Dirac Equation and Fisher Information |
| title_short | Dirac Equation and Fisher Information |
| title_sort | dirac equation and fisher information |
| topic | spin relativistic fluid dynamics relativistic quantum mechanics |
| url | https://www.mdpi.com/1099-4300/26/11/971 |
| work_keys_str_mv | AT asheryahalom diracequationandfisherinformation |