Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications
A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals, are treated equally, which makes the new the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/11/1213 |
| _version_ | 1797532443920564224 |
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| author | Bao D. Tran Zdzislaw E. Musielak |
| author_facet | Bao D. Tran Zdzislaw E. Musielak |
| author_sort | Bao D. Tran |
| collection | DOAJ |
| description | A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals, are treated equally, which makes the new theory fully symmetric and consistent with the special theory of relativity. The theory correctly reproduces the classical action of a relativistic particle in the path integral formalism, and allows for the introduction of a new quantity called vector-mass, whose physical implications for nonlocality, the uncertainty principle, and quantum vacuum are described and discussed. |
| first_indexed | 2024-03-10T10:59:15Z |
| format | Article |
| id | doaj.art-2b54cfaec1924727b19f1d6e00ae93b5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T10:59:15Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2b54cfaec1924727b19f1d6e00ae93b52023-11-21T21:36:37ZengMDPI AGMathematics2227-73902021-05-01911121310.3390/math9111213Fully Symmetric Relativistic Quantum Mechanics and Its Physical ImplicationsBao D. Tran0Zdzislaw E. Musielak1Departmemt of Physics, University of Texas at Arlington, Arlington, TX 76019, USADepartmemt of Physics, University of Texas at Arlington, Arlington, TX 76019, USAA new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals, are treated equally, which makes the new theory fully symmetric and consistent with the special theory of relativity. The theory correctly reproduces the classical action of a relativistic particle in the path integral formalism, and allows for the introduction of a new quantity called vector-mass, whose physical implications for nonlocality, the uncertainty principle, and quantum vacuum are described and discussed.https://www.mdpi.com/2227-7390/9/11/1213relativistic quantum mechanicsgeneralized Klein–Gordon equationpath integral formulationnonlocalityquantum measurementuncertainty principle |
| spellingShingle | Bao D. Tran Zdzislaw E. Musielak Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications Mathematics relativistic quantum mechanics generalized Klein–Gordon equation path integral formulation nonlocality quantum measurement uncertainty principle |
| title | Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications |
| title_full | Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications |
| title_fullStr | Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications |
| title_full_unstemmed | Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications |
| title_short | Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications |
| title_sort | fully symmetric relativistic quantum mechanics and its physical implications |
| topic | relativistic quantum mechanics generalized Klein–Gordon equation path integral formulation nonlocality quantum measurement uncertainty principle |
| url | https://www.mdpi.com/2227-7390/9/11/1213 |
| work_keys_str_mv | AT baodtran fullysymmetricrelativisticquantummechanicsanditsphysicalimplications AT zdzislawemusielak fullysymmetricrelativisticquantummechanicsanditsphysicalimplications |