Rotation and Spin and Position Operators in Relativistic Gravity and Quantum Electrodynamics
First, we examine how spin is treated in special relativity and the necessity of introducing spin supplementary conditions (SSC) and how they are related to the choice of a center-of-mass of a spinning particle. Next, we discuss quantum electrodynamics and the Foldy−Wouthuysen transformati...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-01-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/6/2/24 |
| _version_ | 1811303710874140672 |
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| author | Robert F. O’Connell |
| author_facet | Robert F. O’Connell |
| author_sort | Robert F. O’Connell |
| collection | DOAJ |
| description | First, we examine how spin is treated in special relativity and the necessity of introducing spin supplementary conditions (SSC) and how they are related to the choice of a center-of-mass of a spinning particle. Next, we discuss quantum electrodynamics and the Foldy−Wouthuysen transformation which we note is a position operator identical to the Pryce−Newton−Wigner position operator. The classical version of the operators are shown to be essential for the treatment of classical relativistic particles in general relativity, of special interest being the case of binary systems (black holes/neutron stars) which emit gravitational radiation. |
| first_indexed | 2024-04-13T07:52:55Z |
| format | Article |
| id | doaj.art-b03e8df705fb47be80a317fb8e073ae8 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-13T07:52:55Z |
| publishDate | 2020-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-b03e8df705fb47be80a317fb8e073ae82022-12-22T02:55:29ZengMDPI AGUniverse2218-19972020-01-01622410.3390/universe6020024universe6020024Rotation and Spin and Position Operators in Relativistic Gravity and Quantum ElectrodynamicsRobert F. O’Connell0Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USAFirst, we examine how spin is treated in special relativity and the necessity of introducing spin supplementary conditions (SSC) and how they are related to the choice of a center-of-mass of a spinning particle. Next, we discuss quantum electrodynamics and the Foldy−Wouthuysen transformation which we note is a position operator identical to the Pryce−Newton−Wigner position operator. The classical version of the operators are shown to be essential for the treatment of classical relativistic particles in general relativity, of special interest being the case of binary systems (black holes/neutron stars) which emit gravitational radiation.https://www.mdpi.com/2218-1997/6/2/24rotationspinposition operators |
| spellingShingle | Robert F. O’Connell Rotation and Spin and Position Operators in Relativistic Gravity and Quantum Electrodynamics Universe rotation spin position operators |
| title | Rotation and Spin and Position Operators in Relativistic Gravity and Quantum Electrodynamics |
| title_full | Rotation and Spin and Position Operators in Relativistic Gravity and Quantum Electrodynamics |
| title_fullStr | Rotation and Spin and Position Operators in Relativistic Gravity and Quantum Electrodynamics |
| title_full_unstemmed | Rotation and Spin and Position Operators in Relativistic Gravity and Quantum Electrodynamics |
| title_short | Rotation and Spin and Position Operators in Relativistic Gravity and Quantum Electrodynamics |
| title_sort | rotation and spin and position operators in relativistic gravity and quantum electrodynamics |
| topic | rotation spin position operators |
| url | https://www.mdpi.com/2218-1997/6/2/24 |
| work_keys_str_mv | AT robertfoconnell rotationandspinandpositionoperatorsinrelativisticgravityandquantumelectrodynamics |