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Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity
Joint Authors
Deriglazov, A. A.
Ramírez, Walberto Guzmán
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-49, 49 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-18
Country of Publication
Egypt
No. of Pages
49
Main Subjects
Abstract EN
We review the recent results on development of vector models of spin and apply them to study the influence of spin-field interaction on the trajectory and precession of a spinning particle in external gravitational and electromagnetic fields.
The formalism is developed starting from the Lagrangian variational problem, which implies both equations of motion and constraints which should be presented in a model of spinning particle.
We present a detailed analysis of the resulting theory and show that it has reasonable properties on both classical and quantum level.
We describe a number of applications and show how the vector model clarifies some issues presented in theoretical description of a relativistic spin: (A) one-particle relativistic quantum mechanics with positive energies and its relation with the Dirac equation and with relativistic Zitterbewegung; (B) spin-induced noncommutativity and the problem of covariant formalism; (C) three-dimensional acceleration consistent with coordinate-independence of the speed of light in general relativity and rainbow geometry seen by spinning particle; (D) paradoxical behavior of the Mathisson-Papapetrou-Tulczyjew-Dixon equations of a rotating body in ultrarelativistic limit, and equations with improved behavior.
American Psychological Association (APA)
Deriglazov, A. A.& Ramírez, Walberto Guzmán. 2017. Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-49.
https://search.emarefa.net/detail/BIM-1123301
Modern Language Association (MLA)
Deriglazov, A. A.& Ramírez, Walberto Guzmán. Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity. Advances in Mathematical Physics No. 2017 (2017), pp.1-49.
https://search.emarefa.net/detail/BIM-1123301
American Medical Association (AMA)
Deriglazov, A. A.& Ramírez, Walberto Guzmán. Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-49.
https://search.emarefa.net/detail/BIM-1123301
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123301