Hamiltonian action of spinning particle with gravimagnetic moment

23rd International Conference on Integrable Systems and Quantum Symmetries

Deriglazov, Alexei A.^1,2 ; Guzmán Ramírez, W.^1

Depto. de Matemática, ICE, Universidade Federal de Juiz de Fora MG, Brazil^1

Laboratory of Mathematical Physics, Tomsk Polytechnic University, Lenin Ave, Tomsk, 30

634050, Russia^2

关键词: Covariant;    Homogeneous field;    Longitudinal acceleration;    Model yields;    Relativistic regime;    Spin tensors;    Spinning particles;    Variational problems;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012020/pdf
DOI  :  10.1088/1742-6596/670/1/012020

来源: IOP

【 摘 要 】

We develop Hamiltonian variational problem for spinning particle non-minimally interacting with gravity through the gravimagnetic moment κ. For κ = 0 our model yields Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations, the latter show unsatisfactory behavior of MPTD-particle in ultra-relativistic regime: its longitudinal acceleration increases with velocity. κ = 1 yields a modification of MPTD-equations with the reasonable behavior: in the homogeneous fields, both longitudinal acceleration and (covariant) precession of spin-tensor vanish as v→c.